Meen 344- HW 5

Meen 344- HW 5 - MEEN 344: Section 502 HW Problem Set #5...

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MEEN 344: Section 502 HW Problem Set #5 (Due on 10/10/06) 1. For a flow in the xy plane, the x component of velocity is given by () uA x yB =− , where A = 2 m -1 s -1 , B = 2m, and x and y are measured in meters. Find a possible y component for steady, incompressible flow. Is it also valid for unsteady, incompressible flow? Why? How many y components are possible? 2. Consider the velocity field 22 ˆˆ (2 )( 2 ) VA x x y iAx yyj =+ + G in the xy plane, where A = 0.5 m -1 s -1 , and the coordinates are measured in meters. Is this a possible incompressible flow field? Calculate the acceleration of a fluid particle at point (x,y) = (2,1). 3. Consider the incompressible flow of a fluid through a nozzle as shown below. The area of the nozzle is given by 0 (1 ) AA b x and the inlet velocity varies according to 0 ) t UU e λ , where A 0 = 1 m 2 , L = 5 m, b = 0.1 m -1, λ = 0.1 s -1 , and U 0 = 5 m/s. Find and plot the acceleration on the centerline, with time as a parameter.
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