PDE is
(1/r)d/dr(rdT/dr) = C*exp(E*(1-(1/T))
Boundary conditions are: At r = 0; dT/dr = 0 and at r = R0 T = Tw
where C, E, and Tw are constants.
Hello.
Analytical solution to your ordinary differential equation can be found under several simplifying assumptions.
Moreover, I assumed, that constants E and Tw are positive real numbers. Constant C is nonzero real number.
Please, check the file in the attachment. Hopefully you will be able to read it, I tried to write as neatly as possible :-).
Anyways - I am pretty sure that your equation is physically incorrect. Please check the righthand side term. It leads to unsolvable dimensional problem with physical units.
Bye, JS
hello Siddiqui
if you are still looking for the solution, you can try using the series expansion of the exponential function and then truncating the higher-order terms, depending on the physical significance and numerical values of the terms.
Best Wishes
Hello Tasleem,
I got this equation solved using the series expansion of the exponential term as you mentioned.
Thank you...
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