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Name: ________________ 2–21–2014 ME3560. Fluid Mechanics – TEST No. 2 1. A necked – down section in a pipe flow, called venture, develops a low throat pressure that can aspirate the fluid upward from the reservoir. Using Bernoulli’s equation, derive an expression for the velocity V1 that is just sufficient to bring the reservoir fluid into the throat. (35 pts.) ME3560 Fluid Mechanics. 2nd Test 1 2–21–2014 2. A flow velocity field is described by: V = (1 + 2.5x + y) i + (–0.5 – 1.5x – 2.5y) j where the x– and y–coordinates are in m and the magnitude of the velocity in m/s. (a) Is this flow one–, two–, or three–dimensional? (3 pts.) (b) Is this flow steady state or unsteady state regime? (3 pts.) (c) Determine if there are any stagnation points in this flow field, and if so, where they are (6 pts.) (d) Find an expression representing the acceleration field (7 pts.) (e) Determine acceleration of the flow at the point (x = 2 m, y = 3 m) (7 pts.) ME3560 Fluid Mechanics. 2nd Test 2 2–21–2014 3. A flow velocity field is described by: V = (0.5+ 1.2x) i + (–2.0 – 1.2y) j Generate an analytical expression for the flow streamlines (20 pts.) ME3560 Fluid Mechanics. 2nd Test 3 2–21–2014 4. A glass manometer with oil as the working fluid is connected to an air duct as shown. Will the oil in the manometer move as in Figure (a) or (b). Explain. (15 pts.) 5. A velocity field is given by: V = 6x j m/s. Of the velocity fields shown below, which one corresponds to the expression of the velocity field given? (10 pts.) ME3560 Fluid Mechanics. 2nd Test 4 2–21–2014 ME3560 Fluid Mechanics. 2nd Test 5