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PPMC

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- Thread starter PPMC
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- #1

PPMC

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- #2

mda

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Have you tried looking at the wikipedia entry for heat conduction?

- #3

PPMC

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but the flow of heat isn't linear it will escape from the sides of the cube

- #4

PPMC

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well? how can i solve?

- #5

rewebster

- 843

- 2

There's a lot of unknown variables:

What material is the 'cube' made from?

what is the temperature starting?--how much is applied?

is it in a vacuum?

is the heat applied to a side? (where on the side?) or to a corner of the side?

how big is the cube?

What is the method of applying the heat?

What material is the 'cube' made from?

what is the temperature starting?--how much is applied?

is it in a vacuum?

is the heat applied to a side? (where on the side?) or to a corner of the side?

how big is the cube?

What is the method of applying the heat?

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- #6

PPMC

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- #7

siddharth

Homework Helper

Gold Member

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Since you're building a mathematical model for this,

- What's the differential which governs the temperature of the cube as a function of time and distance?

- What is the boundary condition at each of the faces of the cube? Is the heat influx constant at one face, or is the temperature kept constant?

Check the relevant chapters in your text. It should have what you're looking for.

- What's the differential which governs the temperature of the cube as a function of time and distance?

- What is the boundary condition at each of the faces of the cube? Is the heat influx constant at one face, or is the temperature kept constant?

Check the relevant chapters in your text. It should have what you're looking for.

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- #8

rewebster

- 843

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I just tried heating a cube of butter...

- #9

Dale

Mentor

- 33,667

- 11,239

I agree with siddarth. This is the basic heat conduction differential equation with some specified material properties and boundary conditions. Refer to your textbook on how to set up the problem.

My guess is that the resulting partial differential equation won't have an analytical solution and you will need to use a numerical solver. If you are familiar with MATLAB or mathematica they should be able to meet your needs.

My guess is that the resulting partial differential equation won't have an analytical solution and you will need to use a numerical solver. If you are familiar with MATLAB or mathematica they should be able to meet your needs.

Last edited:

- #10

TVP45

- 1,044

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And, if you can accept an approximate answer, FEA is the easy way to do this.

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