AN ANALYTICAL-NUMERICAL METHOD FOR INVESTIGATION AND SOLVING THREE DIMENSIONAL STEADY STATE NAVIER-STOKES EQUATIONS, II

N. Aliev, M. Jahanshahi, S.M. Hosseini

Abstract


Navier-Stokes equations are appeared in many engineering and physical problems.
According to the non-linearity of these equations solving methods
are often numerical.

In this paper a theoretical method is presented for investigation
and solving of three dimensional steady state Navier-Stokes
equations. According to this method, Navier-Stokes system of
equations is reduced to the second kind of Fredholm integral
equations whith weakly kind singularities in the integral expressions.

For this at first, divergence of equation (continuity equation)
is reduced to a system of Cauchy-Riemann equations.

Next, the three Navier-Stokes equations are reduced to the
divergence form of equations.

Finally, by making use of fundamental solutions of Cauchy-Riemann
equations, the resulted equation will be reduced to the second
kind of Fredholm integral equations. So, numerical methods are applicable after this reduction.

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