Exact and asymptotic conditions on traveling wave solutions of the Navier–Stokes equations
Exact and asymptotic conditions on traveling wave solutions of the Navier–Stokes equations
We derive necessary conditions that traveling wave and other solutions of the Navier–Stokes equations must satisfy in the pipe, Couette, and channel flow geometries. Some conditions are exact and must hold for any traveling wave solution or periodic solution irrespective of the Reynolds number (Re). Other conditions are asymptotic in …