Hello all,
I am trying to solve the triple sum of a series attached but don't seem to be able to do that and cannot do so even having looked at previous threads to similar issues.
The formula should give 3D temperature distribution in a brick but that does not really change the task much :)
h,t,K are constants. x,y,z are the coordinates, a,b,c are the dimensions of the brick and m,n,p are the variables to be summed up.
I have tried to solve it with symsum but do not get a value as the result. This might well be that this is a user mistake as I am not familiar with symbolic variables.
x=0.0575;
y=0.0575;
z=0.045;
t=20;
syms m n p;
T_xyz=h*t-(64*h/(Dc*pi^3))*symsum(symsum(symsum((sin((2*m-1)*pi*x/X))*(sin((2*n-1)*pi*y/Y))*(sin((2*p-1)*pi*z/Thick))*(1-exp(-Dc*t*pi^2*(((2*m-1)^2/X^2)+((2*n-1)^2/Y^2)+((2*p-1)^2/Thick^2))))/(pi^2*(((2*m-1)^2/X^2)+((2*n-1)^2/Y^2)+((2*p-1)^2/Thick^2))*(2*m-1)*(2*n-1)*(2*p-1)),p,1,3),n,1,3),m,1,3);
Please note that I am using X instead of 2a, Y instead of 2b, Thick instead of 2c and Dc instead of K but yet again this should not hamper the functionality.
Any help to move forward would be greatly appreciated.
Many thanks in advance, Valentin
