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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
commit7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch)
treedbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /1304/CH1
parentb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff)
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-rw-r--r--1304/CH1/EX1.1/1_1.sce15
-rw-r--r--1304/CH1/EX1.2/1_2.sce17
-rw-r--r--1304/CH1/EX1.3/1_3.sce16
-rw-r--r--1304/CH1/EX1.4/1_4.sce15
-rw-r--r--1304/CH1/EX1.5/1_5.sce18
-rw-r--r--1304/CH1/EX1.6/1_6.sce18
-rw-r--r--1304/CH1/EX1.7/1_7.sce18
-rw-r--r--1304/CH1/EX1.8/1_8.sce27
-rw-r--r--1304/CH1/EX1.9/1_9.sce15
9 files changed, 159 insertions, 0 deletions
diff --git a/1304/CH1/EX1.1/1_1.sce b/1304/CH1/EX1.1/1_1.sce
new file mode 100644
index 000000000..3e6f12441
--- /dev/null
+++ b/1304/CH1/EX1.1/1_1.sce
@@ -0,0 +1,15 @@
+clear;
+clc;
+printf("\t\t\tExample Number 1.1\n\n\n");
+// heat transfer through brick wall
+// illustration1.1
+// solution
+
+L = 0.25; // [m]Thickness of brick wall
+dT = 20-10;//[degree celsius] temperature difference
+
+A= 5;//[m^2] surface area of the wall
+//calculating rate of heat flow across the brick wall
+k=0.69;//[W/m degree celcius] thermal conductivity
+q = (k*A*dT)/L;//[W]
+printf("rate of heat flow across the brick wall is %f W",q);
diff --git a/1304/CH1/EX1.2/1_2.sce b/1304/CH1/EX1.2/1_2.sce
new file mode 100644
index 000000000..505a170c6
--- /dev/null
+++ b/1304/CH1/EX1.2/1_2.sce
@@ -0,0 +1,17 @@
+clear;
+clc;
+printf("\t\t\tExample Number 1.2\n\n\n");
+// heat loss through a glass window
+// illustration1.2
+// solution
+
+L = 0.015; // [m]Thickness of glass window
+dT = 20-(-5);//[degree celsius] temperature difference
+
+A= 0.5;//[m^2] surface area of the glass window
+//calculating rate of heat flow across the brick wall
+k=0.78;//[W/m degree celcius] thermal conductivity of the glass window
+q = (k*A*dT)/(1000*L);//[kW] rate of heat loss
+t=2;//[h] time in hours
+H=q*t;//[kW.h] total heat loss in time t
+printf("Total heat loss across the glass window in 2 hours is %f kW.H",H);
diff --git a/1304/CH1/EX1.3/1_3.sce b/1304/CH1/EX1.3/1_3.sce
new file mode 100644
index 000000000..5d4b86773
--- /dev/null
+++ b/1304/CH1/EX1.3/1_3.sce
@@ -0,0 +1,16 @@
+clear;
+clc;
+printf("\t\t\tExample Number 1.3\n\n\n");
+// limiting the heat loss through a fierglass insulating board
+// illustration1.
+// solution
+
+dT = 150;//[degree celsius] temperature drop
+k=0.05;//[W/m degree celcius] thermal conductivity of the board
+q = 100;//[W/m^2] rate of heat loss per unit area
+// heat flux is directly proportional to temperature difference and inversely to thickness
+L = (k*dT)/q; // [m]Thickness of board
+
+
+printf("The thickness of the fibre glass board to limit heat losses to 100W/m^2 should be %f m",L);
+
diff --git a/1304/CH1/EX1.4/1_4.sce b/1304/CH1/EX1.4/1_4.sce
new file mode 100644
index 000000000..9c150f08e
--- /dev/null
+++ b/1304/CH1/EX1.4/1_4.sce
@@ -0,0 +1,15 @@
+clear;
+clc;
+printf("\t\t\tExample Number 1.4\n\n\n");
+// calculating heat flow from plate to the air flowing aboe it
+// solution
+
+Tw =40 ;//[degree celsius] temperature of the plate
+
+Tf =10 ;//[degree celsius] temperature of the air
+hm=30;//[W/m^2 degree celcius] mean heat transfer coefficient
+A = 2;//[m^2]area of the plate
+qm=hm*(Tw-Tf);//[W/m^2] heat flux
+Q=(qm*A)/1000;//[kW] Heat flow
+printf("The heat flow through the area is %f kW",Q);
+
diff --git a/1304/CH1/EX1.5/1_5.sce b/1304/CH1/EX1.5/1_5.sce
new file mode 100644
index 000000000..b4b1ca379
--- /dev/null
+++ b/1304/CH1/EX1.5/1_5.sce
@@ -0,0 +1,18 @@
+clear;
+clc;
+printf("\t\t\tExample Number 1.5\n\n\n");
+// calculating heat flow from tube to the air flowing across it
+// solution
+
+Tw =110 ;//[degree celsius] temperature of the tube
+
+Tf =10 ;//[degree celsius] temperature of the air
+v=5;//[m/s] velocity of air flow
+hm=85;//[W/m^2 degree celcius] mean heat transfer coefficient between tube surface and air for air velocity of 5 m/s across a cylinder
