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Differentiate a thermo equation

  1. Oct 17, 2011 #1
    1. The problem statement, all variables and given/known data
    Air at 300K(=T_s) flows over a flat plate maintained at 400K(=T_f). At a particular location on the plate, the temperature distribution in the air measure from the plate surface is given by
    T(y)=(T_s-T_f)exp[-22,000*y(m)]+T_f

    Q.Determine the conduction heat flux through the air at the plate surface where the no-slip condition applies.

    2. Relevant equations
    flux=-k*dT(y)/dy


    3. The attempt at a solution
    The value of k can be looked up from a table in my book, my instinct is the differentiate the t(y) equation but i am lost when it comes to taking its derivative. Which makes me wonder if we actually need the derivative or there is an easier approach. Any help is appreciated, thanks.
     
  2. jcsd
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