Name: ________________ 3–20–2012

ME3560 Fluid Mechanics. 2nd Test 1

ME3560. Fluid Mechanics – TEST No. 2

1. A steady jet of water is used to propel a small cart along a horizontal track as shown. Total resistance to motion of the cart assembly is given by FD = kU2, where k = 0.92 N•s2/m2. Determine the acceleration of the cart at the instant when its speed is U = 10 m/s. (30 pts.)

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ME3560 Fluid Mechanics. 2nd Test

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2. A Newtonian fluid of density ρ and viscosity µ is contained between two inclined parallel infinite stationary plates. The distance between the plates is h. Assuming steady state, incompressible and laminar flow, find an expression for the velocity distribution of the fluid contained between the plates as it moves due to the action of its own weight. (30 pts.)

θ g

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ME3560 Fluid Mechanics. 2nd Test

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3. For the system shown in the figure, the losses up to section A are 5V1

2/2g and the nozzle losses are 0.05V2

2/2g. Find the velocity of the jet immediately outside the nozzle (V2) and the pressure at section A. H = 8 m. (γ = 9810 N/m3). (20 pts.)

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ME3560 Fluid Mechanics. 2nd Test

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4. Find the stream function (ψ)and velocity potential (Φ) for the velocity flow field given by:

V = 10x2 ȋ – 20xy ĵ (m/s) (20 pts.)

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ME3560 Fluid Mechanics. 2nd Test

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