Problem 8.1P Problem 8.2P: The steady plane flow in Fig. P8.2 has the polar velocity components =r and r=0 . Determine the... Problem 8.3P: P8.3 Using cartesian coordinates, show that each velocity component of a potential flow satisfies... Problem 8.4P: P8.4 Is the function 1/r a legitimate velocity potential in plane polar coordinates? If so, what is... Problem 8.5P Problem 8.6P: An incompressible plane flow has the velocity potential =2Kxy , where B is a constant. Find the... Problem 8.7P Problem 8.8P: For the velocity distribution u=By,=+Bx , evaluate the circulation about the rectangular closed... Problem 8.9P Problem 8.10P Problem 8.11P Problem 8.12P Problem 8.13P: P8.13 Starting at the stagnation point in Fig. 8.6, the fluid acceleration along the half-body... Problem 8.14P: P8.14 A tornado may be modeled as the circulating flow shown in Fig. P8.14, with and such... Problem 8.15P: Hurricane Sandy, which hit the New Jersey coast on Oct. 29, 2012, was extremely broad, with wind... Problem 8.16P Problem 8.17P: P8.17 Find the position (x, y) on the upper surface of the half-body in Fig. 8.9a for which the... Problem 8.18P Problem 8.19P Problem 8.20P: Plot the streamlines of the flow due to a line vortex +K at (0, +a) and a vortex —K at (0, a). What... Problem 8.21P: P8.21 At point A in Fig. P8.21 is a clockwise line vortex of strength K = 12 m2/s. At point B is a... Problem 8.22P: P8.22 Consider inviscid stagnation flow, (see Fig. 8. 19b), superimposed with a source at the... Problem 8.23P: P8.23 Sources of strength m = 10 m2/s are placed at points A and B in Fig. P8.23. At what height h... Problem 8.24P: P8.24 Line sources of equal strength m = Ua, where U is a reference velocity, are placed at (x, y) =... Problem 8.25P Problem 8.26P Problem 8.27P Problem 8.28P: Sources of equal strength m are placed at the four symmetric positions x,y=a,a,a,a,a,a , and a,a .... Problem 8.29P Problem 8.30P Problem 8.31P: A Rankine half-body is formed as shown in Fig. P8.3 1. For the stream velocity and body dimension... Problem 8.32P Problem 8.33P: P8.33 Sketch the streamlines, especially the body shape, due to equal line sources +m at (0, +a) and... Problem 8.34P Problem 8.35P Problem 8.36P Problem 8.37P Problem 8.38P: Consider potential flow of a uniform stream in the x direction plus two equal sources, one at... Problem 8.39P: A large Rankine oval, with a = 1 m and h = 1 m, is immersed in 20°C water flowing at 10 m/s. The... Problem 8.40P Problem 8.41P Problem 8.42P Problem 8.43P: P8.43 Water at 20°C flows past a 1-rn-diameter circular cylinder. The upstream centerline pressure... Problem 8.44P Problem 8.45P Problem 8.46P: P8.46 A cylinder is formed by bolting two semicylindrical channels together on the inside, as shown... Problem 8.47P Problem 8.48P Problem 8.49P Problem 8.50P: It is desired to simulate flow past a two-dimensional ridge or bump by using a streamline that... Problem 8.51P Problem 8.52P:
P8.52 The Flettner rotor sailboat in Fig. E8.3 has a water drag coefficient of 0.006 based on a... Problem 8.53P: P8.52 The Flettner rotor sailboat in Fig. E8.3 has a water drag coefficient of 0.006 based on a... Problem 8.54P Problem 8.55P Problem 8.56P Problem 8.57P Problem 8.58P Problem 8.59P Problem 8.60P Problem 8.61P Problem 8.62P Problem 8.63P: The superposition in Prob. P8.62 leads to stagnation flow near a curved bump, in contrast to the... Problem 8.64P: Consider the polar-coordinate stream function sin1.2 , with B equal, for convenience, to 1.0... Problem 8.65P Problem 8.66P Problem 8.67P Problem 8.68P Problem 8.69P Problem 8.70P Problem 8.71P Problem 8.72P Problem 8.73P Problem 8.74P Problem 8.75P Problem 8.76P Problem 8.77P Problem 8.78P Problem 8.79P Problem 8.80P Problem 8.81P Problem 8.82P Problem 8.83P Problem 8.84P Problem 8.85P Problem 8.86P Problem 8.87P Problem 8.88P Problem 8.89P Problem 8.90P: NASA is developing a swing-wing airplane called the Bird of Prey [37]. As shown in Fig. P8.90, the... Problem 8.91P Problem 8.92P Problem 8.93P Problem 8.94P Problem 8.95P Problem 8.96P Problem 8.97P Problem 8.98P Problem 8.99P Problem 8.100P Problem 8.101P Problem 8.102P Problem 8.103P Problem 8.104P Problem 8.105P Problem 8.106P Problem 8.107P Problem 8.108P: P8.108 Consider two-dimensional potential flow into a step contraction as in Fig. P8.108. The inlet... Problem 8.109P Problem 8.110P Problem 8.111P Problem 8.112P Problem 8.113P Problem 8.114P Problem 8.115P Problem 8.1WP Problem 8.2WP Problem 8.3WP Problem 8.4WP Problem 8.5WP Problem 8.6WP Problem 8.7WP Problem 8.1CP Problem 8.2CP Problem 8.3CP Problem 8.4CP Problem 8.5CP Problem 8.6CP Problem 8.7CP Problem 8.1DP Problem 8.2DP Problem 8.3DP format_list_bulleted