how to determine temp. distribution in maple

Hi All,

Would anybody be able to explain to me how to find the steady state temperature distribution in maple using the finite difference method?

 

Any help wouild be greatly appreciated.

 

Cheers

 

Joel

JacquesC's picture

Rather non-trivial task

AFAIK, there is no pre-packaged finite-difference method in Maple, or at least nothing that advertizes itself as such.  But why do you insist on that particular method?

If you were to post your exact problem (the equations that define the problem), people here might be able to help.  As it stands, you are asking for too much.

Cheers for the reply and I

Cheers for the reply and I realise now what I was asking was a bit 'broad' so to speak.

Its a rather long question, however it revolves around the heat equation and thus newtons law of cooling. I'll try and explain. If you can't help, nevermind.

Problem:

Cylinder, 150mm high, with diameter = 50mm. Ambient temperature = 30 degrees celcius. h = 10 and k = 80 (heat transfer coefficient and thermal conductivity). Cylinder is atop a stove set to 220 degrees C. Determine the temperature of the top of the cylinder at steady state? We are told we must asnwer using finite difference method.

I know this is a big task, but if you could offer any help that would be great.

Cheers

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