DYMAMICS OF FLUID FLOW

This expression clearly shows that the flow rate is proportional

  • directly to pressure gradient

  • directly with cube of gap width

  • inversely to the viscosity
 

In terms of mean velocity , where , Eq. (25) becomes,
                                             (26)
Referring to Eq. (23), the maximum velocity occurs midway between the plate, i.e. at , so that
                              (27)
It may be noted that the flow remains laminar if the Reynolds number remains below 1400. For higher Reynolds number flow, the above analysis will no longer be valid because the flow field becomes complex, three-dimensional and unsteady.

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