Finite-amplitude Rayleigh- Bénard convection for weakly shear thinning fluids

Albaalbaki, Bashar; Khayat, Roger E.

doi:10.1088/1742-6596/137/1/012024

Cited by 3 publications

(1 citation statement)

References 24 publications

(27 reference statements)

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“…Riahi [4], Eltayeb [5], Rosenblat [6], Renardy and Renardy [7], Martinez-Mardones and Perez-Garcia [8], Khayat [9][10][11], Park and Lee [12,13], Mardones et al [14], Park and Ryu [15], Siddheshwar and Srikrishna [16], Abu-Ramadan et al [17], Li and Khayat [18] and Albaalbaki and Khayat [19] studied nonlinear convection/chaos/pattern selection in different viscoelastic liquids. Many of the above nonlinear works consider only the most minimal mode from the Fourier expansion of the governing equations.…”

Section: Introductionmentioning

confidence: 99%

Effect of time-periodic vertical oscillations of the Rayleigh–Bénard system on nonlinear convection in viscoelastic liquids

Siddheshwar

Sekhar²,

Jayalatha³

2010

Journal of Non-Newtonian Fluid Mechanics

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Section: Introductionmentioning

confidence: 99%

Effect of time-periodic vertical oscillations of the Rayleigh–Bénard system on nonlinear convection in viscoelastic liquids

Siddheshwar

Sekhar²,

Jayalatha³

2010

Journal of Non-Newtonian Fluid Mechanics

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Pattern selection in the thermal convection of non-Newtonian fluids

Albaalbaki

Khayat

2011

J. Fluid Mech.

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The thermogravitational instability in a fluid layer of a non-Newtonian medium heated from below is investigated. Linear and weakly nonlinear analyses are successively presented. The fluid is assumed to obey the Carreau–Bird model. Although the critical threshold is the same as for a Newtonian fluid, it is found that non-Newtonian fluids can convect in the form of rolls, squares or hexagons, depending on the shear-thinning level. Similar to Newtonian fluids, shear-thickening fluids convect only in the form of rolls. The stability of the convective steady branches is carried out to determine under which specific conditions a pattern is preferred. The influence of the rheological and physical parameters is examined and discussed in detail.

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Thermal convection of viscoelastic shear-thinning fluids

Albaalbaki¹,

Khayat²,

Ahmed³

2016

Fluid Dyn. Res.

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The Rayleigh-Bénard convection for non-Newtonian fluids possessing both viscoelastic and shear-thinning behaviours is examined. The Phan-Thien-Tanner (PTT) constitutive equation is implemented to model the non-Newtonian character of the fluid. It is found that while the shear-thinning and viscoelastic effects could annihilate one another for the steady roll flow, presence of both behaviours restricts the roll stability limit significantly compared to the cases when the fluid is either inelastic shear-thinning or purely viscoelastic with constant viscosity.

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Finite-amplitude Rayleigh- Bénard convection for weakly shear thinning fluids

Cited by 3 publications

References 24 publications

Effect of time-periodic vertical oscillations of the Rayleigh–Bénard system on nonlinear convection in viscoelastic liquids

Effect of time-periodic vertical oscillations of the Rayleigh–Bénard system on nonlinear convection in viscoelastic liquids

Pattern selection in the thermal convection of non-Newtonian fluids

Thermal convection of viscoelastic shear-thinning fluids

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