Effect of Variable Viscosity on Free Convective Heat Transfer over a Non-isothermal Body of Arbitrary Shape in a Non-Newtonian Fluid Saturated Porous Medium with Internal Heat Generation

Bagai, Shobha; Nishad, Chandrashekhar

doi:10.1007/s11242-012-0004-2

Cited by 6 publications

(6 citation statements)

References 11 publications

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“…Cheng [14], Rashad et al [49], Mahmoud [32], Huang [34], Chamkha et al [52], Bagai and Nishad [38], Bagai [36], and Kuznetsov and Nield [54]. Table 1 compares the values of Table 2 compares the values of (a)…”

Section: Resultsmentioning

confidence: 99%

“…Kairi et al [37] presented the effect of viscous dissipation on natural convection in a non-Darcy porous medium saturated with non-Newtonian fluid of variable viscosity. Bagai and Nishad [38] extended the work of Bagai [36] by analyzing the effect of variable viscosity on free convective heat transfer over a non-isothermal body with an arbitrary shape in a non-Newtonian fluid saturated porous medium considering internal heat generation. They observed that the heat transfer rate increases for a less viscous fluid.…”

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

confidence: 99%

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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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Section: Resultsmentioning

confidence: 99%

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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“…Equations (8) and (9) are coupled non-linear differential equations for f and θ with boundary conditions given by (10) and (11) where a is defined by (12). Numerical solutions to these coupled non-linear boundary value problem can be obtained by using shooting method technique.…”

Section: Resultsmentioning

confidence: 99%

“…Heat transfer analysis for free convection along horizontal flat plate with a variable wall temperature in a porous medium saturated with non-Newtonian fluid was studied by Gorla and Kumari [8]. Solutions and results for flow across heated curved surfaces and arbitrary shaped bodies are also available in many papers-Grosan et al [9], Nakayama and Koyama [10], Bagai and Nishad [11] to mention a few.…”

Section: Introductionmentioning

confidence: 99%

Similarity Solutions for Laminar Boundary Layer Flow of Darcian Fluid over Horizontal Plate with a Convective Boundary Condition

Chaudhary¹,

Purohit²,

Garg³

2016

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This paper considers the problem of hydrodynamics and thermal boundary layers of Darcy flow over horizontal surface embedded in a porous medium. The solutions of such problems for the cases of uniform surface temperature and variable surface temperature have been studied and analysed in many papers. This paper, however, attempts to find similarity solutions for the Darcy flow problem with a convective boundary condition at the plate surface. It is found that the solution is possible when the heat transfer coefficient is proportional to x −2/3. The numerical solutions thus obtained are analyzed for a range of values of the parameter characterizing the hot fluid convection process. Analytical expressions are provided for local surface heat flux and total surface heat transfer rate while the flow variables are discussed graphically.

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“…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%

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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Effect of Variable Viscosity on Free Convective Heat Transfer over a Non-isothermal Body of Arbitrary Shape in a Non-Newtonian Fluid Saturated Porous Medium with Internal Heat Generation

Cited by 6 publications

References 11 publications

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

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

Similarity Solutions for Laminar Boundary Layer Flow of Darcian Fluid over Horizontal Plate with a Convective Boundary Condition

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

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