Some analytic solutions of the unsteady Navier-stokes Equations

ABSTRACT

The unsteady Navier-Stokes equations are transformed into steady state equations using lie group theory. The solutions of the steady state equations are determined for the flows for which the vorticity is proportional to psi perturbed by a uniform flow U y and or the flows characterized by y = R[x] + v[psi] and y = Q[x] v[psi]. For some flows streamline patterns are also presented