Homework_C2

# Homework_C2 - Reading assignments Chapter 1 1.7(2nd edition...

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Reading assignments Chapter 1: 1.7 (2 nd edition) Chapter 2: 2.1, 2.2, 2.3, 2.4, 2.5. Problem #1: Based on the Cross model, prove that 0 () m K η γ = ± 0 for and ηη ²³ 0 m K =+ ± 0 for: ³ Problem #2: Show the distinct differences in the rheological properties of: - Newtonian fluids - Power law fluids - Bingham plastic fluids Problem #3: The total stress tensor is expressed in a matrix form as x xx yx z yx yy yz zx zy zz τ ττ ⎛⎞ ⎜⎟ = ⎝⎠ τ Consider an incompressible fluid flowing between two parallel horizontal flat plates (see the simple shear flow in the lecture slides), the upper plate moving at a constant velocity u x in the x direction (i.e. one dimensional flow), and the lower plate stationary. Using the generalized Newton’s law of viscosity, express the total stress tensor at a position P(x,y,z) in the fluid in terms of fluid viscosity and velocity gradients. Assume a linear velocity profile. Problem #4: The functional relationship between stress and shear rate of a fluid is experimentally determined. The shear stress is measured over a range of shear rate, as shown in the below table

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Homework_C2 - Reading assignments Chapter 1 1.7(2nd edition...

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