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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 |

Ellipsoidal Particles

For particles that are ellipsoids of revolution, the drag force is given by
FD=6πµUaK′ (17)

where a is the equatorial semi-axis of the ellipsoids and K′ is a shape factor. For the motion of a prolate ellipsoid along the polar axis as shown in Figure 6a,

(18)

where β is the ratio of the major axis b to the minor axis a.

For the motion of a prolate ellipsoid of revolution transverse to the polar axis, as shown in Figure 6b

(19)

Similarly, for the motion of an oblate ellipsoid of revolution along the polar axis as shown in Figure 7a,

(20)

Calculation Models - Ellipsoids of Revolution

Oblate Ellipsoid - Shape Factor

Oblate Ellipsoid - Lift


Prolate Ellipsoid - Shape Factor

Prolate Ellipsoid - Lift



For the motion of an oblate ellipsoid transverse to the polar axis as shown in Figure 7b,

(21)



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