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| author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
|---|---|---|
| committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
| commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
| tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3751/CH2 | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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initial commit / add all books
Diffstat (limited to '3751/CH2')
37 files changed, 1128 insertions, 0 deletions
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 Binary files differnew file mode 100644 index 000000000..ae30c0c1c --- /dev/null +++ b/3751/CH2/EX2.14/Ex2_14_Velocity_Triangles.jpg 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 Binary files differnew file mode 100644 index 000000000..f827cd0a8 --- /dev/null +++ b/3751/CH2/EX2.21/Ex2_21_Velocity_Triangles.jpg 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)
+
+
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