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.)
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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.)
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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.)
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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.)
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