An Exact Solution of the Navier-Stokes Equations

Abstract

ux = U{1 y /a*) ) t CD p! = Po (2»U/a*) (x Ut)j It can be shown that Eqs. (1) are a nontrivial solution only if y = 1.5. I t seems likely that this solution is part of a more general solution which has other terms involving {y — 1.5). We shall assume that the more general solution is of the form: V = [u(y, z, t), 0, 0], p = const. Under this assumption, the continuity equation is satisfied identically and the remaining Navier-Stokes equations reduce to