The blood based on the shear rate and taking into

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of the blood based on the shear rate and taking into account the hematocrit, H t , given as μ = μ p 1 - 1 2 - k 0 + k p ˙ γ/γ c 1 + p ˙ γ/γ c H t ! - 2 , (4) μ p = 1 . 2 × 10 - 3 Pa.s is plasma viscosity (Newtonian), k = 2 . 07, k 0 = 4 . 33, γ c = 1 . 88 s - 1 , and H t is the ratio of the volume of red blood cells to the total volume of blood, a constant value. 2. Try to approve the 2nd law of thermodynamics for blood flow. Question #2: Flow between parallel porous plates with bottom injec- tion and top suction Assume a flow between two porous plates, y = + h and y = - h , driven by an oscillating pressure gradient ∂p/∂x = Δ p 0 + sin( ωt ) with Δ p 0 and ω being constant coefficients. Assume a uniform vertical flow, i.e. constant vertical velocity v = v w , is generated such that flow is injected from bottom and sucked from top plane. 1. Derive velocity and pressure profiles. 2. Study the limit case when h → ∞ and discuss how velocity and pressure profiles would become. 3. Discuss what happens at very small Reynolds numbers, Re = ρv w h/μ . You may need to use Taylor expansion of some terms which are a function of Re . 1

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