When a river flows at a velocity V past a circular pylon of diameter D, vortices are shed at a frequency f. It is known that f is also a function of the water density ρ and viscosity µ, and the acceleration due to gravity, g. (a) Use dimensional analysis to express this information in terms of a functional dependence on nondimensional groups. (b) A test is to be performed on a 1/4th scale model. If previous tests had shown that viscosity is not important, what velocity must be used to obtain dynamic similarity, and what shedding frequency would you expect to see?
When a river flows at a velocity V past a circular pylon of diameter D, vortices are shed at a frequency f. It is known that f is also a function of the water density ρ and viscosity µ, and the acceleration due to gravity, g. (a) Use dimensional analysis to express this information in terms of a functional dependence on nondimensional groups. (b) A test is to be performed on a 1/4th scale model. If previous tests had shown that viscosity is not important, what velocity must be used to obtain dynamic similarity, and what shedding frequency would you expect to see?
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When a river flows at a velocity V past a circular pylon of diameter D, vortices are shed at a frequency f. It is known that f is also a function of the water density ρ and viscosity µ, and the acceleration due to gravity, g.
(a) Use dimensional analysis to express this information in terms of a functional dependence on nondimensional groups.
(b) A test is to be performed on a 1/4th scale model. If previous tests had shown that viscosity is not important, what velocity must be used to obtain dynamic similarity, and what shedding frequency would you expect to see?
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