One-dimensional mixing layer model for a shear Hele-Shaw flow

All-Russian conference on Nonlinear Waves: Theory and New Applications

Kovtunenko, P.V.^1,2

Lavrentyev Institute of Hydrodynamics of SB RAS, Novosibirsk

630090, Russia^1

Novosibirsk State University, Novosibirsk

630090, Russia^2

关键词: Governing equations;    Hele-Shaw cells;    Long-wave approximation;    Numerical experiments;    One-dimensional model;    Stationary flow;    Stratified fluid;    Three-layered structures;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012020/pdf
DOI  :  10.1088/1742-6596/722/1/012020

来源: IOP

【 摘 要 】

A shear flow of a viscosity-stratified fluid in a Hele-Shaw cell is considered. The long-wave approximation is applied to the governing equations. To describe the evolution of the mixing layer, a special flow with a three-layered structure is considered. A one-dimensional model is derived by averaging the motion equations over the cell width, taking into account the flow structure. For a stationary flow, solutions of motion equations are constructed. The influence of viscosity on the mixing layer evolution is investigated by performing a numerical experiment for a flow with different viscosities in the layers and for a flow with always zero viscosity. It is shown that viscosity has a significant influence on the flow evolution.