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4 - BENG 112B Homework#4 BIOMECHANICS S 2009 Not to be...

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BENG 112B BIOMECHANICS S 2009 Homework #4 Not to be collected for a grade Review Problems: Navier-Stokes, Pipe Flow, etc. 1. Blood is flowing through a small capillary shown below. As with most capillaries, the radius of this capillary gets smaller as a function of position down the vessel as it reaches the other side of the capillary bed. The fluid in this vessel has a Reynold’s number that is small, it is incompressible, and the flow is laminar. Determine the mass flow rate (Q dot) if we treat blood as a fluid with constant viscosity μ and density ρ . 2. What is v z in a straight cylindrical pipe obeying the Navier-Stokes equation? 3. You work for a stent manufacturer who needs to know the flow rate where the stent is placed to help calculate how a drug elutes from the material. You’re told the stent is going into the left anterior descending artery, which has a roughly constant radius of 1.2mm, is 10cm in length, has a low Reynold’s number.
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