1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

1D Heat equation, numerical solution with ONLY one heat source

  1. Aug 25, 2010 #1
    Hi,

    I have the following problem.
    I am tried to numerically solve the 1D heat equation for a metal bar of length L.

    Using the forward time, centered space equation

    a(t+1) = a(t)+(alpha*deltaA/(deltaX)^2)*(a(x+1,t)-2*a(x,t)+a(x-1,t))

    The problem is that I only have ONE heat source at one end of the bar(0), there is nothing at the end of the bar. How do I calculate a(t+1) at L-deltaX? (end of the bar). The above equation is dependent on a(x+1,t), how do I calculate a(t+1,L-deltaX)?

    Thanks.
     
  2. jcsd
  3. Aug 25, 2010 #2

    Mapes

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Hi gifuboy, welcome to PF. You need another boundary condition at the end of the bar (e.g., a certain temperature, a certain convection coefficient, a certain heat flux, etc.).
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: 1D Heat equation, numerical solution with ONLY one heat source
  1. Heat Equation Question (Replies: 10)

Loading...