Abstract: A one-dimensional evolutionary system of equations is proposed that describes the motion of a thin bottom gravity current in a submerged environment of a lighter fluid in the Boussinesq approximation, taking into account the development of shear instability and the formation of an intermediate mixing layer. For hydrostatic flows, disturbance propagation velocities are determined and the concept of subcritical (supercritical) flow is formulated. An unsteady problem of the mixing layer is considered. Evidently, a monotonic or an oscillating mixing layer as a function of the Froude number of the incoming flow is formed. In the first case of a monotonic layer, maximum entrainment is attained and a stationary solution is determined over a finite interval. Because the pressure in the lower layer is nonhydrostatic, steady solutions are constructed in the form of second-mode solitary waves adjacent to a given constant flow. Unsteady computations of the formation and propagation of largeamplitude bottom waves are performed.

Cite: Chesnokov A.A. , Tarasov S.K.
Wave regimes and mixing in bottom gravity currents
Journal of Applied Mechanics and Technical Physics. 2025. V.66. N4. P.683-696. DOI: 10.1134/S0021894425700257

Original: Чесноков А.А. , Тарасов С.К.
Волновые режимы течения и перемешивание в придонных гравитационных потоках
Прикладная механика и техническая физика. 2025. Т.66. №4. С.58–73. DOI: 10.15372/PMTF202415607

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