Influence of temperature dependent viscosity and internal heating on the onset of convection in porous enclosures saturated with viscoelastic fluid

Yadav, Dhananjay; Maqhusi, Manal

doi:10.1002/apj.2514

Cited by 18 publications

(11 citation statements)

References 61 publications

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“…Research on viscoelastic liquids is done by various researchers. [13][14][15][16][17][18][19][20][21][22][23][24] Kayodé and Khayat 25 compared the solutions of Newtonian and non-Newtonian liquids and it was noted that the effect of elasticity in the liquid is found to be greater for higher Rayleigh numbers. Siddheshwar et al 26 concluded that the Maxwell liquids are comparatively more stable than other liquids in the study.…”

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confidence: 99%

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

2021

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The influence of sinusoidal (trigonometric cosine [TC]) and nonsinusoidal waveforms (square, sawtooth, and triangular) of internal heat source modulation on triple diffusive convection in viscoelastic liquids is investigated. An Oldroyd-B type model is taken into account for viscoelastic liquids. Nonlinear analysis is carried out using a truncated representation of the Fourier series. To analyze the heat and mass transfer over a triply diffusive liquid layer, expressions for average Nusselt and average Sherwood numbers are derived using 8-mode generalized Lorenz equations. The transient behavior of Nusselt and Sherwood numbers is analyzed on different parameters of the problem. From the results, it is found that the internal heat source enhances the heat transfer and diminishes the mass transfer while the heat sink diminishes the heat transfer and enhances the mass transfer. The results for respective waveforms are obtained for each parameter and it is found that the maximum heat and mass transfer occurs due to TC waveform. The limiting cases of viscoelastic liquids (Newtonian, Oldroyd-B, Maxwell, and Rivlin-Ericksen) have been tabulated and corresponding results for each of the waveforms on heat and mass transfer have been shown.

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confidence: 99%

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

2021

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“…We now turn to the very small perturbations on the basic flow. Therefore, after small perturbations, the variables acquire the form as 38–41

boldv = v_{b} + ε_{1} v', θ = θ_{b} + ε_{1} θ', P = P_{b} + ε_{1} P' .

…”

Section: Perturbed Equationsmentioning

confidence: 99%

Influence of anisotropy on the Jeffrey fluid convection in a horizontal rotary porous layer

Yadav

2021

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Stability analysis of thermal convection for a Jeffrey fluid with rotation in an anisotropic porous medium is examined utilizing a modified Jeffrey–Darcy model. The linear stability theory is applied to examine how the Jeffrey parameter, rotation parameter, and anisotropic parameters affect the convective motion. It is observed that the rotation and the anisotropic in the thermal diffusivity act to delay the start of Jeffery fluid convection, while the Jeffery parameter and the anisotropic in the permeability show a dual effect in the presence of rotation. The extent of the convection cell diminishes with rotation and Jeffery parameters, while it augments with the thermal anisotropy parameter. Also, some previous outcomes are regained as special cases of the current analysis.

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“…where primes indicate the perturbed quantities. Equation ( 10) is substituted back into Equations ( 5) to (8), and the pressure term is eliminated from the momentum equation by operating curl and a perturbation stream function ψ x z t ′( , , ) with…”

Section: Smmentioning

confidence: 99%

“…The thermal instability in a horizontal layer of a couple stress nanofluid in a porous medium is investigated by Chand et al 6 Yadav and Wang 7 analyzed the effect of temperature‐dependent internal heat source on the onset of convection and on the heat transfer in a porous layer saturated by a non‐Newtonian nanofluid. The combined influence of temperature‐dependent viscosity and internal heat source on the onset of convection in porous enclosures saturated by a viscoelastic fluid is studied by Yadav and Maqhusi 8 . Besides, double‐diffusive convection in a layer of couple stress fluid saturating a porous medium has also been investigated 9‐17 .…”

Section: Introductionmentioning

confidence: 99%

“…The combined influence of temperature-dependent viscosity and internal heat source on the onset of convection in porous enclosures saturated by a viscoelastic fluid is studied by Yadav and Maqhusi. 8 Besides, double-diffusive convection in a layer of couple stress fluid saturating a porous medium has also been investigated. [9][10][11][12][13][14][15][16][17] Yadav et al 18 discussed the thermal instability in a rotating porous layer saturated by a non-Newtonian nanofluid with thermal conductivity and viscosity variation.…”

Section: Introductionmentioning

confidence: 99%

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Couple stress effects on the stability of three‐component convection‐diffusion in a porous layer

Raghunatha

Shivakumara

Pallavi³

2020

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In this study, the stability (linear and weak nonlinear) of triple‐diffusive convection in a couple stress fluid‐saturated porous layer has been studied. A normal mode analysis yields an exact dispersion equation of fourth degree, and the criterion for the onset of stationary and oscillatory convection is obtained accordingly. The numerical computations are carried out for diffusivity elements experimentally determined for an aqueous NaCl‐KCl‐Sucrose system. Contrary to the double‐diffusive couple stress fluid system, it is found that (i) oscillatory convection occurs even if the diffusivity ratios are greater than unity and (ii) a disconnected heart‐shaped oscillatory neutral curve exists for certain choices of physical parameters, demonstrating the requirement of three critical values of Darcy‐Rayleigh number to specify the linear instability criteria. The impact of a couple stress parameter on some of these unusual behaviors is emphasized. The cubic Landau equations are derived by performing a weak nonlinear stability analysis and the stability of stationary and oscillatory bifurcating solutions is discussed. The heat and mass transfer for stationary and oscillatory convection modes is presented, and the influence of the couple stress parameter on the same is analyzed.

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Influence of temperature dependent viscosity and internal heating on the onset of convection in porous enclosures saturated with viscoelastic fluid

Cited by 18 publications

References 61 publications

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

Influence of anisotropy on the Jeffrey fluid convection in a horizontal rotary porous layer

Couple stress effects on the stability of three‐component convection‐diffusion in a porous layer

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