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Meen 344- HW 7

Meen 344- HW 7 - irrotational and derive an expression for...

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MEEN 344: Section 502 HW Problem Set #7 (Due on 10/24/06) 1. Compressed air is used to accelerate water from a tube. Neglect the velocity in the reservoir and assume the flow in the tube is uniform at any section. At a particular instant, it is known that s m V / 2 = and 2 / 50 . 2 / s m dt dV = . The cross-sectional area of the tube is A = 0.02 m 2 . Determine the pressure in the tank at this instant. 2. The velocity field for two-dimensional flow is j t Ay Bx i t By Ax V ˆ ) ( ˆ ) ( + = G , where A = 2 s -2 , B = 4 s -2 , t is in seconds, and the coordinates are measured in meters. Is this a possible incompressible flow? Is the flow steady or unsteady? Show that the flow is
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Unformatted text preview: irrotational and derive an expression for the velocity potential. 3. The stream function of a flow field is 3 2 By y Ax − = ψ , where 1 1 2 − − ⋅ ⋅ = s m A , 1 1 3 2 − − ⋅ = s m B and the coordinates are measured in meters. Find an expression for the velocity potential. 4. Consider the flow field represented by the velocity potential 2 2 By Bx Ax − + = φ , where A = 2 m s-1 , B = 2 s-1 , and the coordinates are measured in meters. Obtain expressions for the velocity field and stream function. Calculate the pressure difference between the origin and point (x,y) = (1,2)....
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