A solid particle falls through a viscous fluid. The falling velocity, V, is believed to be a function of the fluid density, pf, the particle density, pp, the fluid viscosity, u, the particle diameter, D, and the acceleration due to gravity V-ίpf , pp, μ. D, g) By dimensional analysis, develop the n-groups for this problem. Express your answer in the form V/(gD)^(1/2)=f(n1, 12)
A solid particle falls through a viscous fluid. The falling velocity, V, is believed to be a function of the fluid density, pf, the particle density, pp, the fluid viscosity, u, the particle diameter, D, and the acceleration due to gravity V-ίpf , pp, μ. D, g) By dimensional analysis, develop the n-groups for this problem. Express your answer in the form V/(gD)^(1/2)=f(n1, 12)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A solid particle falls through a viscous fluid. The falling velocity, V, is believed to be a function of the
fluid density, pf, the particle density, pp, the fluid viscosity, u, the particle diameter, D, and the
acceleration due to gravity
V=f(pf, pp, u, D, g)
By dimensional analysis, develop the T-groups for this problem. Express your answer in the form
V/(gD)^(1/2)=f(11, 12)
O V/(gD)^(1/2)=f(VppD/u, pf/D)
O V/(gD)^(1/2)-f(ppD/u, pf/pp)
O V/(gD) =f(VppD/u, pf/pp)
O v/(gD)^(1/2)=f(Vpp/u, pf/pp)
O V/(gD)^(1/2)-f(VppD/u, pf/pp)
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