Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I Thermal Resistance to Centerline

  1. Dec 30, 2017 #1
    Hello,

    Given an infinitely long cylinder with a specified surface heat flux,

    the thermal resistance of an annular region is given by,

    R_th = ln(r_out / r_in) / (2 pi L k).

    When I'm calculating the thermal resistance to the centerline, r_in = 0.

    Does that mean there is infinite thermal resistance?
     
  2. jcsd
  3. Dec 30, 2017 #2

    mfb

    User Avatar
    2017 Award

    Staff: Mentor

    “Yes”. A finite heat flow to a single line is unphysical.
     
  4. Dec 30, 2017 #3
    The resistance is infinite and, to have a finite rate of radial heat flow, you would need to have an ideal line heat source at r=0, featuring an infinite temperature gradient at r=0 and an infinite temperature.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted