On the modelling of thermal convection in porous media through rate-type equations

DOI10.1007/s11565-024-00492-xMaRDI QIDQ6545031

Angelo Morro

Publication date: 29 May 2024

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

zbMATH Keywords

entropyrelaxationheat fluxClausius-Duhem inequalityobjectivitythermodynamic consistencycompressible viscous fluidmixture theorystress constitutive equation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Thermodynamics of continua (80A17) Free convection (76R10) Three or more component flows (76T30) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Continuous dependence on initial-time and spatial geometry in generalized heat conduction
• Ueber die Wärmeleitung der Flüssigkeiten bei Berücksichtigung der Strömungen in Folge von Temperaturdifferenzen.
• The onset of Darcy-Brinkman convection in a porous layer: An asymptotic analysis
• A thermodynamic theory of mixtures of fluids
• Bidispersive thermal convection with relatively large macropores
• Analysis of the Brinkman equation as a model for flow in porous media
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
• Thermal convection in a Brinkman-Darcy-Kelvin-Voigt fluid with a generalized Maxwell-Cattaneo law
• Mathematical Modelling of Continuum Physics

Related Items (1)

Stability problems with generalized Navier-Stokes-Voigt theories

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