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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
Experimental Techniques
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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

Nonhomogeneous Second-Order Differential Equations (Particular Solution)

 

Bernoulli Differential Equations

 

Let

 

 

Euler Differential Equations

 

Change variable

 

which is a constant coefficient equation.

An alternative method that is more convenient is to assume a power law solution. That is 

which leads to a characteristic equation given as

Solving for

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