- 8.p8.1: Prove that the streamlines (r, ) in polar coordinates from Eqs. (8....
- 8.p8.2: Prove that the streamlines (r, ) in polar coordinates from Eqs. (8....
- 8.p8.3: Using cartesian coordinates, show that each velocity component (u, ...
- 8.p8.4: Is the function 1/r a legitimate velocity potential in plane polar ...
- 8.p8.5: A proposed harmonic function F(x, y, z) is given by F 5 2x2 1 y3 2 ...
- 8.p8.6: An incompressible plane fl ow has the velocity potential 5 2Kxy, wh...
- 8.p8.7: Consider a fl ow with constant density and viscosity. If the fl ow ...
- 8.p8.8: For the velocity distribution u 5 2By, 5 1Bx, w 5 0, evaluate the c...
- 8.p8.9: Consider the two-dimensional fl ow u 5 2Ax, 5 Ay, where A is a cons...
- 8.p8.10: A two-dimensional Rankine half-body, 8 cm thick, is placed in a wat...
- 8.p8.11: A power plant discharges cooling water through the manifold in Fig....
- 8.p8.12: Consider the fl ow due to a vortex of strength K at the origin. Eva...
- 8.p8.13: Starting at the stagnation point in Fig. 8.6, the fl uid accelerati...
- 8.p8.14: A tornado may be modeled as the circulating fl ow shown in Fig. P8....
- 8.p8.15: Hurricane Sandy, which hit the New Jersey coast on Oct. 29, 2012, w...
- 8.p8.16: Hurricane Sandy, which hit the New Jersey coast on Oct. 29, 2012, w...
- 8.p8.17: Find the position (x, y) on the upper surface of the half-body in F...
- 8.p8.18: Plot the streamlines and potential lines of the fl ow due to a line...
- 8.p8.19: Plot the streamlines and potential lines of the fl ow due to a line...
- 8.p8.20: Plot the streamlines of the fl ow due to a line vortex 1K at (0, 1a...
- 8.p8.21: At point A in Fig. P8.21 is a clockwise line vortex of strength K 5...
- 8.p8.22: Consider inviscid stagnation fl ow, 5 Kxy (see Fig. 8.19b), superim...
- 8.p8.23: Sources of strength m 5 10 m2 /s are placed at points A and B in Fi...
- 8.p8.24: Line sources of equal strength m 5 Ua, where U is a reference veloc...
- 8.p8.25: Let the vortex/sink fl ow of Eq. (8.16) simulate a tornado as in Fi...
- 8.p8.26: 580 Chapter 8 Potential Flow and Computational Fluid Dynamics P8.26...
- 8.p8.27: Water at 208C fl ows past a half-body as shown in Fig. P8.27. Measu...
- 8.p8.28: Sources of equal strength m are placed at the four symmetric positi...
- 8.p8.29: A uniform water stream, U 5 20 m/s and 5 998 kg/m3 , combines with ...
- 8.p8.30: A tornado is simulated by a line sink m 5 21000 m2 /s plus a line v...
- 8.p8.31: A Rankine half-body is formed as shown in Fig. P8.31. For the strea...
- 8.p8.32: Line sources m1 and m2 are near point A, as in Fig. P8.32. If m1 5 ...
- 8.p8.33: Sketch the streamlines, especially the body shape, due to equal lin...
- 8.p8.34: Consider three equally spaced sources of strength m placed at (x, y...
- 8.p8.35: A uniform stream, U 5 4 m/s, approaches a Rankine oval as in Fig. 8...
- 8.p8.36: When a line sourcesink pair with m 5 2 m2 /s is combined with a uni...
- 8.p8.37: A Rankine oval 2 m long and 1 m high is immersed in a stream U 5 10...
- 8.p8.38: Consider potential fl ow of a uniform stream in the x direction plu...
- 8.p8.39: A large Rankine oval, with a 5 1 m and h 5 1 m, is immersed in 208C...
- 8.p8.40: Modify the Rankine oval in Fig. P8.37 so that the stream velocity a...
- 8.p8.41: A Kelvin oval is formed by a linevortex pair with K 5 9 m2 /s, a 5 ...
- 8.p8.42: The vertical keel of a sailboat approximates a Rankine oval 125 cm ...
- 8.p8.43: Water at 208C fl ows past a 1-m-diameter circular cylinder. The ups...
- 8.p8.44: Suppose that circulation is added to the cylinder fl ow of Prob. P8...
- 8.p8.45: If circulation K is added to the cylinder fl ow in Prob. P8.43, (a)...
- 8.p8.46: A cylinder is formed by bolting two semicylindrical channels togeth...
- 8.p8.47: A circular cylinder is fi tted with two surface-mounted pressure se...
- 8.p8.48: Wind at U and p fl ows past a Quonset hut which is a half-cylinder ...
- 8.p8.49: In strong winds the force in Prob. P8.48 can be quite large. Suppos...
- 8.p8.50: It is desired to simulate fl ow past a two-dimensional ridge or bum...
- 8.p8.51: A hole is placed in the front of a cylinder to measure the stream v...
- 8.p8.52: The Flettner rotor sailboat in Fig. E8.3 has a water drag coeffi ci...
- 8.p8.53: Modify Prob. P8.52 as follows. For the same sailboat data, fi nd th...
- 8.p8.54: The original Flettner rotor ship was approximately 100 ft long, dis...
- 8.p8.55: Assume that the Flettner rotor ship of Fig. P8.54 has a water resis...
- 8.p8.56: A proposed free-stream velocimeter would use a cylinder with pressu...
- 8.p8.57: In principle, it is possible to use rotating cylinders as aircraft ...
- 8.p8.58: Plot the streamlines due to the combined fl ow of a line sink 2m at...
- 8.p8.59: In principle, it is possible to use rotating cylinders as aircraft ...
