Vortices are usually shed from the rear of a cylinder, which are placed in a uniform flow at low speeds. The vortices alternatively leave the top and the bottom of the cylinder, as shown in figure, causing an alternating force normal because of generating a dimensionless relationship for Kármán vortex shedding frequency fk (1/s) as a function of free-stream speed V(m/s), fluid density r (kg/m3), fluid viscosity µ (kg/m.s), sound velocity c (m/s), surface roughness ɛ (m) and cylinder diameter D(m). Solve the problem by making the necessary assumptions and drawing the schematic figure. I-Determine the nondimensional p parameters using repeating variables, involving f, ɛ, c and µ as nonrepeating variables ii-the dynamics of Bhosphorus bridge is investigated in a wind tunnel for the vortex generation behind the wires. A 1/56,2 scaled down model of the hanging wires is used in the laboratory. If vortex shedding frequency of of Bhosphorus bridge 562 Hz is measured in the laboratory at 26,2 m/s. Then determine the expected frequency in the actual case exposed to 162 km/h wind velocity.
Vortices are usually shed from the rear of a cylinder, which are placed in a uniform flow at low speeds. The vortices alternatively leave the top and the bottom of the cylinder, as shown in figure, causing an alternating force normal because of generating a dimensionless relationship for Kármán vortex shedding frequency fk (1/s) as a function of free-stream speed V(m/s), fluid density r (kg/m3), fluid viscosity µ (kg/m.s), sound velocity c (m/s), surface roughness ɛ (m) and cylinder diameter D(m).
Solve the problem by making the necessary assumptions and drawing the schematic figure.
I-Determine the nondimensional p parameters using repeating variables, involving f, ɛ, c and µ as nonrepeating variables
ii-the dynamics of Bhosphorus bridge is investigated in a wind tunnel for the vortex generation behind the wires. A 1/56,2 scaled down model of the hanging wires is used in the laboratory. If vortex shedding frequency of of Bhosphorus bridge 562 Hz is measured in the laboratory at 26,2 m/s. Then determine the expected frequency in the actual case exposed to 162 km/h wind velocity.
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