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# HW_4 - Homework Set#4 Due date by 11:00 am Problem#1 An oil...

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Homework Set #4: Due date: 10/19/07, by 11:00 am. Problem #1: An oil tank has diameter 1 m and is filled with oil to a depth of 0.3 m. Its base rests about 0.15 m off the ground. This tank is to be drained through an oil -filled tube (a siphon) which is 1.1 m long and has inner diameter 0.005 m. Oil has density and viscosity about 1,000 kg/m 3 and 0.001 Pa s, respectively. One end of the tube rests at the bottom surface of the tank; the other rests on the ground. 0.15 m 1 m 0.3 m ground tube 1.1 m long and 0.005 m in diameter a) Determine the initial volumetric flow rate Q of oil through the tube. b) For the validity of assumption of laminar flow in a circular tube, Reynolds number, defined by is to be smaller or equal 2100. Is the assumption of laminar flow justified? Briefly justify our answer. Re z D u ρ µ = Problem # 2: A Newtonian fluid fills a long cylindrical tube of radius R held vertically as shown. The tube wall is moving upward with velocity V < 0 (V is less than zero if the tube is moving up and z is defined pointing downward as shown below).

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HW_4 - Homework Set#4 Due date by 11:00 am Problem#1 An oil...

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