# hw7b - through a cylindrical needle 6 cm long and 0.5 mm in...

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CBE 320 October 12, 2009 Transport Phenomena Problem Session VII Part B: Macroscopic Balances (Isothermal Systems) 1. Calculate a v 2 A / a v A 2 and a v 3 A / a v A 3 for the following two velocity profiles for flow in a circular tube: a. v z ( r ) v z, max = 1 p r R P 2 b. v z ( r ) v z, max = p 1 r R P 1 / 7 2. Work problem 7A.6 in BSL. 3. Work problem 7B.4 in BSL. 4. Work problem 7B.9 in BSL. 5. Work problem 7B.11 in BSL. 6. Intravenous Delivery Design An IVP (IntraVenous Pyelogram) x-ray procedure requires injecting a large volume of a viscous solution through a small radius needle, into the patient. Since this requires an extended period of time, you are asked by your boss (hypothetically) to design a pump delivery system. A maximum flow rate of 60 cm 3 / min is to be delivered at steady state by this system,
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Unformatted text preview: through a cylindrical needle 6 cm long and 0.5 mm in diameter. The cylindrical rubber tubing connecting the pump to the needle is to be 4 mm in diameter. The fluid physical properties are ρ = 10 3 kg/m 3 , μ = 10-2 Pa · s. Isothermal flow may be assumed. a. What is the pressure drop in the needle for the maximum flow rate? b. How long would the rubber tubing need to be to generate the same pressure drop (in the tubing, downstream from the pump)? c. How much work must be done by the pump to pump the fluid through the tubing/needle system for a 60 cm length of tubing? 1...
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