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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

    mfb

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    2016 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.
     
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