From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001 From: prashantsinalkar Date: Tue, 10 Oct 2017 12:27:19 +0530 Subject: initial commit / add all books --- 3751/CH2/EX2.1/Ex2_1.sce | 21 ++++++++++ 3751/CH2/EX2.10/Ex2_10.sce | 21 ++++++++++ 3751/CH2/EX2.11/Ex2_11.sce | 40 ++++++++++++++++++ 3751/CH2/EX2.12/Ex2_12.sce | 37 ++++++++++++++++ 3751/CH2/EX2.13/Ex2_13.sce | 30 +++++++++++++ 3751/CH2/EX2.14/Ex2_14.sce | 27 ++++++++++++ 3751/CH2/EX2.14/Ex2_14_Velocity_Triangles.jpg | Bin 0 -> 500240 bytes 3751/CH2/EX2.15/Ex2_15.sce | 38 +++++++++++++++++ 3751/CH2/EX2.16/Ex2_16.sce | 39 +++++++++++++++++ 3751/CH2/EX2.17/Ex2_17.sce | 38 +++++++++++++++++ 3751/CH2/EX2.18/Ex2_18.sce | 36 ++++++++++++++++ 3751/CH2/EX2.19/Ex2_19.sce | 58 ++++++++++++++++++++++++++ 3751/CH2/EX2.2/Ex2_2.sce | 28 +++++++++++++ 3751/CH2/EX2.20/Ex2_20.sce | 31 ++++++++++++++ 3751/CH2/EX2.21/Ex2_21.sce | 39 +++++++++++++++++ 3751/CH2/EX2.21/Ex2_21_Velocity_Triangles.jpg | Bin 0 -> 565931 bytes 3751/CH2/EX2.22/Ex2_22.sce | 36 ++++++++++++++++ 3751/CH2/EX2.23/Ex2_23.sce | 47 +++++++++++++++++++++ 3751/CH2/EX2.24/Ex2_24.sce | 38 +++++++++++++++++ 3751/CH2/EX2.25/Ex2_25.sce | 42 +++++++++++++++++++ 3751/CH2/EX2.26/Ex2_26.sce | 24 +++++++++++ 3751/CH2/EX2.27/Ex2_27.sce | 31 ++++++++++++++ 3751/CH2/EX2.28/Ex2_28.sce | 28 +++++++++++++ 3751/CH2/EX2.29/Ex2_29.sce | 28 +++++++++++++ 3751/CH2/EX2.3/Ex2_3.sce | 21 ++++++++++ 3751/CH2/EX2.30/Ex2_30.sce | 23 ++++++++++ 3751/CH2/EX2.31/Ex2_31.sce | 30 +++++++++++++ 3751/CH2/EX2.32/Ex2_32.sce | 24 +++++++++++ 3751/CH2/EX2.33/Ex2_33.sce | 33 +++++++++++++++ 3751/CH2/EX2.34/Ex2_34.sce | 30 +++++++++++++ 3751/CH2/EX2.35/Ex2_35.sce | 38 +++++++++++++++++ 3751/CH2/EX2.4/Ex2_4.sce | 26 ++++++++++++ 3751/CH2/EX2.5/Ex2_5.sce | 21 ++++++++++ 3751/CH2/EX2.6/Ex2_6.sce | 31 ++++++++++++++ 3751/CH2/EX2.7/Ex2_7.sce | 35 ++++++++++++++++ 3751/CH2/EX2.8/Ex2_8.sce | 29 +++++++++++++ 3751/CH2/EX2.9/Ex2_9.sce | 30 +++++++++++++ 37 files changed, 1128 insertions(+) create mode 100644 3751/CH2/EX2.1/Ex2_1.sce create mode 100644 3751/CH2/EX2.10/Ex2_10.sce create mode 100644 3751/CH2/EX2.11/Ex2_11.sce create mode 100644 3751/CH2/EX2.12/Ex2_12.sce create mode 100644 3751/CH2/EX2.13/Ex2_13.sce create mode 100644 3751/CH2/EX2.14/Ex2_14.sce create mode 100644 3751/CH2/EX2.14/Ex2_14_Velocity_Triangles.jpg create mode 100644 3751/CH2/EX2.15/Ex2_15.sce create mode 100644 3751/CH2/EX2.16/Ex2_16.sce create mode 100644 3751/CH2/EX2.17/Ex2_17.sce create mode 100644 3751/CH2/EX2.18/Ex2_18.sce create mode 100644 3751/CH2/EX2.19/Ex2_19.sce create mode 100644 3751/CH2/EX2.2/Ex2_2.sce create mode 100644 3751/CH2/EX2.20/Ex2_20.sce create mode 100644 3751/CH2/EX2.21/Ex2_21.sce create mode 100644 3751/CH2/EX2.21/Ex2_21_Velocity_Triangles.jpg create mode 100644 3751/CH2/EX2.22/Ex2_22.sce create mode 100644 3751/CH2/EX2.23/Ex2_23.sce create mode 100644 3751/CH2/EX2.24/Ex2_24.sce create mode 100644 3751/CH2/EX2.25/Ex2_25.sce create mode 100644 3751/CH2/EX2.26/Ex2_26.sce create mode 100644 3751/CH2/EX2.27/Ex2_27.sce create mode 100644 3751/CH2/EX2.28/Ex2_28.sce create mode 100644 3751/CH2/EX2.29/Ex2_29.sce create mode 100644 3751/CH2/EX2.3/Ex2_3.sce create mode 100644 3751/CH2/EX2.30/Ex2_30.sce create mode 100644 3751/CH2/EX2.31/Ex2_31.sce create mode 100644 3751/CH2/EX2.32/Ex2_32.sce create mode 100644 3751/CH2/EX2.33/Ex2_33.sce create mode 100644 3751/CH2/EX2.34/Ex2_34.sce create mode 100644 3751/CH2/EX2.35/Ex2_35.sce create mode 100644 3751/CH2/EX2.4/Ex2_4.sce create mode 100644 3751/CH2/EX2.5/Ex2_5.sce create mode 100644 3751/CH2/EX2.6/Ex2_6.sce create mode 100644 3751/CH2/EX2.7/Ex2_7.sce create mode 100644 3751/CH2/EX2.8/Ex2_8.sce create mode 100644 3751/CH2/EX2.9/Ex2_9.sce (limited to '3751/CH2') diff --git a/3751/CH2/EX2.1/Ex2_1.sce b/3751/CH2/EX2.1/Ex2_1.sce new file mode 100644 index 000000000..7dbb44435 --- /dev/null +++ b/3751/CH2/EX2.1/Ex2_1.sce @@ -0,0 +1,21 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.1 + clc + clear + +//Given Data:- + V=32; //Velocity of the Jet, m/s + d=5; //Diameter of the Jet, cm + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + d=d/100; //cm + a=(%pi/4)*d^2; //cross-sectional area of Jet, m^2 + m=rho*a*V; //Mass Flow Rate, kg/s + F=m*V/1000; //Force Exerted by the Jet on the flat plate, kN +//Result:- + printf("The Force exerted by the Jet on the plate=%.3f kN \n", F) //The answer vary due to round off error + diff --git a/3751/CH2/EX2.10/Ex2_10.sce b/3751/CH2/EX2.10/Ex2_10.sce new file mode 100644 index 000000000..025d48f38 --- /dev/null +++ b/3751/CH2/EX2.10/Ex2_10.sce @@ -0,0 +1,21 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.10 + clc + clear +//Given Data:- + V1=40; //Velocity of the Jet at Inlet, m/s + V2=32; //Velocity of the Jet at Outlet, m/s + theta=65; //Angle of Deflection from original direction, degrees + m=0.9; //Mass flow rate, kg/s + +//Computations:- + Fx=m*(V1-V2*cosd(theta)); //N (Answer in textbook is wrong) + Fy=m*V2*sind(theta); //N + F_R=sqrt(Fx^2+Fy^2); //Resultant Force, N + phi=atand(Fy/Fx); //Angle made by resultant with X-axis, degrees + +//Results:- + printf("Resultant Force, F_R=%.2f N at an angle, phi=%.2f Degrees to X-axis", F_R, phi) //The answer provided in the textbook is wrong + + diff --git a/3751/CH2/EX2.11/Ex2_11.sce b/3751/CH2/EX2.11/Ex2_11.sce new file mode 100644 index 000000000..9c2663172 --- /dev/null +++ b/3751/CH2/EX2.11/Ex2_11.sce @@ -0,0 +1,40 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.11 + clc + clear +//Given Data:- + //(a) + V=60; //Velocity of the Jet, m/s + theta=30; //Angle of Outlet, degrees + //(b) + u=25; //Velocity of vane, m/s + + +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + //(a) + Fx=(V/g)*(1+cosd(theta)); //Force exerted by Unit weight of water in direction of Jet, N/N of Water + Fy=V*sind(theta)/g; //Force exerted by Unit weight of water in direction perpendicular to direction of Jet, N/N of Water + F_R=sqrt(Fx^2+Fy^2); //Resultant for per unit weight of water, N/N of Water + phi=atand(Fy/Fx); //Angle made by resultant with X-axis, degrees + +//Results(a):- + printf("(a)\nForce exerted by Unit weight of water in direction of Jet, Fx=%.2f N/N of Water \n", Fx) + printf("Force exerted by Unit weight of water in direction perpendicular to direction of Jet, Fy=%.2f N/N of water \n", Fy) //The answer vary due to round off error + printf("Resulatant Force, F_R=%.2f N/N of Water at angle, phi=%.2f degrees \n\n", F_R, phi) //The answer vary due to round off error + //(b) + Fx=(V-u)*(1+cosd(theta))/g; //Force exerted by Unit weight of water in direction of Jet, N/N of Water + Fy=(V-u)*sind(theta)/g; //Force exerted by Unit weight of water in direction perpendicular to direction of Jet, N/N of Water + F_R=sqrt(Fx^2+Fy^2); //Resultant force per unit weight of water, N/N of Water + phi=atand(Fy/Fx); //Angle made by resultant with X-axis, degrees + W=Fx*u; //N-m/s/N of Water + P=Fx*u/1000; //Power developed per unit weight of water, KW/N of Water + //Result(b) + printf("(b)\nForce exerted by Unit weight of water in direction of Jet, Fx=%.2f N/N of Water \n", Fx) //The answer vary due to round off error + printf("Force exerted by Unit weight of water in direction perpendicular to direction of Jet, Fy=%.2f N/N of water \n", Fy) + printf("Resulatant Force, F_R=%.2f N/N of Water at angle, phi=%.2f degrees \n\n", F_R, phi) //The answer vary due to round off error + printf("Work done per unit weight of water=%.2f N-m/s/N of Water \n", W) //The answer vary due to round off error + printf("Power developed per unit weight of water=%.4f KW/N of Water", P) //The answer vary due to round off error diff --git a/3751/CH2/EX2.12/Ex2_12.sce b/3751/CH2/EX2.12/Ex2_12.sce new file mode 100644 index 000000000..4b8fe3e4d --- /dev/null +++ b/3751/CH2/EX2.12/Ex2_12.sce @@ -0,0 +1,37 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.12 + clc + clear +//Given Data:- + Vi=22; //Absolute velocity of Jet at Inlet of Vane, m/s + u=11; //Velocity of Vane, m/s + ui=u; + uo=u; + alpha_i=25; //Angle made by Jet at Inlet, degrees + alpha_l=135; //Angle made by Jet at leaving, degrees + alpha_o=180-alpha_l; //degrees + +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + //(a) + Vwi=Vi*cosd(alpha_i); //m/s + Vfi=Vi*sind(alpha_i); //m/s + Vrwi=Vwi-ui; //m/s + beta_i=atand(Vfi/Vrwi); //degrees + Vri=Vfi/sind(beta_i); //m/s + Vro=Vri; + beta_o=alpha_o-asind(uo*sind(180-alpha_o)/Vro); //degrees + Vwo=Vro*cosd(beta_o)-uo; //degrees + //(b) + W=(Vwi+Vwo)*u/g; //N-m/N + +//Results:- + printf("(a)Vane angle at Inlet, beta_i=%.2f degrees \n", beta_i) //The answer vary due to round off error + printf(" Vane angle at Outlet, beta_o=%.2f degrees \n", beta_o) //The answer vary due to round off error + printf("(b)Work done per second per unit weight of water striking the vane per second=%.2f N-m/N", W) //The answer vary due to round off error + + + diff --git a/3751/CH2/EX2.13/Ex2_13.sce b/3751/CH2/EX2.13/Ex2_13.sce new file mode 100644 index 000000000..874d95aac --- /dev/null +++ b/3751/CH2/EX2.13/Ex2_13.sce @@ -0,0 +1,30 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.13 + clc + clear + +//Given Data:- + d=25; //Diameter of the Jet, mm + V=27; //Velocity of the Jet, m/s + AoD=140; //Angle of Deflection, degrees + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional area of Jet, m^2 + m=rho*a*V; //Mass Flow Rate, kg/s + //For condition of Maximum work done, + u=V/3; //Velocity of Vane, m/s + theta=180-AoD; //degrees + //(a)Maximum work done/second + W=rho*a*(V-u)^2*(1+cosd(theta))*u/1000; //kJ/s + //(b)Efficiency of the Jet, + KE=(1/2)*rho*a*V^3; //kinetic energy supplied by jet per second, J + eta=W*1000/KE*100; //In percentage + +//Result:- + printf("(a)Maximum work done/sec=%.3f kJ/s \n", W) //The answer vary due to round off error + printf("(b)Effeciency of the Jet, eta=%.2f percent \n", eta) //The answer vary due to round off error diff --git a/3751/CH2/EX2.14/Ex2_14.sce b/3751/CH2/EX2.14/Ex2_14.sce new file mode 100644 index 000000000..add2f224c --- /dev/null +++ b/3751/CH2/EX2.14/Ex2_14.sce @@ -0,0 +1,27 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.14 + clc + clear +//Given Data:- + Vi=50; //Absolute velocity of Jet at inlet, m/s + u=25; //velocity of vane, m/s + ui=u; + uo=u; + alpha_i=32; //Angle made by Vi at inlet, degrees + alpha_l=90; //Angle made by Vi at outlet, degrees + alpha_o=180-alpha_l; //degrees + +//Computations:- + Vfi=Vi*sind(alpha_i); //m/s + Vwi=Vi*cosd(alpha_i); //m/s + Vwi=Vwi-ui; //m/s + beta_i=atand(Vfi/Vwi); //degrees + Vri=Vfi/sind(beta_i); //m/s + Vro=Vri; + beta_o=acosd(uo/Vro); //degrees + +//Result:- + printf("Vane Angle at Inlet, beta_i=%.2f degrees \n", beta_i) + printf("Vane angle at outlet, beta_o=%.2f degrees \n", beta_o) //The answer vary due to round off error + diff --git a/3751/CH2/EX2.14/Ex2_14_Velocity_Triangles.jpg b/3751/CH2/EX2.14/Ex2_14_Velocity_Triangles.jpg new file mode 