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T
TT_110567826-Contributor
6-Contributor
May 17, 2024
Question

Solve 1-D partial differential equation of heat transfer:

  • May 17, 2024
  • 2 replies
  • 1132 views

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

A
AlfredFlaßhaar15-Moonstone
15-Moonstone
May 17, 2024

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.

A
anursinghCommunity Manager
Community Moderator
May 28, 2024

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. 
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Thanks,
Anurag

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