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!

Solution to the heat equation from a source

  1. Mar 2, 2015 #1
    What is the best solution of the heat equation that described a transmission of heat from a source kept at certain temperature to a reservoir with an initial constant temperature (lower than the source) where its ends are not insulated from the surroundings and the surrounding is kept at a fixed temperature. For example, heating one end of a metallic rod while the other end is not insulated but exposed to the room of a constant temperature. What if the room temperature is allowed to rise like in case of a heater?
  2. jcsd
  3. Mar 6, 2015 #2


    User Avatar
    2017 Award

    Staff: Mentor

    Write down a differential equation for the heat flow in your setup, solve it.
    Heat transfer to air can be complicated due to convection.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook