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Notation Definition Continuum Hypoth. Balance Laws Cauchy's Hypoth. Local Bal. Laws Constitutive Assumpt. Constitutive Relations Field Equations Physical BC Shock Jump Cond. Summary
Inviscid Flows Incompressible Flows Conservative Forms Bernoulli Equations Vorticity Special Fluid Models
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Navier-Stokes Equations
The Navier-Stokes equations are the foundation of fluid mechanics and, strangely enough, are rarely recorded in their entirety viagra. The motivation for developing this site was to help plug this gap and to also provide an easily accessible, i cialis.e viagra online pharmacy., web-based, source which lists the full set of equations normally associated with fluid mechanics generic cialis. Please note that you won't find any detailed derivations or proofs here, although the presentation style is intended to provide enough development to give the reader a feel for the overall structure of the theory. I hope that the efficiency of the presentation will enable my visitors to identify the key results more easily. There are many excellent texts which can be used to fill in the details of the derivation generic viagra. Many of these texts are listed in the Great Books section. You should also be warned that you won't be seeing any animations or cute graphics here. Again, this is in the spirit of the no-nonsense, plain-jane approach of the site . If you are interested in seeing great images and movies of fluids in motion, have a look at my Gallery of Fluid Mechanics. I think that the most likely audience for these notes are mathematicians, physicists, computational fluid dynamicists, graduate students, and working engineers who need a quick, complete, and correct statement of the Navier-Stokes equations without all the development, derviation, and motivation that is (appropriately, I hasten to add) included in fluid mechanics texts and courses. This material is certainly not for the typical undergraduate who is just starting their first plumbing (engineering fluid mechanics) or aerodynamics course. However, there are no proofs and the mathematical notation will be familiar to most undergraduates who have had junior level courses on fluids (or aerodynamics) and vector calculus. Perhaps there are a few bright and ambitious undergraduates out there who will find my scribblings interesting. If there are any questions, suggestions, or corrections on the material please drop me a note at any of the Contact links. The site is constantly being fine-tuned and I'm always eager to improve it.
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