# 1. For a pulsating blood flow (μ = 3.25cP and ρ = 1.05g/cm3) in

October 22, 2018

1. For a pulsating blood flow (μ = 3.25cP and ρ = 1.05g/cm3) in a dog aorta of diameter 1.5 cm at 120 cm/sec mean velocity and 4π/sec oscillating frequency. (a) Find Reynolds number, Stokes number and Womersly number. (b) Discuss the relative importance between the transient inertial force, convective inertia force, and viscous force. 2. Consider a type of 2-D incompressible unsteady-flow between two parallel surfaces apart by h, as shown in the figure. The surface y = 0 is held fixed while the surface y = h is oscillating in the x direction with a velocity U = U0cosωt, where ω is the frequency. Assume that the fluid viscosity is μ and density is ρ. Solve the velocity u = u(y, t) from the Navier-Stokes equationsHomework #8 (assigned on 10/27/14; due on 11/3/14)1. For a pulsating blood flow (µ = 3.25cP and ρ = 1.05g/cm3) in a dog aorta of diameter1.5 cm at 120 cm/sec mean velocity and 4π/sec oscillating frequency.(a) Find Reynolds number, Stokes number and Womersly number.(b) Discuss the relative importance between the transient inertial force, convective inertiaforce, and viscous force.2. Consider a type of 2-D incompressibleunsteady-flow between two parallel surfacesapart by h, as shown in the figure. Thesurface y = 0 is held fixed while the surfacey = h is oscillating in the x direction with avelocity U = U0cosωt, where ω is thefrequency. Assume that the fluid viscosity isµ and density is ρ. Solve the velocity u =u(y, t) from the Navier-Stokes equations.

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