Chapter 7, Problem 50. A periodic Kármán vortex street is formed when a uniform stream flows over a circular cylinder (Fig. P7-50). Use the method of repeating variables to generate a dimensionless relationship for Kármán vortex shedding frequency, as a function of free-stream speed V, fluid density p, fluid viscosity, and cylinder diameter D. Show all your work. Chapter 7, Problem 56. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary as illustrated in Fig. P7-56. The flow is steady, incompressible, and two-dimensional in the xy-plane. Use the method of repeating variables to generate a dimensionless relationship for the x-component of fluid velocity w as a function of fluid viscosity μ, top plate speed V, distance h, fluid density p, and distance y. Show all your work.