The effect of pulsating throughflow on the onset of magneto convection in a layer of nanofluid confined within a Hele-Shaw cell

Yadav, Dhananjay

doi:10.1177/0954408919836362

Cited by 40 publications

(19 citation statements)

References 48 publications

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“…They also proved that the stability of the scheme decreased with as augment in the internal heat source power. Some other related studies in various situations were made by Akbarzadeh, Yadav et al, Chand et al, Sheikholeslami et al, Umavathi et al, and Shivakumara et al…”

Section: Introductionmentioning

confidence: 95%

Numerical solution of the onset of Buoyancy‐driven nanofluid convective motion in an anisotropic porous medium layer with variable gravity and internal heating

Yadav

2020

Heat Trans

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The onset of buoyancy-driven convective motion in a nanofluid saturated anisotropic porous medium layer is examined numerically in the occurrence of uniform internal heat source under the variable gravity field.Three kinds of gravity force variation functions: (a) G(z) = −z (linear), (b) G(z) = −z 2 (parabolic), and (c) G(z) = −z 3 (cubic) are considered. Wide-range governing parameters impacts are inspected on the beginning of convective motion under the zero nanoparticle flux situation at the boundaries using the higher term Galerkin technique. It is established that the thermal anisotropy parameter η and the gravity variation parameter λ delay the arrival of convective motion, while the mechanical anisotropy parameter ξ, the internal heating parameter Hs, the nanoparticle Rayleigh-Darcy number R np , the modified diffusivity ratio NA nf , and the modified nanofluid Lewis number Le nf rapid the start of convective motion. The size of the convective cells reduces on raising the internal heating parameter Hs, while the gravity variation parameter λ, the mechanical anisotropy parameter ξ, the thermal anisotropy parameter η, the nanoparticle Rayleigh-Darcy number R np , the modified diffusivity ratio NA nf , and the modified nanofluid Lewis number Le nf amplify the dimension of the convective cells. It is also detected that the arrangement is more unstable for case (c), while it is more stable for case (a). K E Y W O R D Sanisotropic porous medium, convective instability, internal heating and variable gravity, nanofluids 1 | INTRODUCTION Anisotropy in porous medium plays in role due to asymmetric arrangement of porous matrix or fibers. Rock, soils, and fibrous insulating materials are good examples of anisotropic porous medium. Thermal convective motion in fluid-flooded anisotropic porous medium with different geometries and different configuration has been a topic of great attention by the scientific community in the earlier few decades due to their widespread uses in nature and engineering such as the pollutant transport in saturated soils, cooling of electronic devices, the underground disposal of nuclear discarded, heat exchangers, fuel drilling, nuclear and packed bed reactors, chemical and food processing, and so forth. 1-12 Different working fluid can be utilized for these systems but utilizing the nanoscale solid particles diffused in working fluids coined by Choi and Eastman, 13 which are called nanofluids, is the useful method to reduce the size and advance the performance of such arrangements by improving their heat transfer characteristics. [14][15][16][17][18] Nguyen et al 19 experimentally examined the heat transport characteristics of Al 2 O 3 -H 2 O nanofluid for relevance in a closed cooling structures such as microprocessors or other heated electronic devices. They observed a 40% enhanced in Nusselt number via Al 2 O 3 nanoparticles at 6.8% concentration when compared with water. Very recently, Yadav 20 studied the convective heat transport of nanofluids in porous enclosures and proved that the he...

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Section: Introductionmentioning

confidence: 95%

Numerical solution of the onset of Buoyancy‐driven nanofluid convective motion in an anisotropic porous medium layer with variable gravity and internal heating

Yadav

2020

Heat Trans

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“…Equations 21 and 22 are cracked using the Galerkin weighted residuals technique. 49,[53][54][55][56][57][58] Consequently, the unknown variablesψ andθ arê…”

Section: Linear Stability Investigationmentioning

confidence: 99%

“…Here,

\frac{d}{dz} \equiv D

. In the perturbed dimensionless term, the boundary conditions become

\overset{ψ}{true} = 0, \overset{θ}{true} = 0 at z = 0, 1 for 0 < x < 1 .

