diff options
Diffstat (limited to '534/CH4')
-rw-r--r-- | 534/CH4/EX4.1/4_1_Eccentric_Wire.sce | 21 | ||||
-rw-r--r-- | 534/CH4/EX4.2/4_2_Theoretical_Problem.sce | 8 | ||||
-rw-r--r-- | 534/CH4/EX4.3/4_3_Column_Matrix.sce | 33 | ||||
-rw-r--r-- | 534/CH4/EX4.4/4_4_Turbine_Matrix.sce | 73 |
4 files changed, 135 insertions, 0 deletions
diff --git a/534/CH4/EX4.1/4_1_Eccentric_Wire.sce b/534/CH4/EX4.1/4_1_Eccentric_Wire.sce new file mode 100644 index 000000000..97ff4e5de --- /dev/null +++ b/534/CH4/EX4.1/4_1_Eccentric_Wire.sce @@ -0,0 +1,21 @@ +clear;
+clc;
+printf('FUNDAMENTALS OF HEAT AND MASS TRANSFER \n Incropera / Dewitt / Bergman / Lavine \n EXAMPLE 4.1 Page 211 \n'); //Example 4.1
+// Thermal resistance of wire coating associated with peripheral variations in coating thickness
+
+d = .005; //[m] Diameter of wire
+k = .35; //[W/m.K] Thermal Conductivity
+h = 15; //[W/m^2.K] Total coeff with Convection n Radiation
+
+rcr = k/h; // [m] critical insulation radius
+tcr = rcr - d/2; // [m] critical insulation Thickness
+
+Rtcond = 2.302*log10(rcr/(d/2))/(2*%pi*k); //[K/W] Thermal resistance
+
+//Using Table 4.1 Case 7
+z = .5*tcr;
+D=2*rcr;
+Rtcond2D = (acosh((D^2 + d^2 - 4*z^2)/(2*D*d)))/(2*%pi*k);
+
+printf("\n\n The reduction in thermal resistance of the insulation is %.2f K/W ", Rtcond-Rtcond2D);
+//END
\ No newline at end of file diff --git a/534/CH4/EX4.2/4_2_Theoretical_Problem.sce b/534/CH4/EX4.2/4_2_Theoretical_Problem.sce new file mode 100644 index 000000000..21ba9886b --- /dev/null +++ b/534/CH4/EX4.2/4_2_Theoretical_Problem.sce @@ -0,0 +1,8 @@ +clear;
+clc;
+printf('FUNDAMENTALS OF HEAT AND MASS TRANSFER \n Incropera / Dewitt / Bergman / Lavine \n EXAMPLE 4.2 Page 218 \n')// Example 4.2
+//Theoretical Problem
+
+printf('\n The given example is theoretical and does not involve any numerical computation')
+
+//End
diff --git a/534/CH4/EX4.3/4_3_Column_Matrix.sce b/534/CH4/EX4.3/4_3_Column_Matrix.sce new file mode 100644 index 000000000..064caa7f9 --- /dev/null +++ b/534/CH4/EX4.3/4_3_Column_Matrix.sce @@ -0,0 +1,33 @@ +clear;
+clc;
+printf('FUNDAMENTALS OF HEAT AND MASS TRANSFER \n Incropera / Dewitt / Bergman / Lavine \n EXAMPLE 4.3 Page 224 \n'); //Example 4.2
+// Temperature Distribution and Heat rate per unit length
+
+Ts = 500; //[K] Temp of surface
+Tsurr = 300; //[K] Temp of surrounding Air
+h = 10; //[W/m^2.K] Heat Convection soefficient
+//Support Column
+delx = .25; //[m]
+dely = .25; //[m]
+k = 1; //[W/m.K] From Table A.3, Fireclay Brick at T = 478K
+
+//Applying Eqn 4.42 and 4.48
+A = [-4 1 1 0 0 0 0 0;
+ 2 -4 0 1 0 0 0 0;
+ 1 0 -4 1 1 0 0 0;
+ 0 1 2 -4 0 1 0 0;
+ 0 0 1 0 -4 1 1 0;
+ 0 0 0 1 2 -4 0 1;
+ 0 0 0 0 2 0 -9 1;
+ 0 0 0 0 0 2 2 -9 ];
+
+C = [-1000; -500; -500; 0; -500; 0; -2000; -1500 ];
+
+T = inv(A)*C;
+
+printf("\n Temp Distribution = ");
+printf("\n %.2f K ", T);
+
+q = 2*h*[(delx/2)*(Ts-Tsurr)+delx*(T(7)-Tsurr)+delx*(T(8)-Tsurr)/2];
