Often in liquid lubrication applications, there is a heat generated that is transferred across the lubricating layer. Consider a Couette flow with one wall at a higher temperature than the other. The temperature gradient across the flow affects the fluid viscosity according to the relationship where μ₀ is the viscosity at y = 0 and L is the distance between the walls. Incorporate this expression into the Couette flow equation, and integrate and express the shear stress in the form

where C is a constant and U is the velocity of the moving wall. Analyze your answer. Should the shear stress be greater or less than that with uniform viscosity?

Transcribed Image Text:

Upo T = C-