+d=0.01;//[m] outer diameter of the tube
+L=5;
+A= %pi*d*L;//[m^2]total area of the cylinder
+qm=hm*(Tw-Tf);//[W/m^2] heat flux, by Newton's law of cooling
+Q=(qm*A)/1000;//[kW] Heat flow
+printf("The heat flow from the tube to the flowing air is %f kW",Q);
+
diff --git a/1304/CH1/EX1.6/1_6.sce b/1304/CH1/EX1.6/1_6.sce
new file mode 100644
index 000000000..a5959a51a
--- /dev/null
+++ b/1304/CH1/EX1.6/1_6.sce
@@ -0,0 +1,18 @@
+clear;
+clc;
+printf("\t\t\tExample Number 1.6\n\n\n");
+// calculating heat flow from tube to the air flowing across it
+// solution
+
+Q=100;//[W] heat transfer rate from sphere to the surrounding
+d=0.1; //[m] diameter of sphere
+dT=50; //[degree celcius] temeprature difference between sphere and surrounding ambient air
+//heat transfer rate Q is given by Q=hm*A*dT (by Newton's law of cooling)
+//where hm= mean convection heat transfer coefficient
+//A=Surface area of sphere = %pi*d^2
+//Thus
+hm=Q/(dT*%pi*d^(2));//[W/m^2 degree celcius]
+
+
+printf("The convection heat transfer coefficient between the sphere and the ambient air is %f W/m^2 degree celcius",hm);
+
diff --git a/1304/CH1/EX1.7/1_7.sce b/1304/CH1/EX1.7/1_7.sce
new file mode 100644
index 000000000..e403b103b
--- /dev/null
+++ b/1304/CH1/EX1.7/1_7.sce
@@ -0,0 +1,18 @@
+clear;
+clc;
+printf("\t\t\tExample Number 1.7\n\n\n");
+// calculating rate of heat loss from cylinder per unit length
+// solution
+
+Tw =50 ;//[degree celsius] temperature of the cylinder
+
+Tf =25 ;//[degree celsius] temperature of the air
+D=0.02;//[m] diameter of the cylinder
+hm=8;//[W/m^2 degree celcius] mean heat transfer coefficient
+qm=hm*(Tw-Tf);//[W/m^2] heat flux, by Newton's law of cooling
+// Total heat flow rate is qm*A
+//hence heat flow rate per unit length is Q=qm*A/L= qm*%piDL/L = qm*%pi*D
+Q=qm*%pi*D; //[W/m]heat flow rate per unit length
+
+
+printf("The heat flow rate per unit length is %f W/m",Q);
diff --git a/1304/CH1/EX1.8/1_8.sce b/1304/CH1/EX1.8/1_8.sce
new file mode 100644
index 000000000..87c27f42c
--- /dev/null
+++ b/1304/CH1/EX1.8/1_8.sce
@@ -0,0 +1,27 @@
+clear;
+clc;
+printf("\t\t\tExample Number 1.8\n\n\n");
+// calculating minimum heat coefficient at the outer surface to maintain outer surface temperature at 100 degree celcius
+// solution
+
+
+T1 =200 ;//[degree celsius] temperature of the inner surface of the insulation layer
+
+
+Tf =20 ;//[degree celsius] temperature of the air
+k=1.5; //[W/m degree celcius] heat conductivity of insulator
+L=0.05;//[m] insulator thickness
+// Let T2 be the temperature of outer layer of the insulator
+// qconv = heat transfer rate from outer layer to the air
+//qcond = heat transfer rate across the insulator
+// if qconv > qcond, then T2 will decrease
+// if qcond > qconv, then T2 will increase
+// for T2 to not go above 100 degree celcius, qcond should be less than equal to qconv , and equality will be when T2 is equal to 100
+//thus qcond = qconv at T2=100
+// qcond = k*(T1-T2)/L = h*(T2-Tf) = qconv
+//thus
+T2 =100 ;//[degree celsius]maximum permissible temperature of the outer surface
+
+
+h = k*(T1-T2)/(L*(T2-Tf));// [W/m^2 degree celcius] convection heat trasnfer coefficient between insulator's outer surface and air
+printf("The minimum convection heat transfer coefficient required to maintain outer surface tempereature below 100 is %f W/m^2 degreee celcius",h);
diff --git a/1304/CH1/EX1.9/1_9.sce b/1304/CH1/EX1.9/1_9.sce
new file mode 100644
index 000000000..c744e12fd
--- /dev/null
+++ b/1304/CH1/EX1.9/1_9.sce
@@ -0,0 +1,15 @@
+clear;
+clc;
+printf("\t\t\tExample Number 1.9\n\n\n");
+// calculating increasing in emmisive power
+// solution
+
+sigma= 5.6697*10^(-8);// [W/m^2 K^4] Stefan Boltzmann constant
+T1=20+273.15;//[K] initial temperature
+
+T2=100+273.15;//[K] final temperature
+//emmissive power E is given as sigma*T^4
+//hence
+dE = sigma*((T2)^(4)-(T1)^(4));//[W/m^2] difference in emmissive power
+
+printf("The increase in emmissive power of the blackbody after heating is %f W/m^2",dE);