Viscosity and Fluid Suction/Injection Effects on Free Convection Flow From a Vertical Plate in a Porous Medium Saturated With a Pseudoplastic Fluid

Achemlal, Driss; Sriti, Mohammed; Haroui, Mohamed El

doi:10.1615/.2014011207

Cited by 2 publications

(3 citation statements)

References 9 publications

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“…This article extends our work Achemlal et al (2014) and that of Moorthy and Senthilvadivu (2011) for dual-diffusion free convection along a vertical flat plate embedded in Darcy porous medium saturated with non-Newtonian fluids for three thermal states of the surface and a constant concentration. Numerical results of interest, such as the local Nusselt and Sherwood numbers, temperature, and concentration distributions, are presented at different values of the controlling parameters.…”

Section: Introductionsupporting

confidence: 83%

“…The effect of variable viscosity on free convection flow over a vertical flat plate embedded in a porous media saturated with non-Newtonian power law fluid in the presence of internal heat generation has been examined by Bagai and Nishad (2012) and Achemlal et al (2014). Here, the effect of temperature dependent viscosity on heat transfer rates is investigated and it is shown that the heat transferred is more for a less viscous fluid.…”

Section: Introductionmentioning

confidence: 99%

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Solute Transport and Heat Transfer in Single-Phase Flow in Porous Medium With Generative/Destructive Chemical Reaction and Variable Viscosity Impacts

Achemlal¹,

Sriti²,

Elharoui³

et al. 2017

Frontiers in Heat and Mass Transfer

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In this paper we study the combined free convection, due to thermal and species diffusion, of a viscous incompressible non Newtonian fluid over a vertical plate embedded in a saturated porous medium with three thermal states of the surface and a constant concentration in the presence of a chemical reaction. The effect of temperature dependent viscosity is also investigated. The Ostwald-de Waele power-law model is used to characterize the non-Newtonian fluid behavior. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a unique similarity transformation and the resulting coupled differential equations are then solved numerically by a computational program based on the fifth order Runge-Kutta scheme with shooting iteration technique. The results are illustrated and the physical aspect is discussed for temperature and concentration profiles, as well as the Nusselt and Sherwood numbers for various values of the parameters, which govern the problem.

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Section: Introductionsupporting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Solute Transport and Heat Transfer in Single-Phase Flow in Porous Medium With Generative/Destructive Chemical Reaction and Variable Viscosity Impacts

Achemlal¹,

Sriti²,

Elharoui³

et al. 2017

Frontiers in Heat and Mass Transfer

Self Cite

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“…They observed that the heat transfer rate increases for a less viscous fluid. The effects of viscosity and fluid suction/injection on free convection flow from a vertical plate in a porous medium saturated with a pseudo-plastic fluid were studied by Achemlal et al [39]. In the couple heat and mass transfer aspect, Cheng [40] examined nonsimilar boundary layer analysis of double-diffusive convection from a vertical truncated cone in a porous medium with variable viscosity.…”

Section: Accepted Manuscript N O T C O P Y E D I T E Dmentioning

confidence: 99%

Nonlinear Radiation and Variable Viscosity Effects on Free Convection of a Power-Law Nanofluid Over a Truncated Cone in Porous Media With Zero Nanoparticles Flux and Internal Heat Generation

Huang¹,

Yih²

2020

Journal of Thermal Science and Engineering Applications

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This study used numerical analysis to investigate the effects of non-linear radiation and variable viscosity on free convection of a power-law nanofluid over a vertical truncated cone in porous media with Rosseland diffusion approximation considering zero nanoparticles flux and internal heat generation. The internal heat generation is of an exponential decaying form and the viscosity of the fluid is assumed to follow Reynolds viscosity model. The surface boundary conditions of vertical truncated cone is maintained at the uniform wall temperature (UWT) and the zero nanoparticle flux (ZNF) to cause the results to be more realistic and useful. The nanofluid model considered the effects of Brownian motion and thermophoresis. The non-similar governing equations are obtained by using a suitable coordinate transformation and then solved by Keller box method (KBM). Comparisons with previously published work obtained good agreement. Graphical and tabular presentations of numerical data for the dimensionless temperature profile and the local Nusselt number were presented for main parameters: dimensionless streamwise coordinate, thermophoresis parameter, Lewis number, radiation parameter, surface temperature parameter, viscosity parameter, power-law index of the non-Newtonian fluid, internal heat generation coefficient. The local Nusselt number increased when the following parameters were increased: radiation parameter, surface temperature parameter, viscosity parameter, power-law index of the non-Newtonian fluid and dimensionless streamwise coordinate. In contrast, the local Nusselt number decreased when the following parameters were increased: internal heat generation coefficient, thermophoresis parameter, and Lewis number. Besides, the physical aspects of the problem are discussed in details.

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Viscosity and Fluid Suction/Injection Effects on Free Convection Flow From a Vertical Plate in a Porous Medium Saturated With a Pseudoplastic Fluid

Cited by 2 publications

References 9 publications

Solute Transport and Heat Transfer in Single-Phase Flow in Porous Medium With Generative/Destructive Chemical Reaction and Variable Viscosity Impacts

Solute Transport and Heat Transfer in Single-Phase Flow in Porous Medium With Generative/Destructive Chemical Reaction and Variable Viscosity Impacts

Nonlinear Radiation and Variable Viscosity Effects on Free Convection of a Power-Law Nanofluid Over a Truncated Cone in Porous Media With Zero Nanoparticles Flux and Internal Heat Generation

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