hw2 - infinite parallel plates separated by distance h,...

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ME331 Spring 2009 Homework #2 due: 18.3.2009 11:00 1. Propose an exam question to examine students the knowledge on Reynolds Transport Theorem. Most interesing question(s) will receive bonus points. 2. A tank is filled with water as shown below. If tank cross-sectional area is A, velocity of water beam is u, and its area is a; what is the time required to fill the tank to a height of H? a. Solve the question for a control volume, which contains the whole tank. b. Solve the question for a control volume, which contains only the water inside the tank. Compare the results. 3. Water at 20 o C (vapor pressure equals 2.34 kPa (abs)) is siphoned from a large tank. a. Determine the velocity at the outlet of the pipe. b. Calculate the maximum height of the building over which water can be siphoned without cavitation. 4. Consider fully developed two-dimensional Poiseuille flow- flow between two
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Unformatted text preview: infinite parallel plates separated by distance h, with both the top plate and bottom plate stationary, and a forced pressure gradient dP / dx driving the flow as illustrated in the figure below. (note that dP / dx is constant and negative ) The flow is two-dimensional in the x-y plane. The velocity components are given by ( 29 2 1 2 dP u y hy v dx =-= where is the fluids viscosity. u Control Volume for b H Control Volume for a 3m ME331 Spring 2009 Homework #2 due: 18.3.2009 11:00 a) Is this flow rotational or irrotational? If it is rotational, calculate the vorticity component in the z direction. Do fluid particles in this flow rotate clockwise or counterclockwise? b) Calculate the linear strain rates in the x and y direction and calculate the shear strain rate c) Is the flow compressible? d) Is the flow steady?...
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hw2 - infinite parallel plates separated by distance h,...

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