From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 530/CH5/EX5.7.iii/example_5_7iii.sce | 67 ++++++++++++++++++++++++++++++++++++ 1 file changed, 67 insertions(+) create mode 100755 530/CH5/EX5.7.iii/example_5_7iii.sce (limited to '530/CH5/EX5.7.iii') diff --git a/530/CH5/EX5.7.iii/example_5_7iii.sce b/530/CH5/EX5.7.iii/example_5_7iii.sce new file mode 100755 index 000000000..c21befb76 --- /dev/null +++ b/530/CH5/EX5.7.iii/example_5_7iii.sce @@ -0,0 +1,67 @@ +clear; +clc; + +// A Textbook on HEAT TRANSFER by S P SUKHATME +// Chapter 5 +// Heat Transfer by Forced Convection + + +// Example 5.7(iii) +// Page 241 +printf("Example 5.7(iii), Page 241 \n \n"); + +D = 0.0125 ; // [m] +ST = 1.5*D ; +SL = 1.5*D ; +V_inf = 2 ; // [m/s] +N = 5; +Tw = 70; // [degree C] +Tmi = 30; // [degree C] +L = 1; // [m] + +rho = 1.165 ; // [kg/m^3] +v = 16.00 *10^-6 ; // [m^2/s] +Cp = 1.005*1000 ; // [J/kg K] +k = 0.0267 ; // [W/m K] +Pr = 0.701; + +// From eqn 5.10.2 +Vmax = ST/(SL-D)*V_inf ; // [m/s] +Re = Vmax*D/v ; + +// From fig 5.15 +f = 0.37/4; +// Also, tube arrangement is square +X = 1; +// From eqn 5.10.6 +delta_P = 4*f*N*X*(rho*Vmax^2)/2 ; // [N/m^2] + +// At 70 degree C +Pr1 = 0.694 ; +// From table 5.4 and 5.5 + +C1 = 0.27; +m = 0.63; +C2 = 0.93; + +// Substituting in Eqn 5.10.5 +Nu = C1*C2*(Re^m)*(Pr^0.36)*(Pr/Pr1)^(1/4); +h = Nu*k/D; // [W/m^2 K] + +// For 1 m long tube +m_dot = rho*(10*1.5*D*1)*2; // [kg/s] + +// Substituting m_dot in 5.3.4 and solving, we get +function[f]=temp(Tmo) + f(1) = h*(%pi*D*L)*50*[(Tw-Tmi)-(Tw-Tmo(1))]/[log((Tw-Tmi)/(Tw-Tmo(1)))]-m_dot*Cp*(Tmo(1)-Tmi) ; + // h*(%pi*D*L)*N*((Tw-Tmi)-(Tw-Tmo))/log[(Tw-Tmi)/(Tw-Tmo)] - m_dot*Cp*(Tmo - Tmi); + funcprot(0); +endfunction + +Tmo = 40; // Initial assumed value for fsolve function +y = fsolve(Tmo,temp); + +// Heat transfer rate q +q = h*(%pi*D*L)*50*((Tw-Tmi)-(Tw-y))/(log((Tw-Tmi)/(Tw-y))); + +printf("(iii) Heat transfer rate per unit length to air = %f W",q); \ No newline at end of file -- cgit