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Thermal gradient in copper

  1. Jan 11, 2012 #1
    Hi,

    Suppose a copper block is heated on one side so that one end is at 800K. Given the dimensions of the copper block, is there a way of calculating the temperature of a point in the block distance x from the heated end after a given time?

    With many thanks,

    Froskoy.
     
  2. jcsd
  3. Jan 11, 2012 #2

    Andy Resnick

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    This is a standard problem exhaustively treated in, for example, Mikhailov and Ozisik's "Unified analysis and solutions of heat and mass diffusion".
     
  4. Jan 11, 2012 #3
    If it can be assumed that there are no heat losses from the sides of the block then the equation for rate of heat flow is:
    ΔQ/Δt = k A Δθ/Δx Δθ/Δx is the temperature gradient
     
  5. Jan 15, 2012 #4
    Thanks! Your replies were really useful.
     
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