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Homework Help: Couette Flow profiles

  1. Dec 14, 2013 #1
    The scenario is as follows.

    Plate (1) is adiabatic
    Plate (2) is iso-thermal
    Plate (3) has no info.
    Fluid is driven between the plates (1)/(3) by the motion of (1)

    In such case can i say the following ??? :

    -The environment above plate (1) is separate thermally from the fluid flow due to the presence of an adiabatic plate.
    -Since the plate is adiabatic, the driving force dT/dy is zero at that location.
    -The plate (2) is iso-thermal, therefore we can conlude that with an infinitely long plate the temperature at plate (3) is uniform.

    Due to these points, we conclude the following,

    [tex] \frac{\partial T}{\partial y}_{~plate ~ (1)} = 0 [/tex]
    [tex] \frac{\partial T}{\partial x} = 0 [/tex]
    [tex] \frac{\partial T}{\partial x} = 0 [/tex]
    [tex] T(plate(3)) = T_{plate(3)} [/tex]

    Steady working conditions is assumed.

    Attached Files:

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  2. jcsd
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