{"title":"EQUILIBRIUM MODEL OF THE MIXING LAYER IN SHEAR FLOW OF A STRATIFIED FLUID","authors":"V. Yu. Liapidevskii, A. A. Chesnokov","doi":"10.1134/S0021894424030040","DOIUrl":null,"url":null,"abstract":"<p>A mathematical model is proposed that describes the formation of internal hydraulic jumps and the mixing of codirectional flows of an ideal stratified fluid in the Boussinesq approximation. The model is based on a three-layer representation of the flow taking into account the entrainment of fluid from the outer layers into the intermediate vortex layer and is represented as a system of inhomogeneous conservation laws. The rate of entrainment is given by the equilibrium condition within the framework of a more general model for the evolution of the mixing layer. The velocity of propagation of disturbances and the concepts of subcritical and supercritical flows are formulated. It is shown that the model is suitable for describing flow mixing and splitting in deep-sea currents. Solutions were constructed that correspond to the flow around an obstacle with the formation of an internal hydraulic jump and a region of intense mixing. The results of numerical simulation were shown to be in good agreement with experimental data.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 3","pages":"427 - 438"},"PeriodicalIF":0.5000,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mechanics and Technical Physics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0021894424030040","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
A mathematical model is proposed that describes the formation of internal hydraulic jumps and the mixing of codirectional flows of an ideal stratified fluid in the Boussinesq approximation. The model is based on a three-layer representation of the flow taking into account the entrainment of fluid from the outer layers into the intermediate vortex layer and is represented as a system of inhomogeneous conservation laws. The rate of entrainment is given by the equilibrium condition within the framework of a more general model for the evolution of the mixing layer. The velocity of propagation of disturbances and the concepts of subcritical and supercritical flows are formulated. It is shown that the model is suitable for describing flow mixing and splitting in deep-sea currents. Solutions were constructed that correspond to the flow around an obstacle with the formation of an internal hydraulic jump and a region of intense mixing. The results of numerical simulation were shown to be in good agreement with experimental data.
期刊介绍：
Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.
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