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The Study of Fluid Motion

Fluid motion can take a variety of forms ranging from simple flows such as laminar flow in a pipe, to more complex flows such as vortex shedding behind cylinders, wave motion and turbulence. It incorporates both liquid and gaseous flows. Many of the different flow situations have been examined experimentally, however it is advantageous to develop a numerical model capable of simulating the many flow structures experienced in the motion of different fluids.
Fluid motion is governed by the continuity equation

  equation27

and the Navier-Stokes equation

  equation33

for a fluid with velocity tex2html_wrap_inline12875 , density tex2html_wrap_inline12075 , pressure p, kinematic shear viscosity tex2html_wrap_inline12375 and kinematic bulk viscosity tex2html_wrap_inline12883 . The Navier-Stokes equation is a second-order partial differential equation which has no known analytic solution except for a small number of special cases. With the advent of computer technology attempts have been made at producing numerical simulations of fluid flows.


James Buick
Tue Mar 17 17:29:36 GMT 1998