we considered two different mechanisms for flow of an incompressible Newtonian fluid (INF) between two horizontal...

 

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we considered two different mechanisms for flow of an incompressible Newtonian fluid (INF) between two horizontal parallel plates separated by distance a with the origin of the coordinate field at the midpoint between the plates: the first was pressure driven flow; the second was drag flow. Now we want you to analyze the situation shown in the figure below where both pressure driven flow (since Po> PL) and drag flow (since the top plate has velocity +U in the x-direction) are occurring simultaneously. 111111 x=0 Po > PL a x=L Top plate has velocity U Bottom plate is stationary a. Simplify the Navier-Stokes equations (in rectangular coordinates) according to the conditions listed below to give the governing equations of motion: Steady-state flow Fully developed flow in the x-direction The plates are infinitely large in the z direction b. Derive the general solution for vx(y), with integration constants C and C, to the governing equation from part a) we considered two different mechanisms for flow of an incompressible Newtonian fluid (INF) between two horizontal parallel plates separated by distance a with the origin of the coordinate field at the midpoint between the plates: the first was pressure driven flow; the second was drag flow. Now we want you to analyze the situation shown in the figure below where both pressure driven flow (since Po> PL) and drag flow (since the top plate has velocity +U in the x-direction) are occurring simultaneously. 111111 x=0 Po > PL a x=L Top plate has velocity U Bottom plate is stationary a. Simplify the Navier-Stokes equations (in rectangular coordinates) according to the conditions listed below to give the governing equations of motion: Steady-state flow Fully developed flow in the x-direction The plates are infinitely large in the z direction b. Derive the general solution for vx(y), with integration constants C and C, to the governing equation from part a)