100644 index 000000000..ae30c0c1c Binary files /dev/null and b/3751/CH2/EX2.14/Ex2_14_Velocity_Triangles.jpg differ diff --git a/3751/CH2/EX2.15/Ex2_15.sce b/3751/CH2/EX2.15/Ex2_15.sce new file mode 100644 index 000000000..7ecb4ff7b --- /dev/null +++ b/3751/CH2/EX2.15/Ex2_15.sce @@ -0,0 +1,38 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.15 + clc + clear + +//Given Data:- + Vi=20; //Absolute velocity of Jet at Inlet of Vane, m/s + u=10; //Velocity of Vane, m/s + ui=u; + uo=u; + alpha_i=20; //Angle made by Jet at Inlet, degrees + alpha_l=130; //Angle made by Jet at leaving, degrees + alpha_o=180-alpha_l; //degrees + +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + //(a) + Vwi=Vi*cosd(alpha_i); //m/s + Vfi=Vi*sind(alpha_i); //m/s + Vrwi=Vwi-ui; //m/s + beta_i=atand(Vfi/Vrwi); //degrees + Vri=Vfi/sind(beta_i); //m/s + Vro=Vri; + beta_o=alpha_o-asind(uo*sind(180-alpha_o)/Vro); //degrees + Vwo=Vro*cosd(beta_o)-uo; //degrees + //(b) + W=(Vwi+Vwo)*u/g; //N-m/N + +//Results:- + printf("(a)Vane angle at Inlet, beta_i=%.2f degrees \n", beta_i) + printf(" Vane angle at Outlet, beta_o=%.2f degrees \n\n", beta_o) //The answer vary due to round off error + printf("(b)Work done per second per unit weight of water striking the vane per second=%.2f N-m/N", W) //The answer vary due to round off error + + + diff --git a/3751/CH2/EX2.16/Ex2_16.sce b/3751/CH2/EX2.16/Ex2_16.sce new file mode 100644 index 000000000..2c4fe48d9 --- /dev/null +++ b/3751/CH2/EX2.16/Ex2_16.sce @@ -0,0 +1,39 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.16 + clc + clear + +//Given Data:- + Vi=18; //velocity of Jet at Inlet of, m/s + u=6; //Velocity of Vane, m/s + ui=u; + uo=u; + AoD=110; //Angle of deflection of the Jet, degrees + +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + beta_i=(180-AoD)/2; + beta_o=beta_i; + + //(a) + alpha_i=beta_i-asind(ui*sind(180-beta_i)/Vi); //degrees + Vwi=Vi*cosd(alpha_i); //m/s + Vfi=Vi*sind(alpha_i); //m/s + Vri=Vfi/sind(beta_i); //m/s + Vro=Vri; + Vfo=Vro*sind(beta_o); //m/s + Vrwo=Vro*cosd(beta_o); //m/s + Vwo=Vrwo-uo; //m/s + alpha_o=atand(Vfo/Vwo); //degrees + //(b) + alpha_o_dash=180-alpha_o; //degrees + //(c) + W=(Vwi+Vwo)*u/g; //N-m/N +//Results:- + printf("(a)Angle of Jet at Inlet of Vane, alpha_i=%.2f Degrees \n", alpha_i) //The answer vary due to round off error + printf(" Angle at Outlet of Vane, alpha_o=%.2f Degrees \n", alpha_o) //The answer vary due to round off error + printf("(b)Angle made by leaving Jet to the direction of motion of Vane, alpha_o_dash=%.2f Degrees \n", alpha_o_dash) //The answer vary due to round off error + printf("(c)Work done per second per unit weight of water striking the vane per second=%.2f N-m/N", W) //The answer vary due to round off error diff --git a/3751/CH2/EX2.17/Ex2_17.sce b/3751/CH2/EX2.17/Ex2_17.sce new file mode 100644 index 000000000..e42604cde --- /dev/null +++ b/3751/CH2/EX2.17/Ex2_17.sce @@ -0,0 +1,38 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.17 + clc + clear +//Given Data:- + d=60; //Diameter of Jet, mm + Vi=22; //Absolute Velocity of Jet at Inlet, m/s + u=11; //Velocity of vane, m/s + ui=u; + uo=u; + alpha_i=0; //degrees + alpha_l=65; //degrees + alpha_o=180-alpha_l; //degrees + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional area of Jet, m^2 + Vwi=Vi; //m/s + Vri=Vi-ui; //m/s + Vro=Vri; + beta_o=alpha_o-asind(uo*sind(alpha_l)/Vro); //degrees + Vwo=uo-Vro*cosd(beta_o); //m/s + //(a)The Force exerted by Jet on Vane in direction of motion, Fx + Fx=rho*a*Vri*(Vwi-Vwo); //N + //(b)Power developed by vane, + P=Fx*u/1000; //kW + //(c)Efficiency of Vane, + eta=2*Fx*u/(rho*a*Vi^3)*100; //in Percentage + +//Results:- + printf("(a)The Force exerted by Jet on Vane in direction of motion, Fx=%.2f N \n", Fx) //The answer vary due to round off error + printf("(b)Power developed by vane=%.3f kW \n", P) //The answer vary due to round off error + printf("(c)Efficiency of vane, eta=%.2f percent \n", eta) //The answer vary due to round off error diff --git a/3751/CH2/EX2.18/Ex2_18.sce b/3751/CH2/EX2.18/Ex2_18.sce new file mode 100644 index 000000000..4b9f5a90b --- /dev/null +++ b/3751/CH2/EX2.18/Ex2_18.sce @@ -0,0 +1,36 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.18 + clc + clear + +//Given Data:- + Vi=18; //velocity of Jet at Inlet of, m/s + u=6; //Velocity of Vane, m/s + ui=u; + uo=u; + AoD=120; //Angle of deflection of the Jet, degrees + +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + beta_i=(180-AoD)/2; //degrees + beta_o=beta_i; + //(i) + alpha_i=beta_i-asind(ui*sind(180-beta_i)/Vi); //degrees + //(ii) + Vrwi=Vi*cosd(alpha_i)-ui; //m/s + Vfi=Vi*sind(alpha_i); //m/s + Vri=Vfi/sind(beta_i); //m/s + Vro=Vri; + Vfo=Vro*sind(beta_o); //m/s + Vwo=Vro*cosd(beta_o)-uo; //m/s + alpha_o=atand(Vfo/Vwo); //degrees + Vo=Vfo/sind(alpha_o); //m/s + //(iii) + W=(Vi*cosd(alpha_i)+Vwo)*u/g; //N-m/N +//Results(a):- + printf("(i)Angle of Jet at Inlet, alpha_i=%.2f Degrees \n", alpha_i) + printf("(ii)Absolute velocity of Jet at Outlet, Vo=%.2f m/s with angle alpha_o=%.2f Degrees \n", Vo,alpha_o) //The answer vary due to round off error + printf("(iii)Work done per N of Water=%.2f N-m/N", W) //The answer vary due to round off error diff --git a/3751/CH2/EX2.19/Ex2_19.sce b/3751/CH2/EX2.19/Ex2_19.sce new file mode 100644 index 000000000..41ebffe4b --- /dev/null +++ b/3751/CH2/EX2.19/Ex2_19.sce @@ -0,0 +1,58 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.19 + clc + clear + +//Given Data:- + d=40; //Diameter of the Jet, mm + V=24; //Velocity of the Jet, m/s + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional area of Jet, m^2 + //CaseI - Jet strikes normal to a fixed plate + //(a) + Fx=rho*a*V^2; //N + //(b)Work done, W + W=0; //As there is no motion of flat plate + //(c) + eta=0; //Hydraulic efficiency is zero + +//Result I:- + printf("Case I: \n\t") + printf("(a)Force exerted by Jet on the Plate in direction of Jet, Fx=%.2f N \n\t", Fx) //The answer vary due to round off error + printf("(b)Work done by Jet per second=%.2f N \n\t", W) //The answer vary due to round off error + printf("(c)Hydraulic efficiency of the Jet, eta_H=%.2f percent \n\n", eta) //The answer vary due to round off error + //Case II - Jet strikes the moving plate + u=10; //Velocity of moving flat plate, m/s + //(a) + Fx=rho*a*(V-u)^2; //N + //(b) + W=Fx*u; //N-m/s + //(c) + eta=2*W/(rho*a*V^3)*100; //In percentage + //Result II + printf("Case II: \n\t") + printf("(a)Force exerted by Jet on the Plate in direction of Jet, Fx=%.2f N \n\t", Fx) //The answer vary due to round off error + printf("(b)Work done by Jet per second=%.2f N \n\t", W) //The answer vary due to round off error + printf("(c)Hydraulic efficiency of the Jet, eta_H=%.2f percent \n\n", eta) //The answer vary due to round off error + //Case III - Jet strikes a series of flat moving plate + u=10; //velocity of flat plate, m/s + //(a) + Fx=rho*a*V*(V-u); //N + //((b) + W=Fx*u; //N-m/s + //(c) + eta=W*2/(rho*a*V^3)*100; //In percentage + //Result III + + printf("Case III: \n\t") + printf("(a)Force exerted by Jet on the Plate in direction of Jet, Fx=%.3f N \n\t", Fx) //The answer vary due to round off error + printf("(b)Work done by Jet per second=%.2f N \n\t", W) //The answer vary due to round off error + printf("(c)Hydraulic efficiency of the Jet, eta_H=%.2f percent \n\n", eta) //The answer vary due to round off error + + diff --git a/3751/CH2/EX2.2/Ex2_2.sce b/3751/CH2/EX2.2/Ex2_2.sce new file mode 100644 index 000000000..10322f83d --- /dev/null +++ b/3751/CH2/EX2.2/Ex2_2.sce @@ -0,0 +1,28 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.2 + clc + clear + +//Given Data:- + V=25; //Velocity of the Jet, m/s + theta=45; //Inclination of the plate with Jet axis, degrees + a=30; //cross-sectional area of the Jet, cm^2 + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + a=a*10^-4; //m^2 + //(a) Force normal to the plate is the maximum force of Jet on the plate Fn + Fn=rho*a*V^2*sind(theta); //N + //(b) Components of the force Fn, + Fx=Fn*sind(theta); //N + Fy=Fn*cosd(theta); //N + //(c) Ratio in which the discharge gets divided + Q1_by_Q2=(1+cosd(theta))/(1-cosd(theta)); +//Results:- + printf("(a)The Maximum force of the Jet on the plate, Fn=%.2f N \n", Fn) //The answer vary due to round off error + printf("(b)Components of the Normal force, Fn are: \n\t") + printf("Fx=%.2f N , Fy=%.2f N \n", Fx, Fy) //The answer vary due to round off error + printf("(C)The Ratio in which discharge gets divided, Q1/Q2=%.2f \n", Q1_by_Q2) //The answer vary due to round off error diff --git a/3751/CH2/EX2.20/Ex2_20.sce b/3751/CH2/EX2.20/Ex2_20.sce new file mode 100644 index 000000000..9a06903b5 --- /dev/null +++ b/3751/CH2/EX2.20/Ex2_20.sce @@ -0,0 +1,31 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.20 + clc + clear + +//Given Data:- + d=40; //Diameter of the Jet, mm + V=35; //Absolute Velocity of the Jet, m/s + u=18; //Velocity of the curved plate, m/s + AoD=165; //Angle of deflection of the Jet, degrees + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional area of Jet, m^2 + theta=180-AoD; //degrees + //(a) + Fx=rho*a*V*(V-u)*(1+cosd(theta)); //N + //(b)Work done by Jet per second, W + W=Fx*u; //N-m/s + //(c) + eta=W*2/(rho*a*V^3)*100; //In percentage + +//Results:- + printf("(a)Force exerted on the series of curved plates in direction of Jet, Fx=%.2f N \n", Fx) //The answer vary due to round off error + printf("(b)Work done by Jet per second=%.2f N-m/s \n", W) //The answer vary due to round off error + printf("(c)Efficiency of the Jet, eta=%.2f percent", eta) //The answer vary due to round off error diff --git a/3751/CH2/EX2.21/Ex2_21.sce b/3751/CH2/EX2.21/Ex2_21.sce new file mode 100644 index 000000000..b868145d7 --- /dev/null +++ b/3751/CH2/EX2.21/Ex2_21.sce @@ -0,0 +1,39 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.21 + clc + clear +//Given Data:- + Vi=30; //velocity of Jet at Inlet of, m/s + u=15; //Velocity of Vane, m/s + ui=u; + uo=u; + alpha_i=32; //Angle of Jet at Inlet, degrees + alpha=125; //Angle made by Jet at Outlet with direction fo motion of Vanes, degrees + alpha_o=180-alpha; //degrees + +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + rho=1000; //Density of water, kg/m^3 + +//Computations:- + Vwi=Vi*cosd(alpha_i); //m/s + Vfi=Vi*sind(alpha_i); //m/s + Vrwi=Vwi-ui; //m/s + beta_i=atand(Vfi/Vrwi); //degrees + Vri=Vfi/sind(beta_i); //m/s + Vro=Vri; + beta_o=alpha_o-asind(uo*sind(180-alpha_o)/Vro); //degrees + + Vrwo=Vri*cosd(beta_o); //m/s + Vwo=Vrwo-uo; //m/s + + //(a) + W=(Vwi+Vwo)*u/g; //N-m/N (Answer in textbook is wrong due to wrong value of Vwi used) + //(b)Work done by Jet per second, W + eta=2*(Vwi+Vwo)*u/(Vi^2)*100; //In percentage + +//Results:- + printf("(a)Work done per unit weight of water=%.2f N-m/N \n", W) //The answer provided in the textbook is wrong + printf("(b)Efficiency of the vane, eta=%.2f percent", eta) //The answer