Convection in a Horizontal Porous Layer with Vertical Pressure Gradient Saturated by a Power-Law Fluid

Brandão, Pedro Vayssière; Celli, Michele; Barletta, Antonio; Alves, Leonardo Santos de Brito

doi:10.1007/s11242-019-01328-5

Cited by 5 publications

(2 citation statements)

References 17 publications

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“…[12][13][14][15][16][17] Further papers that deal with the viscous dissipation effect or different boundary conditions can be examined in Brandao and colleagues. [18][19][20][21] More details concerning the heat transfer in porous media saturated by different non-Newtonian fluid models can be seen in Shoney's book. 22 All the relevant studies for thermoconvective instability using a power law fluid have been analyzed under the Darcy flow.…”

Section: Introductionmentioning

confidence: 99%

“…A review of buoyancy‐driven instability of non‐Newtonian fluids in horizontal or vertical porous configuration can be found in Lazzari and colleagues 12–17 . Further papers that deal with the viscous dissipation effect or different boundary conditions can be examined in Brandao and colleagues 18–21 . More details concerning the heat transfer in porous media saturated by different non‐Newtonian fluid models can be seen in Shoney's book 22 .…”

Section: Introductionmentioning

confidence: 99%

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Onset of instability in Darcy–Forchheimer porous layer with power‐law saturating fluid

EL Fakiri,

Lagziri,

Lahlaouti

et al. 2024

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The paper investigates the effects of the Forchheimer term (form drag) and vertical pressure gradient on the buoyancy‐induced instability of power‐law saturating fluid in a porous plane medium. Two isobaric permeable layers are assumed to sandwich the horizontal porous plane. In the meantime, Dirichlet and Neumann equations are the thermal boundary conditions considered for the lower and upper layers. A base flow developed analytically via the governing equations is just in function of the Péclet number , with no dependence on the characteristic parameter of the power law fluid. A linear stability analysis consists of substituting a base flow with a small perturbation into the governing equations leads to a four‐order eigenvalue problem. An analytical solution is performed for the asymptotic cases of an infinite wavelength. The Runge–Kutta solver is applied together with the shooting technique to evaluate numerical solutions for the general case of nonnegligible wave numbers. Among the findings is the contribution of the Forchheimer term in the variation of the threshold Péclet number whose value can switch the wave numbers from zero to nonzero and increase the stability of the system.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Onset of instability in Darcy–Forchheimer porous layer with power‐law saturating fluid

EL Fakiri,

Lagziri,

Lahlaouti

et al. 2024

Heat Trans

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Thermal instability of a power‐law fluid‐saturated porous layer with an internal heat source and vertical throughflow

Reddy

Ragoju

2021

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The thermal instability of internally heated convection in a porous medium saturated by a power-law (PL) fluid is studied. The governing dimensionless equations are solved using the normal mode approach, which leads to an eigenvalue problem for the linear stability theory. The neutral curves are obtained for different prescribed values of the other physical parameters. The effect of the PL index, internal heat source parameter, and Peclet number on the onset of instability was analyzed. Furthermore, an analytical solution is obtained for the regime of small wave numbers by using asymptotic analysis.

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Onset of triply diffusive convection in a power-law fluid saturated porous layer

2022

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Convection in a Horizontal Porous Layer with Vertical Pressure Gradient Saturated by a Power-Law Fluid

Cited by 5 publications

References 17 publications

Onset of instability in Darcy–Forchheimer porous layer with power‐law saturating fluid

Onset of instability in Darcy–Forchheimer porous layer with power‐law saturating fluid

Thermal instability of a power‐law fluid‐saturated porous layer with an internal heat source and vertical throughflow

Onset of triply diffusive convection in a power-law fluid saturated porous layer

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