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Engineering Mathematics
Review of Viscous Flows
Review of Computational Fluid Mechanics
Review of Turbulence and Turbulence Modeling

Particle Adhesion
Colloids
Simulation Methods
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The National Science Foundation
ME 637 The National Science Foundation
 Engineering Mathematics
Special Functions | Differential Equations | Fourier Series | Laplace Transforms | Probability and Random Processes | Linear Systems | Useful Integrals | Vector Identities

Differential Equations

Homogeneous Differential Equations

Set

Exact Differential Equations

with

i.e.

The solution then is given by

Riccati Differential Equations

Let

Then

which is a linear equation.

If a solution

leads to a Bernoulli’s Equation. i.e.,

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