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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017 Number 1, Pages 37–42 (Mi vmumm42)
Mechanics

Homogenized equations in a Hele-Shaw cell: a model with stratification

O. A. Logvinov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: An averaged model of viscous fluid displacement from a Hele-Shaw cell with consideration of the transverse stratification of flow between the cell's plates is proposed.

Key words: Hele-Shaw cell, stratified flow, averaged Navier–Stokes equations.

UDC: 532.546

Received: 27.05.2015


 English version: Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2017, 72:1, 1–6

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© Steklov Math. Inst. of RAS, 2026