hw_12 - Due: In class, Friday December 14, 2007 (see note...

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Due: In class, Friday December 14, 2007 (see note below) Name For instructor or TA use only: Problem Score Points 1 25 2 25 3 25 4 10 5 15 ME 521 Fall Semester, 2007 Homework Set # 12 Professor J. M. Cimbala NOTE : Must be turned in no later than 5:00 p.m. in Prof. Cimbala’s office. Late homework after 5:00 p.m. on Friday will not be accepted, since this is the last homework set of the semester, and the TA will grade it over the weekend. Solutions will be posted on Friday at 5:00 p.m. Total: 100 1 . (25 pts) Text problem 9.1 (plus additional parts). Note : Kundu says to make the y axis point towards the plane, which would make a left-handed coordinate system. Instead, let x be the flow direction and let y be normal to x , away from the plane (a proper right-handed coordinate system). Use the “real” pressure, not Kundu’s modified pressure (in other words, keep the gravity term explicitly in the problem). Let the pressure just outside the free surface of the fluid be p a where we know that 0 sin aa a i r pp ρ gx θ =+ due to hydrostatic atmospheric pressure. ( 0 a p is the atmospheric pressure at x = 0, y = h , where x = 0 is some arbitrary location in the problem.) For consistency let ρ be the density of the falling fluid, and let air be the density of the air. Do the following parts: ( a ) Generate an expression for the y -component of velocity v .
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hw_12 - Due: In class, Friday December 14, 2007 (see note...

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