provided in the textbook is wrong + diff --git a/3751/CH2/EX2.21/Ex2_21_Velocity_Triangles.jpg b/3751/CH2/EX2.21/Ex2_21_Velocity_Triangles.jpg new file mode 100644 index 000000000..f827cd0a8 Binary files /dev/null and b/3751/CH2/EX2.21/Ex2_21_Velocity_Triangles.jpg differ diff --git a/3751/CH2/EX2.22/Ex2_22.sce b/3751/CH2/EX2.22/Ex2_22.sce new file mode 100644 index 000000000..95e334c50 --- /dev/null +++ b/3751/CH2/EX2.22/Ex2_22.sce @@ -0,0 +1,36 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.22 + clc + clear +//Given Data:- + Vi=32; //velocity of Jet at Inlet, m/s + u=16; //Velocity of Vane, m/s + ui=u; + uo=u; + alpha_i=22; //Angle of Jet at Inlet, degrees + K=0.92; //Co-efficient of Vane + +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + Vwi=Vi*cosd(alpha_i); //m/s + Vfi=Vi*sind(alpha_i); //m/s + Vrwi=Vwi-ui; //m/s + //(a) + beta_i=atand(Vfi/Vrwi); //degrees + Vri=Vfi/sind(beta_i); //m/s + Vro=K*Vri; //m/s + beta_o=acosd(uo/Vro); //degrees + //(b) + Vwo=0; //m/s(as alpha_o=90 degrees) + W=(Vwi+Vwo)*u/g; //N-m/N + //(c) + eta=2*Vwi*u/Vi^2*100; //In percentage + +//Results:- + printf("(a)Vane angle at Entrance, beta_i=%.2f degrees \n", beta_i) //The answer vary due to round off error + printf(" Vane angle at exit, beta_o=%.2f degrees \n", beta_o) //The answer vary due to round off error + printf("(b)Work done on vanes per unit weight of water=%.2f N-m/N \n", W) + printf("(c)Efficiency of the system, eta=%.2f percent", eta) //The answer vary due to round off error diff --git a/3751/CH2/EX2.23/Ex2_23.sce b/3751/CH2/EX2.23/Ex2_23.sce new file mode 100644 index 000000000..70d7bee9f --- /dev/null +++ b/3751/CH2/EX2.23/Ex2_23.sce @@ -0,0 +1,47 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.23 + clc + clear +//Given Data:- + Vi=65; //Absolut velocity of Jet at Inlet, m/s + Ri=400; //Inner radius of wheel, mm + Ro=800; //outer radius of wheel, mm + alpha_i=24; //degrees + Vfo=12; //Flow velocity at outlet, m/s + beta_i=40; //blade angle at Inlet, degrees + beta_o=30; //Blade angle at outlet, degrees + +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + Ri=Ri/1000; //m + Di=2*Ri; //m + Ro=Ro/1000; //m + Do=2*Ro; //m + Vfi=Vi*sind(alpha_i); //m/s + Vwi=Vi*cosd(alpha_i); //m/s + Vrwi=Vfi/tand(beta_i); //m/s + //(a) + ui=Vwi-Vrwi; //m/s + N=ui*60/(%pi*Do); //rpm + omega=2*%pi*N/60; //rad/s + uo=%pi*Di*N/60; //m/s + Vro=Vfo/sind(beta_o); //m/s + Vrwo=Vro*cosd(beta_o); //m/s + Vwo=Vrwo-uo; //m/s + //(b) + W=(Vwi*ui+Vwo*uo)/g; //Work done per unit weight of water, N-m/N + //(c) + eta=(Vwi*ui+Vwo*uo)*2/Vi^2*100; //In percentage + +//Results:- + printf("(a)For the speed of wheel: \n\t") + printf("N=%.2f rpm \n\t", N) //The answer vary due to round off error + printf("Angular velocity, omega=%.2f rad/s \n\t", omega) //The answer vary due to round off error + printf("Peripheral velocity of wheel at outlet, uo=%.2f m/s \n\t", uo) + printf("Vwo=%.2f m/s \n\n", Vwo) //The answer vary due to round off error + printf("(b)Work done per unit weight of water=%.2f N-m/N \n", W) //The answer vary due to round off error + printf("(c)Efficiency of the system, eta=%.2f percent", eta) //The answer vary due to round off error + diff --git a/3751/CH2/EX2.24/Ex2_24.sce b/3751/CH2/EX2.24/Ex2_24.sce new file mode 100644 index 000000000..c93728a82 --- /dev/null +++ b/3751/CH2/EX2.24/Ex2_24.sce @@ -0,0 +1,38 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.24 + clc + clear + +//Given Data:- + Do=1.5; //Diameter of rotor at inlet of vane, m + Di=1; //Diameter of rotor at outlet of vane, m + N=400; //Speed of the rotor, rpm + Vi=15; //m/s + alpha_i=12; //Nozzle angle at inlet, degrees + Vo=5; //m/s + VFo=Vo; +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + ui=%pi*Do*N/60; //m/s + uo=%pi*Di*N/60; //m/s + Vfi=Vi*sind(alpha_i); //m/s + Vfo=Vo; //m/s + Vwi=Vi*cosd(alpha_i); //m/s + //(a) + Vrwi=ui-Vwi; //m/s + beta_i=180-atand(Vfi/Vrwi); //Blade angle at inlet, degrees + beta_o=atand(Vfo/uo); //Blade angle at outlet, degrees + //(b) + Vro=uo/cosd(beta_o); //m/s + //(c) + W=Vwi*ui/g; //N-m/N + +//Results:- + printf("(a)Blade angle at entry and exit are: \n\t") + printf("beta_i=%.2f degrees \t beta_o=%.2f degrees \n\n", beta_i,beta_o) //The answer vary due to round off error + printf("(b)Velocity of water relative to Vanes at exit, Vro=%.2f m/s \n", Vro) //The answer vary due to round off error + printf("(c)Work done per second per unit weight of water strikes on Vane per second=%.2f N-m/N", W) //The answer vary due to round off error + diff --git a/3751/CH2/EX2.25/Ex2_25.sce b/3751/CH2/EX2.25/Ex2_25.sce new file mode 100644 index 000000000..58169444a --- /dev/null +++ b/3751/CH2/EX2.25/Ex2_25.sce @@ -0,0 +1,42 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.25 + clc + clear + +//Given Data:- + Vi=32; //Absolute velocity of Jet at inlet, m/s + N=250; //Speed of the wheel, rpm + alpha_i=20; //angle of Jet at inlet, degrees + Vo=6; //Absolute velocity of Jet at outlet, m/s + alpha=132; //Angle made by Jet at outlet with tangent to wheel, degrees + alpha_o=180-alpha; //degrees + Do=1.2; //outer Diameter of wheel, m + Di=0.75; //Inner diameter of wheel, m + +//Data Used:- + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + ui=%pi*Do*N/60; //m/s + uo=%pi*Di*N/60; //m/s + //(a) + Vfi=Vi*sind(alpha_i); //m/s + Vwi=Vi*cosd(alpha_i); //m/s + Vrwi=Vwi-ui; //m/s + Vwo=Vo*cosd(alpha_o); //m/s + Vrwo=uo+Vwo; //m/s + Vfo=Vo*sind(alpha_o); //m/s + beta_i=atand(Vfi/Vrwi); //degrees + beta_o=atand(Vfo/Vrwo); //degrees + //(b) + W=(Vwi*ui+Vwo*uo)/g; //N-m/N + //(c) + eta=2*(Vwi*ui+Vwo*uo)/Vi^2*100; //in percentage + +//Results:- + printf("(a)Vane angle at Inlet, beta_i=%.2f degrees \n", beta_i) //The answer vary due to round off error + printf(" Vane angle at Outlet, beta_o=%.2f degrees \n", beta_o) //The answer vary due to round off error + printf("(b)Work done per second per unit weight of water strikes on vane per second=%.2f N-m/N \n", W) //The answer vary due to round off error + printf("(c)Efficiency of the wheel, eta=%.2f percent",eta) //The answer vary due to round off error + diff --git a/3751/CH2/EX2.26/Ex2_26.sce b/3751/CH2/EX2.26/Ex2_26.sce new file mode 100644 index 000000000..5cc327b8e --- /dev/null +++ b/3751/CH2/EX2.26/Ex2_26.sce @@ -0,0 +1,24 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.26 + clc + clear + +//Given Data:- + H=4; //Head of water in tank, m + d=150; //Diameter of orfice, mm + Cv=0.96; + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + g=9.81; //Acceleration due to gravity, m/s^2 + + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional are of orifice, m^2 + V=Cv*sqrt(2*g*H); //Velocity of Jet, m/s + F=rho*a*V^2; //Force exerted on tank, N + +//Results:- + printf("The force exerted on the tank=%.2f n", F) //The answer vary due to round off error diff --git a/3751/CH2/EX2.27/Ex2_27.sce b/3751/CH2/EX2.27/Ex2_27.sce new file mode 100644 index 000000000..cfe8de27e --- /dev/null +++ b/3751/CH2/EX2.27/Ex2_27.sce @@ -0,0 +1,31 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.27 + clc + clear + +//Given Data:- + H=3.8; //Head of water in tank, m + d=200; //Diameter of orfice, mm + Cv=0.97; + u=2; //Velocity of tank, m/s + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional are of orifice, m^2 + V=Cv*sqrt(2*g*H); //Velocity of Jet, m/s + //(a) + F=rho*a*(V+u)*V; //N + //(b) + W=F*u; //N-m/s + //(c) + eta=2*V*u/(V+u)^2*100; //in Percentage + +//Results:- + printf("(a)Propelling Force on tank, F=%.2f N \n", F) //The answer provided in the textbook is wrong + printf("(b)Work done by propelling force per second=%.2f N-m/s \n", W) //The answer provided in the textbook is wrong + printf("(c)Efficiency of propulsion, eta=%.2f percent", eta) //The answer vary due to round off error diff --git a/3751/CH2/EX2.28/Ex2_28.sce b/3751/CH2/EX2.28/Ex2_28.sce new file mode 100644 index 000000000..63f77a979 --- /dev/null +++ b/3751/CH2/EX2.28/Ex2_28.sce @@ -0,0 +1,28 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.28 + clc + clear + +//Given Data:- + V=20; //Absolute Velocity of Jet of Water, m/s + a=0.02; //Cross-sectional area of Jet, m^2 + u=30; //Speed of boat, km/hr + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + u=u*1000/3600; //m/s + //(a) + Fx=rho*a*(V+u)*V; //N + //(b) + P=Fx*u/1000; //kW + //(c) + eta=2*V*u/(V+u)^2*100; //in Percentage + +//Results:- + printf("(a)Propelling Force on the boat, Fx=%.f N \n", Fx) //The answer vary due to round off error + printf("(b)power required to drive the pump=%.2f kW \n", P) //The answer vary due to round off error + printf("(c)Efficiency of the Jet propulsion, eta=%.2f percent", eta) //The answer vary due to round off error + diff --git a/3751/CH2/EX2.29/Ex2_29.sce b/3751/CH2/EX2.29/Ex2_29.sce new file mode 100644 index 000000000..891bf0407 --- /dev/null +++ b/3751/CH2/EX2.29/Ex2_29.sce @@ -0,0 +1,28 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.29 + clc + clear + +//Given Data:- + V=20; //Absolute Velocity of Jet of Water, m/s + a=0.18; //Cross-sectional area of Jet, m^2 + u=30; //Speed of boat, km/hr + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + u=u*1000/3600; //m/s + //(a) + Fx=rho*a*(V+u)*V/1000; //kN + //(b) + P=Fx*u; //kW + //(c) + eta=2*V*u/(V+u)^2*100; //in Percentage + +//Results:- + printf("(a)Propelling Force on the boat, Fx=%.4f kN \n", Fx) + printf("(b)power required to drive the pump=%.2f kW \n", P) + printf("(c)Efficiency of the Jet propulsion, eta=%.2f percent", eta) + diff --git a/3751/CH2/EX2.3/Ex2_3.sce b/3751/CH2/EX2.3/Ex2_3.sce new file mode 100644 index 000000000..5d6d20b51 --- /dev/null +++ b/3751/CH2/EX2.3/Ex2_3.sce @@ -0,0 +1,21 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.3 + clc + clear +//Given Data:- + d=40; //Diameter of the Jet, mm + V=60; //Velocity of the Jet, m/s + AoD=125; //Angle of Deflection, degrees + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional area of Jet, m^2 + theta=180-AoD; //degrees + Fx=rho*a*V^2*(1+cosd(theta)); //N +//Results:- + printf("The Force exerted by the Jet of water in the direction of Jet, Fx=%.2f N \n",Fx) //The answer provided in the textbook is wrong. + diff --git a/3751/CH2/EX2.30/Ex2_30.sce b/3751/CH2/EX2.30/Ex2_30.sce new file mode 100644 index 000000000..6c9f79839 --- /dev/null +++ b/3751/CH2/EX2.30/Ex2_30.sce @@ -0,0 +1,23 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.30 + clc + clear + +//Given Data:- + V=40; //Absolute Velocity of Jet, m/s + a=0.04; //Cross-sectional area of Jet, m^2 + u=40; //Speed of boat, km/hr + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + u=u*1000/3600; //m/s + F=rho*a*(V+u)*V; //N + eta=2*u/(V+2*u)*100; //in Percentage + +//Results:- + printf("(a)Propelling Force, F=%.f N \n", F) //The answer vary due to round off error + printf("(b)Efficiency of propulsion, eta=%.2f percent", eta) + diff --git a/3751/CH2/EX2.31/Ex2_31.sce b/3751/CH2/EX2.31/Ex2_31.sce new file mode 100644 index 