Vortex shedding is a common fluid flow problem across bluff bodies. The design of buildings and bridges take into account the analysis of vortex shedding phenomena to avoid the occurrence of resonance, where the natural frequency of the body matches the vortex shedding frequency. In this analysis, the following parameters are found to be important: velocity of flow (V), density of fluid (p), hydraulic diameter of the duct (D₁), dynamic viscosity of fluid (u), width of body (B) and the vortex shedding frequency (n). Using the method of repeating variables, find the non-dimensional relationship governing the phenomena.

Vortex shedding is a common fluid flow problem across bluff bodies. The design of buildings and bridges take into account the analysis of vortex shedding phenomena to avoid the occurrence of resonance, where the natural frequency of the body matches the vortex shedding frequency. In this analysis, the following parameters are found to be important: velocity of flow (V), density of fluid (p), hydraulic diameter of the duct (D₁), dynamic viscosity of fluid (u), width of body (B) and the vortex shedding frequency (n). Using the method of repeating variables, find the non-dimensional relationship governing the phenomena.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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