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!

Homework Help: Inhomogeneuos heat equation

  1. Jul 27, 2008 #1
    inhomogeneuos heat equation!!!

    1. The problem statement, all variables and given/known data
    ∂θ/∂t= D∇2θ + K, the mensioned equation is the heat equation for a cylindrical rod , and the requaired is to find the ordinary differential equation for θ(r) .where the radius of the rod is R , and K is constant ( correspond to a constant rate pf heat production)

    2. Relevant equations

    3. The attempt at a solution
    i use separation of variables to obtain the required for a homogeneous heat equation , but with the constant the method didn't work out.
    thanks for your time.
  2. jcsd
  3. Jul 27, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    Welcome to PF!

    Hi mumaga! Welcome to PF! :smile:

    (I assume you mean ∂θ/∂t= C∇2θ + K, where C and K are constants, and θ depends only on t and r.)

    See http://en.wikipedia.org/wiki/Heat_equation#Homogeneous_heat_equation :smile:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook