A tiny aerosol particle of density pp and characteristic diameter Dp falls in air of density p and viscosity u . If the particle is small enough, the creeping flow approximation is valid, and the terminal settling speed of the particle V depends only on Dp, µ, gravitational constant g, and the density difference (pp - p). Use dimensional analysis to generate a relationship for Vas a function of the independent variables. Name any established dimensionless parameters that appear in your analysis.

A tiny aerosol particle of density pp and characteristic diameter Dp falls in air of density p and viscosity u . If the particle is small enough, the creeping flow approximation is valid, and the terminal settling speed of the particle V depends only on Dp, µ, gravitational constant g, and the density difference (pp - p). Use dimensional analysis to generate a relationship for Vas a function of the independent variables. Name any established dimensionless parameters that appear in your analysis.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.13P: 5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its...

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5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its bearing is found to be dependent on the force F normal to the shaft, the speed of rotation N of the shaft, the dynamic viscosity of the oil, and the shaft diameter D. Establish a correlation among these variables by using dimensional analysis.
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