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Consider a sphere of radius R immersed in a uniform stream Uo, as shown in Fig. According to the theory the fluid velocity along streamline AB is given by
Consider a turbine extracting energy from a penstock in a dam, as in the figure. For turbulent flow the friction head loss is hf = CQ2
Consider a viscous film of liquid draining uniformly down the side of a vertical rod of radius a, as in Fig.
Consider air flowing past a hemisphere resting on a flat surface, as in Fig. If the internal pressure is pi, find an expression for the pressure force
Create an adjacency matrix for this graph What is the length of the shortest path from node A to node F?
Consider a steel sphere (SG = 7.85) of diameter 2 cm, dropped from rest in water at 20°C. Assume a constant drag coefficient CD = 0.47
Consider a horizontal 4-ft-diameter galvanized-iron pipe simulating the Alaska Pipeline. The oil flow is 70 million U.S. gallons per day, at a density of 910 kg
Concorde aircraft flies at Ma ˜ 2.3 at 11-km standard altitude. Estimate the temperature in °C at the front stagnation point
Consider in viscid stagnation flow ? = Kxy, superimposed with a source at the origin of strength m. Plot the resulting streamlines in the upper-half plane
As can often be seen in a kitchen sink when the faucet is running, a high-speed channel flow (V1, h1) may ojump?to a low-speed, low-energy condition
Use the superposition method to determine the value of VO .
As shown in Fig. a liquid column of height h is confined in a vertical tube of cross-sectional area A by a stopper.
As shown in Fig. a multi duct cross section consists of seven 2-cmdiameter smooth thin tubes packed tightly in a hexagonal
Bernoulli's 1738 treatise Hydrodynamica contains many excellent sketches of flow patterns. One, however, redrawn here as Fig. seems physically misleading.
Circular-arc Tainter gate ABC pivots about point O. For the position shown, determine
Atmospheric boundary layers are very thick but follow formulas very similar to those of flat-plate theory. Consider wind blowing at 10 m/s at a height of 80 m
As soldiers get bigger and packs get heavier, a parachutist and load can weigh as much as 400 lbf.
At a point upstream of the throat of a converging-diverging nozzle, the properties are V1 = 200 m/s, T1 = 300 K, and p1 = 125 kPa
An incompressible fluid flows past an impermeable flat plate, as in Fig. with a uniform inlet profile u = Uo and a cubic polynomial exit profile u ˜
An incompressible fluid flows steadily through the rectangular duct in the figure. The exit velocity profile is given by u ˜ umax(1 - y2/b2)(1 - z2/h2).
An incompressible fluid is squeezed between two disks by downward motion Vo of the upper disk. Assuming 1-dimensional radial outflow, find the velocity V(r).
An observer at sea level does not hear an aircraft flying at 12000 ft standard altitude until it is 5 statute miles past her. Estimate the aircraft speed in ft/
An oil film drains steadily down the side of a vertical wall, as shown. After an initial development at the top of the wall, the film becomes independent
An open water jet exits from a nozzle into sea-level air, as shown, and strikes a stagnation tube. If the centerline pressure at section (1) is 110 kPa
An oil cooler consists of multiple parallel-plate passages, as shown in Fig. P6.88. The available pressure drop is 6 kPa, and the fluid is SAE 10W oil at 20°C