- 8.p8.60: One of the corner fl ow patterns of Fig. 8.18 is given by the carte...
- 8.p8.61: Plot the streamlines of Eq. (8.53) in the upper right quadrant for ...
- 8.p8.62: Combine stagnation fl ow, Fig. 8.19b, with a source at the origin: ...
- 8.p8.63: The superposition in Prob. P8.62 leads to stagnation fl ow near a c...
- 8.p8.64: Consider the polar-coordinate stream function 5 Br1.2 sin(1.2 ), wi...
- 8.p8.65: Potential fl ow past a wedge of half-angle leads to an important ap...
- 8.p8.66: The inviscid velocity along the wedge in Prob. P8.65 has the analyt...
- 8.p8.67: Investigate the complex potential function f(z) 5 U(z 1 a2 /z) and ...
- 8.p8.68: Investigate the complex potential function f(z) 5 U z 1 m ln [(z 1 ...
- 8.p8.69: Investigate the complex potential f(z) 5 A cosh [(z/a)], and plot t...
- 8.p8.70: Show that the complex potential f 5 U5z 1 1 4a coth [(z/a)]} repres...
- 8.p8.71: Show that the complex potential f 5 U5z 1 1 4a coth [(z/a)]} repres...
- 8.p8.72: Use the method of images to construct the fl ow pattern for a sourc...
- 8.p8.73: Set up an image system to compute the fl ow of a source at unequal ...
- 8.p8.74: A positive line vortex K is trapped in a corner, as in Fig. P8.74. ...
- 8.p8.75: Using the four-source image pattern needed to construct the fl ow n...
- 8.p8.76: Use the method of images to approximate the fl ow pattern past a cy...
- 8.p8.77: Discuss how the fl ow pattern of Prob. P8.58 might be interpreted t...
- 8.p8.78: Indicate the system of images needed to construct the fl ow of a un...
- 8.p8.79: Explain the system of images needed to simulate the fl ow of a line...
- 8.p8.80: The beautiful expression for lift of a two-dimensional airfoil, Eq....
- 8.p8.81: Given an airplane of weight W, wing area A, aspect ratio AR, and fl...
- 8.p8.82: The ultralight plane Gossamer Condor in 1977 was the fi rst to comp...
- 8.p8.83: The worlds largest airplane, the Airbus A380, has a maximum weight ...
- 8.p8.84: Reference 12 contains inviscid theory calculations for the upper an...
- 8.p8.85: A wing of 2 percent camber, 5-in chord, and 30-in span is tested at...
- 8.p8.86: An airplane has a mass of 20,000 kg and fl ies at 175 m/s at 5000-m...
- 8.p8.87: A freshwater boat of mass 400 kg is supported by a rectangular hydr...
- 8.p8.88: The Boeing 787-8 Dreamliner has a maximum weight of 502,500 lbf, a ...
- 8.p8.89: The Beechcraft T-34C aircraft has a gross weight of 5500 lbf and a ...
- 8.p8.90: NASA is developing a swing-wing airplane called the Bird of Prey [3...
- 8.p8.91: If (r, ) in axisymmetric fl ow is defi ned by Eq. (8.72) and the co...
- 8.p8.92: A point source with volume fl ow Q 5 30 m3 /s is immersed in a unif...
- 8.p8.93: The Rankine half-body of revolution (Fig. 8.30) could simulate the ...
- 8.p8.94: Determine whether the Stokes streamlines from Eq. (8.73) are everyw...
- 8.p8.95: Show that the axisymmetric potential fl ow formed by superposition ...
- 8.p8.96: Consider inviscid fl ow along the streamline approaching the front ...
- 8.p8.97: The Rankine body of revolution in Fig. P8.97 is 60 cm long and 30 c...
- 8.p8.98: We have studied the point source (sink) and the line source (sink) ...
- 8.p8.99: Consider air fl owing past a hemisphere resting on a fl at surface,...
- 8.p8.100: A 1-m-diameter sphere is being towed at speed V in fresh water at 2...
- 8.p8.101: Consider a steel sphere (SG 5 7.85) of diameter 2 cm, dropped from ...
- 8.p8.102: A golf ball weighs 0.102 lbf and has a diameter of 1.7 in. A profes...
- 8.p8.103: Consider inviscid fl ow past a sphere, as in Fig. 8.31. Find (a) th...
- 8.p8.104: Consider a cylinder of radius a moving at speed U through a still f...
- 8.p8.105: A 22-cm-diameter solid aluminum sphere (SG 5 2.7) is accelerating a...
- 8.p8.106: Laplaces equation in plane polar coordinates, Eq. (8.11), is compli...
- 8.p8.107: SAE 10W30 oil at 208C is at rest near a wall when the wall suddenly...
- 8.p8.108: Consider two-dimensional potential fl ow into a step contraction as...
- 8.p8.109: Consider inviscid fl ow through a two-dimensional 908 bend with a c...
- 8.p8.110: For fully developed laminar incompressible fl ow through a straight...
- 8.p8.111: Solve Prob. P8.110 numerically for a rectangular duct of side lengt...
- 8.p8.112: In CFD textbooks [5, 2327], one often replaces the lefthand sides o...
- 8.p8.113: Formulate a numerical model for Eq. (8.99), which has no instabilit...
- 8.p8.114: If your institution has an online potential fl ow boundary element ...
- 8.p8.115: Use the explicit method of Eq. (8.100) to solve Prob. P4.85 numeric...

# Solutions for Chapter 8: Pressure Distribution in a Fluid

## Full solutions for Fluid Mechanics | 8th Edition

ISBN: 9780073398273

Solutions for Chapter 8: Pressure Distribution in a Fluid

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