Heat Dissipation from an Annular Fin

Question

Jonathan Bird 2020-5-5

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/523205-heat-dissipation-from-an-annular-fin

回答： Ayush Gupta 2020-6-10

I'm trying to find the rate of heat dissipation from an annular fin as a function of the fin radius. The rate of heat dissipation is found as follows:

q = (2*pi*k*n*w*theta_0*Rb)*((besselk(1,n*Rb)*besseli(1,n*Re)-besseli(1,n*Rb)*besselk(1,n*Re))/(besselk(0,n*Rb)*besseli(1,n*Re)+besseli(0,n*Rb)*besselk(1,n*Re)));

Where Rb and Re are the inner and outer radii respectively. k, n, w, theta_0 and Rb are all known values. How could I work out the rate of heat dissipation as a function of the outer radius Re for say Re = Rb to Re = 100*Rb and plot this?

Many thanks

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Answer 1

Ayush Gupta 2020-6-10

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/523205-heat-dissipation-from-an-annular-fin#answer_449027

在 MATLAB Online 中打开

This equation can be simplified by fixing the known values and the relation between Re and Rb, Refer to the code below:

x = [0:0.5:20]; 
result = [0:0.5:20]; 
for i = 1:length(x) 
    result(i) = cali(x(i)); 
end 
  
plot(x,result) 
  
function out = cali(Rb) 
k = 1; 
n= 1; 
k = 1; 
w = 1; 
thefixedta_0 = 1; 
Re = 100*Rb; 
out = (2*pi*k*n*w*thefixedta_0*Rb)*((besselk(1,n*Rb)*besseli(1,n*Re)-besseli(1,n*Rb)*besselk(1,n*Re))/(besselk(0,n*Rb)*besseli(1,n*Re)+besseli(0,n*Rb)*besselk(1,n*Re))); 
end 