• Heat transfer

    

    

  • The temperature distribution on a cylinder wall

The temperature distribution inside a thick-wall cylinder is solved with its inner radius of 1m and its outer radius of 2m. The temperatures on the inner and outer walls are  and , respectively. The coefficient of thermal conductivity of the cylinder is 0.158  .

The heat conduction equation in polar coordinates is solved

             

with its boundary conditions:

             

Comparison between the solutions by use of FEM and analytical method:

            

        

    

 

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