Thermal Instability in a Layer of Couple Stress Nanofluid Saturated Porous Medium

Chand, Ramesh; Rana, G. C.; Yadav, Dhananjay

doi:10.1515/jtam-2017-0005

Cited by 27 publications

(17 citation statements)

References 41 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%

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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“…1. The scientific explanation of such a bearing framework requires a few suspicions [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]26] of the porous layer and hydrodynamic nano-oil film. These are given underneath.…”

Section: Mathematical Evaluationmentioning

confidence: 99%

“…The viscosity model of nano-fluid was first evolved by Einstein in 1956. From that point forward, this model was improved a few times by the various analysts [1][2][3][4][5][6][7][8][9][10]. At last, in 2007, the improved Krieger-Dougherty viscosity model of nano-fluid was expressed as follows:…”

Section: Mathematical Evaluationmentioning

confidence: 99%

“…[7,8] revealed that the steadiness and load-bearing limit of journal bearing are widely improved by the utilization of a nano-oil. Binu et al [9] recommended that the TiO 2 nanoparticles added in base lube oil improve the load-bearing limit of bearing. The modified model of the viscosity of Krieger-Dougherty is applied for stochastic modelling of such issue and furthermore illuminated by utilizing a numerical system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nano-fluid lubrication of single-layered porous hydrostatic bearing: a theoretical approach

Bhattacharjee

Chakraborti

Choudhuri

2020

J Braz. Soc. Mech. Sci. Eng.

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A theoretical framework of single-layered PHB (porous hydrostatic bearing) lubricated by nano-oil has been developed here. The impact of nano-oil on the presentation of said hydrostatic bearing has been concentrated with the assistance of modified Darcy's law and distinctive boundary conditions. The different nanoparticles are utilized as an added substance of conventional lubricants to upgrade its consistency. The statement of dimensionless exhibition attributes of the researched bearing has been determined by utilizing the modified Krieger-Dougherty viscosity model of nano-fluid and modified Darcy's flow model. The outcomes uncovered that the exhibition qualities are fundamentally improved with the utilization of nano-lube oil as contrasted and the equivalent of other Newtonian and micropolar fluids. Thus, the present investigation is validated with perfect covenant.

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Thermal Instability in a Layer of Couple Stress Nanofluid Saturated Porous Medium

Cited by 27 publications

References 41 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

Nano-fluid lubrication of single-layered porous hydrostatic bearing: a theoretical approach

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