Numerical study of natural convection heat transfer with variable viscosity and thermal radiation from a cone and wedge in porous media

Al-Harbi, Saleh M.

doi:10.1016/j.amc.2004.10.093

Cited by 20 publications

(7 citation statements)

References 14 publications

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“…Hydrodynamic convection flow over a wedge and cone filled non-Darcy porous layer is discussed by Chamkha [11] and highlighted that the heat source or sink is dominating the temperature profiles. Al-Harbi [12] extended this by choosing the variable viscidness and radiation with numerically. With this they decided that thermal radiation improves the temperature and velocity fields.…”

Section: Introductionmentioning

confidence: 99%

Chemically reacting Carreau fluid in a suspension of convective conditions over three geometries with Cattaneo-Christov heat flux model

Raju¹,

Sandeep²,

Lorenzini³

et al. 2018

MMEP

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In this picture, we explored the chemically reacting radiative nanofluid flow over three geometries (plate or wedge and cone) in the presence of Cattaneo-Christov heat flux model. In this we used slip type of Buongiorno nanofluid model used. Numerical solutions are displayed with help of graphs and tables. In addition, the systems of nonlinear ordinary differential equations (ODEs) are solved by using the Runge-Kutta Feldberg method (RKFM). We also validated the current results and found a satisfactory agreement. We presented results for the flow over a wedge, cone and plate cases. We perceived that the thermal, momentum and concentration boundary layers are non-uniform for these three cases. For manufacturing needs, we analyzed the heat and mass transfer rates of the wedge, cone and plate cases and found that due to the dominance of buoyancy force the local Nusselt number is high in flow over cone when compared with the plate and wedge case. From this result we can realize that for heat enhancement processes the cone shaped particles are very helpful when compared with other plate and wedge.

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Section: Introductionmentioning

confidence: 99%

Chemically reacting Carreau fluid in a suspension of convective conditions over three geometries with Cattaneo-Christov heat flux model

Raju¹,

Sandeep²,

Lorenzini³

et al. 2018

MMEP

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“…Laminar two-dimensional unsteady mixed-convection boundary-layer flow of a viscous incompressible fluid past a sharp wedge has been studied by Hossain et al (2006). The effect of thermal radiation on the non-Darcy natural convection flow over a vertical cone and wedge embedded in a porous medium with variable viscosity and wall mass flux was investigated numerically by El-Harbi (2005).…”

Section: Introductionmentioning

confidence: 99%

Unsteady mixed convection boundary layer flow along a symmetric wedge with variable surface temperature embedded in a saturated porous medium

Al-Harbi

Ibrahim

2015

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose – The purpose of this paper is to study laminar two-dimensional unsteady mixed-convection boundary-layer flow of a viscous incompressible fluid past a symmetric wedge embedded in a porous medium in the presence of the first and second orders resistances. Design/methodology/approach – The governing boundary-layer equations along with the boundary conditions are first converted into dimensionless form by a non-similar transformation, and then resulting system of coupled non-linear partial differential equations were solved by perturbation solutions for small dimensionless time until the second order. Numerical solutions of the governing equations are obtained employing the implicit finite-difference scheme in combination with the quasi-linearization technique. The obtained results will be compared with earlier papers on special cases of the problem to examine validity of the method of solution. Findings – The effects of various parameters on the fluid velocity and fluid temperature as well as the wall heat transfer rate and skin-friction coefficient are presented graphically and in tabulated form. Originality/value – The study of heat transfer in porous media has been attracted the attention of many researchers in recent times due to the utmost importance in many different applications, including physical, geophysical and chemical applications. Also in different areas of engineering and modern purposes as oil refining, pollution of the air with poison gas, the process of mineral extraction, the design water tanks and study volcanic activity. Also has many uses in medicine, modern science, food products, textiles and ion exchange.

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“…Further, Yih [7] has presented non-similar solutions to study the heat transfer characteristics in mixed convection about a cone in saturated porous media. The effect of thermal radiation on the non-Darcy natural convection flow over a vertical cone and wedge embedded in a porous medium with variable viscosity and wall mass flux was investigated numerically by EL-Harby [8]. All these studies pertain to steady flows.…”

Section: Introductionmentioning

confidence: 99%

Self-Similar Solution of Heat and Mass Transfer of Unsteady Mixed Convection Flow on a Rotating Cone Embedded in a Porous Medium Saturated with a Rotating Fluid

Al-Harbi¹

2011

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A self-similar solution of unsteady mixed convection flow on a rotating cone embedded in a porous medium saturated with a rotating fluid in the presence of the first and second orders resistances has been obtained. It has been shown that a self-similar solution is possible when the free stream angular velocity and the angular velocity of the cone vary inversely as a linear function of time. The system of ordinary differential equations governing the flow has been solved numerically using an implicit finite difference scheme in combination with the quasi-linearization technique. Both prescribe wall temperature and prescribed heat flux conditions are considered. Numerical results are reported for the skin friction coefficients, Nusselt number and Sherwood number. The effect of various parameters on the velocity, temperature and concentration profiles are also presented here

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Numerical study of natural convection heat transfer with variable viscosity and thermal radiation from a cone and wedge in porous media

Cited by 20 publications

References 14 publications

Chemically reacting Carreau fluid in a suspension of convective conditions over three geometries with Cattaneo-Christov heat flux model

Chemically reacting Carreau fluid in a suspension of convective conditions over three geometries with Cattaneo-Christov heat flux model

Unsteady mixed convection boundary layer flow along a symmetric wedge with variable surface temperature embedded in a saturated porous medium

Self-Similar Solution of Heat and Mass Transfer of Unsteady Mixed Convection Flow on a Rotating Cone Embedded in a Porous Medium Saturated with a Rotating Fluid

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