Equations and are cracked using the Galerkin weighted residuals technique 49,53–58 . Consequently, the unknown variables

\overset{ψ}{true}

and

\overset{θ}{true}

are

({}, \begin{array}{l} \overset{ψ}{true} \\ \overset{θ}{true} \end{array}) = \sum_{p = 1}^{N} ({}, \begin{array}{l} E_{p} {\overset{falsê}{ψ}}_{p} \\ F_{p} {\overset{falsê}{θ}}_{p} \end{array}) .

Here,

{\overset{falsê}{ψ}}_{p} = \sin italicpπz = {\overset{falsê}{θ}}_{p}

and, E p and F p are unidentified coefficients.…”

Section: Linear Stability Investigationmentioning

confidence: 99%

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

Yadav

Maqhusi

2020

Asia-Pacific J Chem Eng

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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 using linear and weak nonlinear stability theories. The enclosures are taken to be rectangular, square, and slender. For the viscoelastic fluid, the Oldroyd-B type model is used, whereas the Darcy's model is taken for porous medium. The linear theory based on normal mode technique is used to find the criteria for the onset of marginal and oscillatory convections, and weakly nonlinear analysis based on minimal representation of truncated Fourier series is considered to discuss the convective heat transport in the system. It is observed that the beginning of convection will be oscillatory only if the strain retardation parameter is not greater than the stress relaxation parameter. The influence of raising the viscosity variation parameter, the internal heating parameter, and the stress relaxation parameter is to fast the onset of convection and also boost the heat transmission through the porous enclosures, but an opposite tendency is identified by raising the strain retardation parameter and the heat capacity ratio. The heat transmission decreases with the aspect ratio for rectangular enclosure, whereas this outcome is revered for the slender enclosure.

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“…Gupta et al [27] examined the thermal instability in a layer of nanofluid under the appearance of an external magnetic field by applying the linear stability analysis. Yadav et al [28]studied the effect of an external magnetic field on the onset of natural convection in a nanofluid layer which was assumed to be electrically conducting.Recently, Yadav [29]studied the combined effect of both magnetic field and pulsating throughflow on convective instability in a nanofluid, and analyzed the impact of various significant parameters.Kolsi et al [30] investigated the effect of an applied magnetic field on the production of entropy in the case of the natural convection of a low Prandtl liquid metal in a cubic cavity.Maatki et al [31] examined the double diffusion convection in a cubic cavity teemed with the binary mixture subject to a magnetic field.Another interesting phenomena, known as mixed convection have its significance in various industrial applications like coating or continuous reheating furnaces, solidification of ingots, and float glass manufacturing [32]. A numerical investigation of the impact of an external magnetic field at the onset of nanofluid mixed convection heat transfer was conducted by Rashidi et al [33].…”

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confidence: 99%

The onset of magnetic nanofluid convection because of selective absorption of radiation

Mahajan

Sharma²

2021

JMES

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This article reports a linear stability analysis of the onset of convection stimulated by selective absorption of radiation in a horizontal layer of magnetic nanofluid (MNF) under the impact of an external magnetic field. The Chebyshev pseudospectral method is utilized to obtain the numerical solution for water-based magnetic nanofluids (MNFs). The confining boundaries of the magnetic nanofluid layer are considered to be rigid–rigid, rigid–free, and free–free. The results are derived for two different conditions, viz., when the system is heated from the below and when the system is heated from the above. It is observed that an increase in the value of the Langevin parameter , diffusivity ratio and a decrease in the value of nanofluid Lewis number , the parameter which represents the impact of selective absorption of radiation and modified diffusivity ratio delays the onset of MNF convection for both the two configurations. Moreover, as the value of concentration Rayleigh number increases, the convection commences easily when the system is heated from the below, whereas the onset of MNF convection gets delayed as the system is heated from the above.

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The effect of pulsating throughflow on the onset of magneto convection in a layer of nanofluid confined within a Hele-Shaw cell

Cited by 40 publications

References 48 publications

Numerical solution of the onset of Buoyancy‐driven nanofluid convective motion in an anisotropic porous medium layer with variable gravity and internal heating

Numerical solution of the onset of Buoyancy‐driven nanofluid convective motion in an anisotropic porous medium layer with variable gravity and internal heating

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

The onset of magnetic nanofluid convection because of selective absorption of radiation

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