Transport_19-20_Homework3 - HOMEWORK 3 Problem 3.1 We saw in Lecture 3 that the buoyant force on an immersed object of volume V in a liquid of

Transport_19-20_Homework3 - HOMEWORK 3 Problem 3.1 We...

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HOMEWORK 3 Problem 3.1 We saw in Lecture 3 that the buoyant force on an immersed object of volume V in a liquid of density was given by Fb= −𝜌𝒈𝑉, where gis the Earth’s local gravitational field (in m/s2). Under what conditions will the object: ρ Problem 3.2 Flow through a stenosis (preview to what we will see this week). A stenosis is a narrowing of a blood vessel or valve. Stenosis of a blood vessel arises during artherosclerosis and could occlude an artery, depriving the tissue downstream of oxygen. Further, the fluid shear stresses acting on the endothelial cells lining blood vessels may affect the expression of genes that regulate endothelial cell function. Such gene expression can influence whether the stenosis grows or not.Consider a symmetric stenosis shown in the Figure. Assume that the velocity profile within the stenosis radius
:

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