HW31solution - AAE 334, Fall 2011, Homework 31 Solution On...

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AAE 334, Fall 2011, Homework 31 Solution On page 662, Anderson writes, “From Equation (8.33), we have   2 2 2 2 2 2 2 1 2 1 v u a V a a o o 2 2 2 2 1 y x a o (11.13)” Yet Equation (8.33) is from a one-dimensional flow analysis and thus is used improperly in this two-dimensional formulation. Equation (8.33) comes from Equation (8.28) which comes from Equation (7.44). So, begin with Equation (7.44) and find the three-dimensional version of Equation (11.13) legitimately. That is, without relying on the one-dimensional Equation (8.33). Then simplify to the two-dimensional form. Equation 8.28 is valid for three-dimensional flow, as the text states immediately after the equation, “…where V 1 and V 2 are velocities at any two points along a three-dimensional streamline.” The language is a little loose here, one would perhaps be more correct to use
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This note was uploaded on 02/21/2012 for the course AAE 334 taught by Professor Collicott during the Fall '09 term at Purdue University-West Lafayette.

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