Irregular wavy flow due to viscous stratification

T. Shlang , G.I. Sivashinsky , A.J. Babchin , A.L. Frenkel

By use of the strong surface-tension approximation, an asymptotic equation is derived to describe the nonlinear evolution of the disturbed interface in viscosity stratified-Poiseuille flow : Φτ + ΦΦ ξ + Φξξ + Φξξξξ = 0. While fully deterministic, this equation is capable of generating solutions in the form of irregularly self-fluctuating quasi-periodic waves.

Mots clés: flow instability; stratified flow; surface tension; waves

Domaines: Articles anciens

T. Shlang, G.I. Sivashinsky, A.J. Babchin, A.L. Frenkel. Irregular wavy flow due to viscous stratification. Journal de Physique, 1985, 46 (6), pp.863-866. ⟨10.1051/jphys:01985004606086300⟩. ⟨jpa-00210031⟩