Influence of the lateral wall velocity on three-dimensional disturbance development in plane Poiseuille–Couette flow

I. V. Savenkov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia

Abstract: The linear stage of three-dimensional disturbance development in the Poiseuille–Couette flow in the case when both walls can move in the lateral direction is investigated by applying the asymptotic triple-deck theory. It is shown that the lateral wall velocity has no effect on the streamwise velocity of a wave packet. The packet does not bifurcate, but drifts in the lateral direction at the speed equal to the arithmetic mean of the walls’ speeds. Characteristic “ripples” in the lateral direction are observed at the stage of packet formation.

Key words: two-dimensional Poiseuille–Couette flow, Tollmien–Schlichting waves, oblique waves, three-dimensional disturbances, wave packets, asymptotic expansions, triple-deck theory, Navier–Stokes equations.

UDC: 519.634

Received: 29.01.2015
Revised: 28.09.2016

DOI: 10.7868/S0044466917050106

 English version: Computational Mathematics and Mathematical Physics, 2017, 57:5, 881–887

Bibliographic databases:

• 
• 
• 
•