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(Solved): As shown in the following figure, the velocity profile( )u y between two parallelplates in the prese ...
As shown in the following figure, the velocity profile( )u y between two parallel
plates in the presence of a pressure gradient is given by:2 0.5u Ay y= +
,
whereA is a constant independent ofy which is the coordinate perpendicular to
the plates.
(1) What is the dimension ofA in terms of the primary dimensions, ,M L T ;
(2) If the lower plate is stationary and the upper plate moves with a velocity of1 /m s
, find the numerical values forA using the no-slip condition on the plates;
(3) If the viscosity is3 2
0.897 *10 /N s m, what are the shear stresses on the
lower and upper plates (you must attach the units for the shear stresses).
Problem 3: Newton's law of viscosity As shown in the following figure, the velocity profile between two parallel plates in the presence of a pressure gradient is given by: where is a constant independent of which is the coordinate perpendicular to the plates. (1) What is the dimension of in terms of the primary dimensions ;
(2) If the lower plate is stationary and the upper plate moves with a velocity of , find the numerical values for using the no-slip condition on the plates; (3) If the viscosity is , what are the shear stresses on the lower and upper plates (you must attach the units for the shear stresses).