Solving heat equation for heat-pulse in a point on the surface


by Jbari
Tags: heat equation, pde, semi-infinite solid
Chestermiller
Chestermiller is online now
#19
Feb28-13, 08:52 AM
Sci Advisor
HW Helper
Thanks
PF Gold
P: 4,446
Quote Quote by Jbari View Post
You are correct, I ment κ to be thermal diffusivity (= K/(ρ*Cp)) but I defined it incorrectly in my explanation as thermal conductivity..

And to return to the problem: the thermal diffusivities are NOT equal, but I would still like to find an analytical solution (if possible of course). Any suggestions on how/where to find it (maybe in literature, but my search has been fruitless untill now).
Try "Conduction of Heat in Solids" [H. S. Carslaw, J. C. Jaeger] . Another possibility is to solve it yourself. Of course, there won't be a nice similarity solution like the one you have given.
rollingstein
rollingstein is offline
#20
Feb28-13, 12:44 PM
P: 305
Quote Quote by Chestermiller View Post
Try "Conduction of Heat in Solids" [H. S. Carslaw, J. C. Jaeger] . Another possibility is to solve it yourself. Of course, there won't be a nice similarity solution like the one you have given.
+1 for that book. If it is documented anywhere it is in there.

I'll add a possibility of trying to take help from one of the Symbolic solvers like Maxima / Mathematica etc. after you frame the problem.


Register to reply

Related Discussions
Solving the 3-d heat equation Differential Equations 0
Solving the heat equation Calculus & Beyond Homework 0
Solving the Heat Equation Calculus & Beyond Homework 1
help solving the heat equation!!! Differential Equations 0
Heat equation in a sphere surface Differential Equations 3