TY - JOUR

T1 - Simulating nonlinear wavy flow modes developing in a thin horizontal layer of heavy liquid entrained by a gas flow

AU - Tsvelodub, O. Yu

PY - 2019/11/1

Y1 - 2019/11/1

N2 - The paper considers nonlinear waves generated on a surface of a horizontal liquid layer put into an assigned stress field at the gas-liquid interface. The nature of branching for wavy modes from the undisturbed flow was studied. To accomplish this, the solution of a model nonlinear equation written for the deviation of the layer thickness from the undisturbed layer is found. Analytical solutions were constructed for nonlinear steady state-travelling solutions of this equation with the wavenumbers belonging to the vicinity of neutral wavenumbers. Steady state-travelling periodic solutions for the first family were simulated for the case of wavenumbers beyond this vicinity.

AB - The paper considers nonlinear waves generated on a surface of a horizontal liquid layer put into an assigned stress field at the gas-liquid interface. The nature of branching for wavy modes from the undisturbed flow was studied. To accomplish this, the solution of a model nonlinear equation written for the deviation of the layer thickness from the undisturbed layer is found. Analytical solutions were constructed for nonlinear steady state-travelling solutions of this equation with the wavenumbers belonging to the vicinity of neutral wavenumbers. Steady state-travelling periodic solutions for the first family were simulated for the case of wavenumbers beyond this vicinity.

KW - evolution equation

KW - gas flow

KW - horizontal layer of viscous fluid

KW - model system

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=85080127650&partnerID=8YFLogxK

U2 - 10.1134/S0869864319060076

DO - 10.1134/S0869864319060076

M3 - Article

AN - SCOPUS:85080127650

VL - 26

SP - 861

EP - 867

JO - Thermophysics and Aeromechanics

JF - Thermophysics and Aeromechanics

SN - 0869-8643

IS - 6

ER -