The basic Darcy, Forchheimer, and Brinkman models of flow in porous media are described in Straughan (2008, pages 10-14). Flows of Navier–Stokes–Voigt and Kelvin–Voigt fluids in porous media are discussed in Straughan (2025b).We begin here with a fundamental model of thermal convection in a Brinkman–Darcy porous medium which is saturated by a Navier–Stokes–Voigt fluid. The equations for this have form

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Oskolkov Equations in Porous Media

  • Brian Straughan

摘要

The basic Darcy, Forchheimer, and Brinkman models of flow in porous media are described in Straughan (2008, pages 10-14). Flows of Navier–Stokes–Voigt and Kelvin–Voigt fluids in porous media are discussed in Straughan (2025b).We begin here with a fundamental model of thermal convection in a Brinkman–Darcy porous medium which is saturated by a Navier–Stokes–Voigt fluid. The equations for this have form