Navier-Stokes Equations

Question: Navier-Stokes equations I need to know what these equations are 
and some references so that my student team can understand them.  We are going 
to the Cornell Super computing Contest and the FIDAP software package uses 
these equations.  An understanding will help us better pose and solve our 
problem on wing design for paper airplanes.
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The Navier-Stokes equation is a standard equation that describes 
the flow of continuum matter in fluid form - that can be a liquid like water, 
or a gas like the air.  The equation describes the change with time of the 
density and velocity of the fluid.  From the density, (assuming constant 
temperature) you should be able to get pressure, which is needed for wing 
design.  The equation involves derivatives with respect to space and time of 
this velocity and density, and the important thing that you need to take 
account of is the boundary between the air and the wing - these boundary 
conditions (and the plane's speed relative to the overall air speed) are what 
determine the solution.  I do not know the name of any specific text, but an 
advanced aeronautical engineering text should give you more than you need.  
Look in the library under aeronautics, fluid dynamics, and maybe airplane 
design, or wing design.

A. Smith
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Any good fluid dynamics or meteorology text will have an 
explanation of the NS equations.  The exact form changes with coordinate 
systems and mathematical are vector notation, but I think the general idea is 
that the total rate of change of the system = the local rate of change with 
time + the rate at which the substance is transported by your location.  So 
the temperature change at your location has two components, the local 
derivative as say the sun heats your air, and the advection term as hotter or 
cooler air is moved past your location by the wind.

Mark Fernau
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