Abstract: Two-layer flow of a density-stratified fluid with mass transfer between the layers is considered. In the Boussinesq approximation, the equations of motion are reduced to a homogeneous quasilinear system of partial differential equations of mixed type. The flow parameters in the intermediate mixed layer are determined from the equilibrium conditions in a more general model of three-layer flow of a miscible fluid. In particular, the equilibrium conditions imply the constancy of the interlayer Richardson number in velocity-shift flows. A self-similar solution to the problem of breakdown of an arbitrary discontinuity (the lock-exchange problem) in the domain of hyperbolicity of the system under consideration is constructed. The transcritical flow regimes over a local obstacle are studied and the conditions under which the obstacle determines the upstream flow are determined. A comparison of steady-state and time-dependent solutions with the solutions obtained for the original three-layer models of miscible fluid flow is carried out.

Cite: Liapidevskii V.Y.
Two-Layer Equilibrium Model of Miscible Inhomogeneous Fluid Flow
Fluid Dynamics. 2024. V.59. N4. P.709-722. DOI: 10.1134/s0015462824603395 WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:

Mar 22, 2024

Identifiers:

Web of science:	WOS:001352342800009
Scopus:	2-s2.0-85209096383
Elibrary:	74529413
OpenAlex:	W4404124385

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