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EGM6812_F10_HW8Q

EGM6812_F10_HW8Q - EGM 6812 Fluid Mechanics 1 Fall 2010 8th...

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EGM 6812 Fluid Mechanics 1 - Fall 2010 10/25/10, 8 th Homework 1/3 1. Starting with the Cartesian form of the N-S equation, derive Bernoulli’s equation for incompressible, inviscid, and irrotational flow. Please state all assumptions and show all steps. 2. Starting with the integral form of the energy equation, derive Bernoulli’s equation for a conservative fluid system. Please state all assumptions and show all steps. 3. Consider a static pressure tap drilled into the surface of a wind tunnel model under two different scenarios shown below. In case (a), a burr is formed prior to the hole deflecting the streamlines upward over the hole. In case (b), a burr is formed after the hole. Which situation will result in a measurement error to due a pressure increase and which one will result in a decrease? Explain your answer both mathematically and physically. 4. Consider the inviscid flow of water (assume a constant density ) over the surfaces shown below. For each case, the depth h

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EGM6812_F10_HW8Q - EGM 6812 Fluid Mechanics 1 Fall 2010 8th...

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