000000000..dc27dab4f --- /dev/null +++ b/3751/CH2/EX2.31/Ex2_31.sce @@ -0,0 +1,30 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.31 +//To Find (i)The volume of water drawn by the pump per second (ii)The Efficiency of Jet propulsion. + clc + clear + +//Given Data:- + F=5890; //Total resistance offered to motion, N + a=424; //Total area of Jet, cm^2 + u=6; //Speed of boat, m/s + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computaions:- + a=a/10000; //m^2 + //For solving Quadratic in V + A=rho*a; + B=rho*a*u; + C=-F; + V=(-B+sqrt(B^2-4*C*A))/(2*A); //m/s + //(i) + Q=a*(V+u); //m^3/s + //(ii) + eta=2*V*u/(V+u)^2*100; //In percentage + +//Results:- + printf("(i)The Volume of water drawn by the pump per second=%.4f m^3/s \n", Q) //The answer vary due to round off error + printf("(ii)The Efficiency of Jet propulsion, eta=%.2f percent", eta) //The answer vary due to round off error diff --git a/3751/CH2/EX2.32/Ex2_32.sce b/3751/CH2/EX2.32/Ex2_32.sce new file mode 100644 index 000000000..be962cb5c --- /dev/null +++ b/3751/CH2/EX2.32/Ex2_32.sce @@ -0,0 +1,24 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.32 + clc + clear + +//Given Data:- + V=18; //Absolute Velocity of the Jet, m/s + a=0.04; //cross-sectional area of Jet, m^2 + u=28; //Speed of the ship, km/hr + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + u=u*1000/3600; //m/s + //(a) + F=rho*V*a*(V+u); //N + //(b) + eta=2*u/(V+2*u)*100; //In percentage + +//Results:- + printf("(a)Propelling Force, F=%.f N \n", F) + printf("(b)The Efficiency of propulsion, eta=%.2f percent \n", eta) //The answer vary due to round off error diff --git a/3751/CH2/EX2.33/Ex2_33.sce b/3751/CH2/EX2.33/Ex2_33.sce new file mode 100644 index 000000000..f231711da --- /dev/null +++ b/3751/CH2/EX2.33/Ex2_33.sce @@ -0,0 +1,33 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.33 + clc + clear + +//Given Data:- + a=0.72; //Total cross-sectional area of Jets, m^2 + Vr=12; //Velocity through the Jet relative to ship, m/s + u=6; //Speed of ship, m/s + eta_E=85/100; //Efficiency of I.C. engine + eta_P=70/100; //Efficiency of Centrifugal Pump + Pipe_Loss_per=8; //Percentage of pipe losses (of the kinetic energy of Jet per sec) + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + Pipe_Loss=(Pipe_Loss_per/100)*(rho*a*Vr^3/2); //Pipe Losses, N-m/s + V=Vr-u; //Absolute Velocity of the Jet, m/s + //(a) + F=rho*V*a*(V+u); //N + //(b) + W=F*u; //Work done by Jet per second, N-m/s + OE_P=rho*a*Vr^3/2+Pipe_Loss; //Output energy of pump per sec, N-m/s + IP_P=OE_P/eta_P; //Input Energy of pump per sec, N-m/s + OE_E=IP_P; //Output of Engine is equal to Input to the pump + IE_E=OE_E/eta_E; //Input Energy of Engine per sec, N-m/s + eta_o=W/IE_E*100; //Overall Efficiency in percentage + +//Results:- + printf("(a)Propelling Force=%.f N \n", F) + printf("(b)Overall Efficiency, eta_o=%.2f percent", eta_o) //The answer vary due to round off error diff --git a/3751/CH2/EX2.34/Ex2_34.sce b/3751/CH2/EX2.34/Ex2_34.sce new file mode 100644 index 000000000..9cd9e0867 --- /dev/null +++ b/3751/CH2/EX2.34/Ex2_34.sce @@ -0,0 +1,30 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.34 + clc + clear + +//Given Data:- + F=100800; //Total resistance offered to motion, N + a=0.8; //Total area of Jet, m^2 + u=5; //Speed of boat, m/s + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + //For solving Quadratic in V + A=rho*a; + B=rho*a*u; + C=-F; + V=(-B+sqrt(B^2-4*C*A))/(2*A); //m/s + //(a) + Q=a*(V+u); //m^3/s + //(b) + eta=2*V*u/(V+u)^2*100; //In percentage + +//Results:- + printf("(a)The Volume of water drawn by the pump per second=%.1f m^3/s \n", Q) + printf("(b)The Efficiency of Jet propulsion, eta=%.2f percent", eta) //The answer vary due to round off error + + diff --git a/3751/CH2/EX2.35/Ex2_35.sce b/3751/CH2/EX2.35/Ex2_35.sce new file mode 100644 index 000000000..bc8783746 --- /dev/null +++ b/3751/CH2/EX2.35/Ex2_35.sce @@ -0,0 +1,38 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.35 + clc + clear + +//Given Data:- + Vr=14; //Relative Velocity of ship, m/s + a=0.025; //cross-sectional area of Jet, m^2 + u=32; //Speed of ship, km/hr + eta_P=80/100; //Efficiency of pump + h_f=2.5; //Frictional Losses, m of water + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + u=u*1000/3600; //m/s + //(i) + //(a) + V=Vr-u; //m/s + F=rho*V*a*(V+u); //N + //(b) + W=F*u; //N-m/s, Value in textbook is wrong due to incorrect value of u ia used. + //(ii) + E=rho*a*Vr*((Vr^2-u^2)/2+g*h_f); //Actual energy supplied to water per second, N-m/s + OE_P=E; //Output fluid energy per second of pump + //(a) + P=OE_P/eta_P; //Power required to drive the pump, W + //(b) + eta_o=W/P*100; //In percentage + +//Results:- + printf("(i) (a)Resistance to the motion of ship, F=%.f N \n", F) //The answer provided in the textbook is wrong + printf(" (b)Propulsive work per second=%.2f N-m/s \n\n", W) //The answer provided in the textbook is wrong + printf("(ii) (a)Power required to drive the pump=%.2f W \n", P) //The answer provided in the textbook is wrong + printf(" (b)Overall Efficiency of propulsion, eta_o=%.2f percent", eta_o) //The answer vary due to round off error diff --git a/3751/CH2/EX2.4/Ex2_4.sce b/3751/CH2/EX2.4/Ex2_4.sce new file mode 100644 index 000000000..a3fb84a20 --- /dev/null +++ b/3751/CH2/EX2.4/Ex2_4.sce @@ -0,0 +1,26 @@ + +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.4 + clc + clear + +//Given Data:- + d=65; //Diameter of the Jet, mm + V=45; //Velocity of the Jet, m/s + theta_i=35; //Entry angle with horizontal, degrees + theta_o=25; //Exit angle with horizontal, degrees + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional area of Jet, m^2 + Fx=rho*a*V^2*(cosd(theta_i)+cosd(theta_o)); //N + Fy=rho*a*V^2*(sind(theta_i)-sind(theta_o)); //N +//Results:- + printf("Force exerted by Jet in horizontal direction, Fx=%.2f N \n", Fx) //The answer provided in the textbook is wrong + printf("Force exerted by Jet in vertial direction, Fy=%.3f N(Fy acts upward) or Fy=-%.3f N(Fy acts downward) \n", Fy, Fy) //The answer vary due to round off error + + diff --git a/3751/CH2/EX2.5/Ex2_5.sce b/3751/CH2/EX2.5/Ex2_5.sce new file mode 100644 index 000000000..ed3294af1 --- /dev/null +++ b/3751/CH2/EX2.5/Ex2_5.sce @@ -0,0 +1,21 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.5 + clc + clear + +//Given Data:- + d=30; //Diameter of the Jet, mm + V=15; //Velocity of the Jet, m/s + W=245.25; //Weight of plate, N + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional area of Jet, m^2 + theta=asind(rho*a*V^2/W); //degrees +//Results:- + printf("The Angle through which the plate will swing, theta=%.2f degrees \n", theta) //The answer vary due to round off error + diff --git a/3751/CH2/EX2.6/Ex2_6.sce b/3751/CH2/EX2.6/Ex2_6.sce new file mode 100644 index 000000000..3c9ad5fcb --- /dev/null +++ b/3751/CH2/EX2.6/Ex2_6.sce @@ -0,0 +1,31 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.6 + clc + clear +//Given Data:- + M=13.5; //Mass of plate, kg + d=16; //Diameter of the Jet, mm + V=20; //Velocity of the Jet, m/s + L=300; //Length of Edge of plate, mm + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + d=d/1000; //m + L=L/1000; //m + W=M*g; //Weight of Plate, N + a=(%pi/4)*d^2; //cross sectional area of Jet, m^2 + //(a) + Fx=rho*a*V^2; //Force exerted by Jet normal to plate, N + //Taking Moment at 'A', + P=Fx*(L/2)/L; //N + //(b) + theta=asind(rho*a*V^2/W); //Angle of Swing, degrees +//Results:- + printf("(a)Horizontal force applied at Lower edge of plate to keep it vertical, P=%.3f N \n", P) //The answer vary due to round off error + printf("(b)Angle of swing, theta=%.2f degrees", theta) //The answer vary due to round off error + + diff --git a/3751/CH2/EX2.7/Ex2_7.sce b/3751/CH2/EX2.7/Ex2_7.sce new file mode 100644 index 000000000..ea35ffc0d --- /dev/null +++ b/3751/CH2/EX2.7/Ex2_7.sce @@ -0,0 +1,35 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.7 + + clc + clear + +//Given Data:- + W=55.50; //Weight of plate, N + V=8; //Velocity of the Jet, m/s + d=22; //Diameter of the Jet, mm + AG=125; //Distance between centre of gravity of plate from hinge, mm + AC=150; //Distance between axis of Jet and hinge, mm + theta=35; //Deflection, degrees + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + d=d/1000; //m + AC=AC/1000; //m + AG=AG/1000; //m + a=(%pi/4)*d^2; //cross sectional area of Jet, m^2 + Fx=rho*a*V^2; //N + //Taking moment about hinge point 'A', + P=Fx*AC/AG; //N + Fn=(W*AG*sind(theta)+P*AG*cosd(theta))/(AC/cosd(theta)); //N + V1=sqrt(Fn/(rho*a*cosd(theta))); //Absolute Velocity of Jet, m/s + velocity_increase=V1-V; //Velocity Increase of the Jet, m/s + +//Results:- + printf("(a)Horizontal force applied at centre of gravity to maintain the plate in vertical position, P=%.3f N \n", P) //The answer vary due to round off error + printf("(b)Increase in velocity of Jet=%.3f m/s", velocity_increase) //The answer vary due to round off error + + diff --git a/3751/CH2/EX2.8/Ex2_8.sce b/3751/CH2/EX2.8/Ex2_8.sce new file mode 100644 index 000000000..557631668 --- /dev/null +++ b/3751/CH2/EX2.8/Ex2_8.sce @@ -0,0 +1,29 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.8 + clc + clear + +//Given Data:- + d=75; //Diameter of the Jet, mm + V=14; //Velocity of the Jet, m/s + u=5; //Velocity of plate, m/s + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross sectional area of Jet, m^2 + F=rho*a*(V-u)^2; //N + W=F*u; //J/s + KE=(1/2)*rho*a*V^3; //N-m/s + eta=W/KE*100; //In percentage + +//Results:- + printf("(a)The Force exerted by the Jet on the plate, F=%.2f N \n", F) //The answer vary due to round off error + printf("(b)Work done by the Jet on the plate per second=%.1f N-m/s or J/s \n", W) //The answer vary due to round off error + printf("(c)Efficiency of Jet, eta=%.2f percent", eta) //The answer vary due to round off error + + + diff --git a/3751/CH2/EX2.9/Ex2_9.sce b/3751/CH2/EX2.9/Ex2_9.sce new file mode 100644 index 000000000..5957ec726 --- /dev/null +++ b/3751/CH2/EX2.9/Ex2_9.sce @@ -0,0 +1,30 @@ +//Fluid system - By - Shiv Kumar +//Chapter 2 - Impact of Jet +//Example 2.9 + clc + clear + +//Given Data:- + d=65; //Diameter of the Jet, mm + V=20; //Velocity of the Jet, m/s + u=8; //Velocity of curved vane, m/s + AoD=160; //Angle of Deflection, degrees + +//Data Used:- + rho=1000; //Density of water, kg/m^3 + +//Computations:- + d=d/1000; //m + a=(%pi/4)*d^2; //cross-sectional area of Jet, m^2 + theta=180-AoD; //degrees + Fx=rho*a*(V-u)^2*(1+cosd(theta)); //N + P=Fx*u/1000; //Power of Jet, KW + KE=(1/2)*rho*a*V^3; //Kinetic energy of Jet per second, N-m/s(W) + eta=P*1000/KE*100; //In percentage + +//Results:- + printf("(a)The Force exerted on plate in direction of Jet, Fx=%.2f N \n", Fx) //The answer vary due to round off error + printf("(b)Power of Jet=%.3f KW \n", P) //The answer vary due to round off error + printf("(c)Efficiency of Jet, eta=%.2f percent", eta) + + -- cgit