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Solve 1-D partial differential equation of heat transfer:

TT_11056782
6-Contributor

Solve 1-D partial differential equation of heat transfer:

TT_11056782_0-1715948210294.png

 

If boundary conditions are:

  • TT_11056782_1-1715948210294.png

     

     on the left bound
  • TT_11056782_2-1715948210295.png

     

    ; on the right bound
  • TT_11056782_3-1715948210295.png

     

    ;

Initial condition is T(x,0)=300K

Obtain temperature distribution on each moment of time and each  point of the dimension space(t0=0, tf=150 sec).

2 REPLIES 2

This simple form of the heat conduction equation is usually solved using the product approach T(t,x) = u(tau)*v(x). This results in an ordinary differential equations for u(tau) and v(x). These are easy to solve.

Hi @TT_11056782,

 

I wanted to follow up with you on your post to see if your question has been answered. 
If so, please mark the appropriate reply as the Accepted Solution. 
Of course, if you have more to share on your issue, please let the Community know so that we can continue to help you. 

 

Thanks,
Anurag

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