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Find a formula for the stream function for flow of a doublet of strength ? at a distance a from a wall, as in Fig.
Dam ABC in Fig. is 30 m wide into the paper and is concrete (SG ˜ 2.40). Find the hydrostatic force on surface AB and its moment about C.
Derive an expression for the capillary height change h, as shown, for a fluid of surface tension Y and contact angle between two parallel plates W apart
Downstream of a wide hydraulic jump the flow is 4 ft deep and has a Froude number of 0.5. Estimate
Consider laminar flow past the square-plate arrangements in the figure below. Compared to the drag of a single plate (1), how much larger is the drag
Consider the flow in a wide channel over a bump, as in Fig. One can estimate the water-depth change or transition with frictionless flow.
Consider the flow under the sluice gate of Fig. If y1 = 10 ft and all losses are neglected except the dissipation in the jump, calculate y2 and y3
Consider the following two-dimensional incompressible flow, which clearly satisfies continuity: u = Uo = constant, v = Vo = constant Find the stream function
Consider the gradual change from the profile beginning at point a in Fig. on a mild slope So1 to a mild but steeper slope
Consider the venturi nozzle with D = 5 cm and d = 3 cm. Air stagnation temperature is 300 K, and the upstream velocity V1 = 72 m/s.
Consider the three-reservoir system of Fig. P6.121 with the following data: L1 = 95 m L2 = 125 m L3 = 160 m z1 = 25 m z2 = 115 m z3 = 85 m
Consider the two-dimensional incompressible velocity potential f = xy + x2 - y2.
Consider the two-dimensional velocity distribution u = -By, v = +Bx, where B is a constant. If this flow possesses a stream function, find its form.
Consider viscous flow over a very small object. Analysis of the equations of motion shows that the inertial terms are much smaller than viscous and pressure
Consider water at 20°C flowing past a 1-m-diameter cylinder. What doublet strength in m2/s is required to simulate this flow?
Consider a hollow cube of side length 22 cm, full of water at 20°C, and open to patm = 1 atm at top corner A.
Consider a homogeneous right circular cylinder of length L, radius R, and specific gravity SG, floating in water (SG = 1) with its axis vertical.
Consider a pump geometrically similar to the 9-in-diameter pump of Fig. to deliver 1200 gal/min of kerosene at 1500 rpm, determine the appropriate
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