ANSWER
GIVEN THAT
Create the following function and save it by file name, "Temp_g.m"
%-------------------------------- Code begins------------------------
function T_g_new = Temp_g(T_g)
T_inf = 38;
g = 9.81;
v = 1.562*10^(-5);
k_air = 0.0255;
A = 3*4;
Q_dot = -700;
L = 3;
T_f = (T_g+T_inf)/2;
Pr = 0.65+0.1*sin(T_f-100);
T_f = T_f + 273; % Change in Kelvins
beta = 1/T_f;
Ra = abs(g*beta*(T_g-T_inf)*L^3*Pr/v^2);
h = 0.59*k_air*Ra^0.25/L;
% Q_dot = hA(T_g-T_inf)
% Rearrange the equation to calculate T_g
% and name it T_g_new
T_g_new = T_inf + Q_dot/(h*A);
%------------------------Code Ends---------------------------------
Now, use the following recursive code to determine the Temperature, T_g
Use any initial guess value for T_g. I have taken 18 C. You can try with any other value.
% -----------------------Code starts---------------
T_g = 18;
error = 10; % any initial value just to enter while loop.
while error > 0.001
T_g_new = Temp_g(T_g); % Calculate the new T_g value using the
function Temp_g
error = abs(T_g_new-T_g); % Calculate the error
T_g = T_g_new; % Store the new value of T_g for use in next
iteration.
end
T_g % Prints the value of T_g in command window
% ------------------------Code Ends----------------------
The following are two code executions with initial guess values of 18 and 25.
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