Numerical Comparative Study of Compressible and Incompressible Models for Predicting Combined Natural Convection and Radiation in Participating Medium [PDF]
Journal of Applied Fluid MechanicsNatural convection coupled with volumetric radiation governs heat transfer in high-temperature systems, yet modeling relies heavily on the Boussinesq approximation, limited to weak density variations.
N. Rachedi, M. Guellal, M. Bouafia
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Capturing the baroclinic effect in non-Boussinesq gravity currents
Theoretical and Applied Mechanics Letters, 2022 Direct numerical simulations of two-dimensional gravity currents with small and medium density variations are performed using different non-Boussinesq buoyancy approximations.
Shengqi Zhang, Zhenhua Xia
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Adomian Decomposition and Successive Approximation Methods for Solving Kaup-Boussinesq System
Science Journal of University of Zakho, 2019 The Kaup-Boussinesq system has been solved numerically by using two methods, Successive approximation method (SAM) and Adomian decomposition method (ADM).
Saad A. Manaa, Nergiz M. Mosa
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Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 1, Reference solutions [PDF]
, 2005 There are very few reference solutions in the literature on non-Boussinesq natural convection flows. We propose here a test case problem which extends the well-known De Vahl Davis differentially heated square cavity problem to the case of large ...
Catherine Weisman +22 more
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The Miles Theorem and New Particular Solutions to the Taylor--Goldstein Equation [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The linear stability problem of steady-state plane-parallel shear flows of a continuously stratified inviscid incompressible fluid in the gravity field between two immovable impermeable solid planes is studied in and without the Boussinesq approximation.
A.A. Gavrilieva +2 more
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Solvability of the Boussinesq Approximation for Water Polymer Solutions
Mathematics, 2019 We consider nonlinear Boussinesq-type equations that model the heat transfer and steady viscous flows of weakly concentrated water solutions of polymers in a bounded three-dimensional domain with a heat source.
Mikhail A. Artemov +1 more
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Dynamic equilibria of a nonisothermal fluid
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 In this paper, stationary dynamic equilibria of the rotating mass of a nonisothermal fluid are discussed within the accuracy limits of the Boussinesq approximation.
Evgeny Yu Prosviryakov
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A Non-Hydrostatic Depth-Averaged Model for Hydraulically Steep Free-Surface Flows
Fluids, 2017 This study describes the results of a numerical investigation aimed at developing and validating a non-hydrostatic depth-averaged model for flow problems where the horizontal length scales close to flow depth.
Yebegaeshet T. Zerihun
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 This article discusses the solvability of an overdetermined system of heat convection equations in the Boussinesq approximation. The Oberbeck-Boussinesq system of equations, supplemented by an incompressibility equation, is overdetermined.
Natal'ya Vladimirovna Burmasheva +1 more
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Results in Engineering, 2021 In this paper, the transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body has been studied numerically.
Md Hasanuzzaman +2 more
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