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HWset3-S2011 - ASE320 Homework set# 3 Due:...

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Unformatted text preview: ASE320 Homework set # 3 Due: February 15, 2011 1.) The largest artery in the body is the one that supplies blood to the legs. As it comes down the trunk of the body, it splits into a Y ­junction, as shown below. Blood with specific gravity of 1.05 is pumped into the junction at a speed of V1=1.5ms ­1. The diameter of the entrance flow is d1=20mm, and for the exit flows d2=15mm and d3=12mm. If the mass flows rates at stations 2 and 3 are equal, find V2 and V3. 2.) Water flows radially toward the drain in a sink, as shown below. At a radius of 50mm, the velocity of the water is uniform at 120mms ­1, and the water depth is 15mm. Determine the average velocity of the water in the 30mm drain pipe. 3.) A jet of cross sectional area A1 steadily issues fluid of density ρ at a velocity V1, into a duct of area A2=5A1, as shown in the illustration below. The jet initially has parallel streamlines. The surrounding flow in the duct as the same density ρ and a velocity V2=V1/2. The flow mixes thoroughly, and by section B the flow is approximately uniform across the duct area. In terms of ρ and V1, find the average velocity of flow at section B, and the pressure difference between sections A and B. 4.) Air, of constant density ρ, flows through the smooth, horizontal pipe bend as shown below where it exits to the atmosphere at a constant velocity V. The pipe is circular with an internal radius R. A force F must be applied in the horizontal plane to keep the pipe in place. No forces are transmitted across the flange at the inlet to the bend and the flow may be treated as 1 ­D. Find the magnitude of F in terms of ρ, R, and V. Neglect pressure changes. 5.) An effectively two ­dimensional jet of water impinges on a wedge as shown below. The wedge is supported at its apex such that the lower surface remains horizontal. If the thicknesses t2 and t3 are equal and U2=U3=2U1, find the angle for which the magnitude of the x ­ and y ­components of the reaction at the apex are equal. Neglect gravitational effects and the pressure is atmospheric everywhere. ...
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