+printf("\n\n Heat rate from column to the airstream %.1f W/m ", q);
+//END
\ No newline at end of file diff --git a/534/CH4/EX4.4/4_4_Turbine_Matrix.sce b/534/CH4/EX4.4/4_4_Turbine_Matrix.sce new file mode 100644 index 000000000..490bed5e7 --- /dev/null +++ b/534/CH4/EX4.4/4_4_Turbine_Matrix.sce @@ -0,0 +1,73 @@ +clear;
+clc;
+printf('FUNDAMENTALS OF HEAT AND MASS TRANSFER \n Incropera / Dewitt / Bergman / Lavine \n EXAMPLE 4.4 Page 230 \n'); //Example 4.4
+// Temperature Field and Rate of Heat Transfer
+
+//Operating Conditions
+
+ho = 1000; //[W/m^2.K] Heat Convection coefficient
+hi = 200; //[W/m^2.K] Heat Convection coefficient
+Ti = 400; //[K] Temp of Air
+Tg = 1700; //[K] Temp of Gas
+h = 10 ; //[W/m^2.K] Heat Convection coefficient
+
+A = 2*6*10^-6 ; //[m^2] Cross section of each Channel
+x = .004 ; //[m] Spacing between joints
+t = .006; //[m] Thickness
+k = 25; //[W/m.K] Thermal Conductivity of Blade
+delx = .001 ; //[m]
+dely = .001 ; //[m]
+
+//Applying Eqn 4.42 and 4.48
+A = [-(2+ho*delx/k) 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
+ 1 -2*(2+ho*delx/k) 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0;
+ 0 1 -2*(2+ho*delx/k) 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0;
+ 0 0 1 -2*(2+ho*delx/k) 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0;
+ 0 0 0 1 -2*(2+ho*delx/k) 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0;
+ 0 0 0 0 1 -(2+ho*delx/k) 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0;
+ 1 0 0 0 0 0 -4 2 0 0 0 0 1 0 0 0 0 0 0 0 0;
+ 0 1 0 0 0 0 1 -4 1 0 0 0 0 1 0 0 0 0 0 0 0;
+ 0 0 1 0 0 0 0 1 -4 1 0 0 0 0 1 0 0 0 0 0 0;
+ 0 0 0 1 0 0 0 0 1 -4 1 0 0 0 0 1 0 0 0 0 0;
+ 0 0 0 0 1 0 0 0 0 1 -4 1 0 0 0 0 1 0 0 0 0;
+ 0 0 0 0 0 1 0 0 0 0 2 -4 0 0 0 0 0 1 0 0 0;
+ 0 0 0 0 0 0 1 0 0 0 0 0 -4 2 0 0 0 0 1 0 0;
+ 0 0 0 0 0 0 0 1 0 0 0 0 1 -4 1 0 0 0 0 1 0;
+ 0 0 0 0 0 0 0 0 2 0 0 0 0 2 -2*(3+hi*delx/k) 1 0 0 0 0 1;
+ 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 -2*(2+hi*delx/k) 1 0 0 0 0;
+ 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 -2*(2+hi*delx/k) 1 0 0 0;
+ 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 -(2+hi*delx/k) 0 0 0;
+ 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -2 1 0;
+ 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 -4 1;
+ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 -(2+hi*delx/k)];
+
+C = [-ho*delx*Tg/k;
+ -2*ho*delx*Tg/k;
+ -2*ho*delx*Tg/k;
+ -2*ho*delx*Tg/k;
+ -2*ho*delx*Tg/k;
+ -ho*delx*Tg/k;
+ 0;
+ 0;
+ 0;
+ 0;
+ 0;
+ 0;
+ 0;
+ 0;
+ -2*hi*delx*Ti/k;
+ -2*hi*delx*Ti/k;
+ -2*hi*delx*Ti/k;
+ -hi*delx*Ti/k;
+ 0;
+ 0;
+ -hi*delx*Ti/k];
+
+T = inv(A)*C;
+
+printf("\n Temp Distribution = ");
+printf("\n %.1f K ", T);
+
+q = 4*ho*[(delx/2)*(Tg-T(1))+delx*(Tg-T(2))+delx*(Tg-T(3))+ delx*(Tg-T(4))+delx*(Tg-T(5))+delx*(Tg-T(6))/2];
+printf("\n\n Heat rate Transfer %.1f W/m ", q);
+//END
\ No newline at end of file |