hw8 - = 1 at ) x = 0; = 0 at Y = 0; = 1 as Y . b) Find an...

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Homework #8 Due Thursday, June 3 rd , 2010 1. In class, we showed that the thermal energy equation for a flat plate for Pr ~ < 1 reduces to ) v x "# " ) x + Pr 1/ 2 V y " 2 # " Y 2 = " 2 # " Y 2 , where ) v x = v x /U , V y = v y /(U δ M /L), Θ = ( T T 0 )/ ( T T 0 ), ) x = x/L, and Y = y/ δ T . a) Explain the conditions allowing us to simplify the equation above to "# " ) x = " 2 # " Y 2 , which satisfies boundary conditions
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Unformatted text preview: = 1 at ) x = 0; = 0 at Y = 0; = 1 as Y . b) Find an appropriate similarity variable = Y/g( ) x ) for this problem. Write the appropriate boundary conditions in . c) Transform the PDE using this variable and solve using the boundary conditions....
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This note was uploaded on 06/16/2010 for the course ECH 111 taught by Professor Gohan during the Spring '10 term at UC Davis.

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