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Engineering Mathematics
Review of Viscous Flows
Review of Computational Fluid Mechanics

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The National Science Foundation
ME 537 The National Science Foundation
 Aerosols
Introduction to Aerosols | Drag, Lift Forces | Aerosol Kinetics | Virtual Mass, Basset Forces & BBO Equation | Nonspherical Particles | Brownian Motions | Particle Deposition Mechanisms | Electrodynamics | Aerosol Coagulation |

Drag Force

Cylindrical Needle

For a cylindrical needle with a very large ratio of length to radius ratio, moving transverse to its axis as shown in Figure 10, the drag per unit length is given as

(26)
where and a is the radius.
Calculation Model

Drag - Cylindrical Needle

Drag - Cylindrical Needle


Particle Shape Factor

The ratio of the resistance of a given particle to that of a spherical particle having the same volume is called the dynamic shape factor of the particle K. The radius of an equal volume sphere is referred to as the equivalent radius re. Clearly
(27)
(28)
Hence,
(29)
(30)

The Stokes (sedimentation) radius of a particle is the radius of a sphere with the same density, which is settling with the terminal velocity of the particle in a quiescent fluid. Values of shaped factors for a number of particles are available. (Hidy, 1984; Lerman, 1979).



Dr. Goodarz Ahmadi | Turbulence & Multiphase Fluid Flow Laboratory | Department of Mechanical & Aeronautical Engineering
Copyright © 2002-2005 Dr. Goodarz Ahmadi. All rights reserved.
Potsdam, New York, 13699
ahmadi@clarkson.edu