Numerical simulation of thermal convection of a viscoelastic fluid in a porous square box heated from below

DOI10.1063/1.2800358zbMath1182.76257OpenAlexW1982381658MaRDI QIDQ5303540

Zhi Yong Zhang, Ceji Fu, Wen-Chang Tan

Publication date: 18 March 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2800358

zbMATH Keywords

convectionbifurcationnon-Newtonian flowflow instabilityfluid oscillationsflow through porous medialeast mean squares methods

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (10)

Linear and nonlinear stability analyses of thermal convection for Oldroyd-B fluids in porous media heated from below ⋮ Thermal convection of a viscoelastic fluid in an open-top porous layer heated from below ⋮ Three-dimensional absolute and convective instabilities in mixed convection of a viscoelastic fluid through a porous medium ⋮ Stability of thermal convection of an Oldroyd-B fluid in a porous medium with Newtonian heating ⋮ Analytic solution for MHD rotating flow of a second grade fluid over a shrinking surface ⋮ Decay of potential vortex for a viscoelastic fluid with fractional Maxwell model ⋮ Exact solutions for some oscillating motions of a fractional Burgers' fluid ⋮ The Rayleigh-Stokes problem for an edge in a viscoelastic fluid with a fractional derivative model ⋮ Effects of slip on the non-linear flows of a third grade fluid ⋮ Starting solutions for a viscoelastic fluid with fractional Burgers' model in an annular pipe

Cites Work

• Derivation of macroscopic filtration law for transient linear viscoelastic fluid flow in porous media
• On modelling the multidimensional coupled fluid flow and heat or mass transport in porous media.
• The role of porous media in modeling flow and heat transfer in biological tissues.
• Thermal instability of viscoelastic fluids in porous media.
• Thermal instability of viscoelastic fluids in horizontal porous layers as initial value problem
• Stokes’ first problem for an Oldroyd-B fluid in a porous half space
• Route to chaos in porous-medium thermal convection
• Thermoconvective instabilities in a horizontal porous layer
• Plume formation and resonant bifurcations in porous-media convection
• High-Rayleigh-number convection in a fluid-saturated porous layer
• Characteristics of high Rayleigh number two-dimensional convection in an open-top porous layer heated from below
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