Question

Problem 1 Fluid flows between two parallel plates under the effect of a pressure gradient and the upper plate sliding with respect to the lower one (see figure below). Depending on the relative importance of the two driving forces, the velocity profile will look like one of the options shown. • Assuming steady, incompressible, fully developed flow, calculate the velocity profile. Determine what is the criteria for the slope of the velocity profile being positive/negative/zero. • To complement the calculations and analysis you conducted with the differential form of the conservation equations above, and taking advantage of knowing the velocity and temperature profiles, use an integral formulation of conservation of momentum and energy, to determine what are the forces on the lower and upper plates and the work done by those forces.

          Problem 1
Fluid flows between two parallel plates under the effect of a pressure gradient and
the upper plate sliding with respect to the lower one (see figure below). Depending
on the relative importance of the two driving forces, the velocity profile will look like
one of the options shown.
• Assuming steady, incompressible, fully developed flow, calculate the velocity
profile. Determine what is the criteria for the slope of the velocity profile being
positive/negative/zero.
• To complement the calculations and analysis you conducted with the differential
form of the conservation equations above, and taking advantage of knowing the
velocity and temperature profiles, use an integral formulation of conservation
of momentum and energy, to determine what are the forces on the lower and
upper plates and the work done by those forces.

Added by Amy C.

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