As a means of measuring the viscosity, a liquid is forced to flow through two very large dp parallel plates by applying a pressure gradient, 2. You can assume that the velocity dx between the plates is given by 1 dp y(h-y) u(y) : 2µ dx where u is the fluid viscosity, dp/dx is the pressure gradient and h is the gap between the plates.
Derive an expression for the shear stress acting on the top plate Tw.
Q' is the flow rate per unit width (i.e. has units of m^2/s). Express Q' in terms of Tw.
When the flow rate per unit width is Q'=1.2*(10^-4) m^2/s, the gap between the plates is 5mm, he device estimates the shear stress at the top wall to be -0.05 Pa. Estimate the viscosity of the fluid.
When the tests are repeated for blood ample, different estimates of viscosity are found for different flowrates. What does this tell you about the viscosity of the flow? Use appropriate terminology.
As the pressure gradient is increased, at a certain point the measurements cease to be reliable. Using knowledge of fluid
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