Non-Darcy unsteady mixed convection flow near the stagnation point on a heated vertical surface embedded in a porous medium with thermal radiation and variable viscosity

Hassanien, I. A.; Alarabi, Taghreed H.

doi:10.1016/j.cnsns.2008.02.011

Cited by 23 publications

(9 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Kumaran et al [19] studied the problem of MHD boundary layer flow of an electrically conducting fluid over a stretching and permeable sheet with injection/suction through the sheet. The problem of unsteady mixed convection boundary layer flow near the stagnation point on a heated vertical plate embedded in a porous medium was presented by Hassanien and Al Arabi [20]. Keller box method was used to solve the reduced system of non-dimensional partial differential equations.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of MHD stagnation point flow and heat transfer of a micropolar fluid towards a heated shrinking sheet

Ashraf

Bashir

2011

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARY A comprehensive study of magneto hydrodynamics two‐dimensional stagnation flow with heat transfer characteristics towards a heated shrinking sheet immersed in an electrically conducting incompressible micropolar fluid in the presence of a transverse magnetic field is analyzed numerically. The governing continuity, momentum, angular momentum and heat equations together with the associated boundary conditions are first reduced to a set of self similar nonlinear ordinary differential equations using a similarity transformation and are then solved by a method based on finite difference discretization. Some important features of the flow and heat transfer in terms of normal and streamwise velocities, microrotation and temperature distributions for different values of the governing parameters are analyzed, discussed and presented through tables and graphs. The results indicate that the reverse flow caused due to shrinking of the sheet can be stopped by applying a strong magnetic field. The magnetic field enhances the shear stresses and decreases the thermal boundary layer thickness. The heat loss per unit area from the sheet decreases with an increase in the shrinking parameter. Micropolar fluids exhibit reduction in shear stresses and heat transfer rate as compared with Newtonian fluids, which may be beneficial in the flow and thermal control of polymeric processing. Copyright © 2011 John Wiley & Sons, Ltd.

show abstract

Section: Introductionmentioning

confidence: 99%

Numerical simulation of MHD stagnation point flow and heat transfer of a micropolar fluid towards a heated shrinking sheet

Ashraf

Bashir

2011

Numerical Methods in Fluids

View full text Add to dashboard Cite

show abstract

“…which interpolates g(η, ξ) at the collocation points defined by equation (22). We remark that, for ease of notation, we have dropped the subscripts r +1.…”

Section: Methods Of Solution : Bsrmmentioning

confidence: 99%

“…The study of the problem of mixed convection flow from a vertical flat plate with temperature-dependent viscosity was examined by Hossain [21]. Non-darcy unsteady mixed convection flow near the stagnation point on a heated vertical surface embedded in a porous medium with thermal radiation and variable viscosity was investigated by Hassanien [22]. Recently, Sharma [23] delved into the problem of MHD flow, heat and mass transfer about a horizontal cylinder in a saturated porous medium.…”

mentioning

confidence: 99%

Analysis of MHD Forced Convective Flow of Variable Fluid Properties over a Saturated Porous Medium with Thermal Radiation Effect

Adegbie

Fagbade

2016

IFSL

View full text Add to dashboard Cite

Abstract. The present paper addresses the problem of MHD forced convective flow in a fluid saturated porous medium with Brinkman-Forchheimer model, which is an important physical phenomena in engineering applications. The paper extends the previous models to account for effects of variable fluid properties on the forced convective flow through a porous medium in the presence of radiative heat loss using bivariate spectral relaxation method (BSRM). The dynamic viscosity µ and thermal conductivity of the newtonian fluid are assumed to vary linearly respectively, with temperature whereas the contribution of thermal radiative heat loss is based on Rosseland diffussion approximation. The flow model is described and expressed in form of a highly coupled nonlinear system of partial differential equations. The method of solution BSRM as proposed by Motsa [25] seeks to decouple the original system of PDEs to form a sequence of equations that can be solved in a computationally efficient manner. BSRM is an approach that applies spectral collocation independently in all underlying independent variable is executed to obtain approximate solutions of the problem. The proposed algorithm is supposed to be a very accurate, convergent and very effective in generating numerical results. The results obtained show a significant effects of the flow control parameters on the fluid velocity and temperature respectively. Consequently, the wall shear stress and local heat transfer rate of the present paper are compared with the available results in literatures. Remarkable impacts and a good agreement are found.

show abstract

“…Kumaran et al [19] studied the problem of MHD boundary-layer flow of an electrically conducting fluid over a stretching and permeable sheet with injection/suction through the sheet. The problem of unsteady mixed convection boundary-layer flow near the stagnation point on a heated vertical plate embedded in a porous medium was presented by Hassanien and Al-Arabi [20] by using Keller box method. Hayat et al [21] presented the MHD stagnation point flow and heat transfer through a porous space bounded by a permeable surface.…”

Section: Introductionmentioning

confidence: 99%

Mixed convection boundary-layer flow of a micro polar fluid towards a heated shrinking sheet by homotopy analysis method

et al. 2016

View full text Add to dashboard Cite

A comprehensive study of 2-D stagnation flow of an incompressible micro polar fluid with heat transfer characteristics towards a heated shrinking sheet is analytically analyzed. The main goal of this paper, is to find the analytic solutions using a powerful technique namely the homotopy analysis method for the velocity and the temperature distributions and to study the steady mixed convection in 2-D stagnation flows of a micro polar fluid around a vertical shrinking sheet. The governing equations of motion together with the associated boundary conditions are first reduced to a set of self-similar non-linear ordinary differential equations using a similarity transformation and are then solved by the homotopy analysis method. Some important features of the flow and heat transfer for the different values of the governing parameters are analyzed, discussed, and presented through tables and graphs. The heat transfer from the sheet to the fluid decreases with an increase in the shrinking rate. Micro polar fluids exhibit a reduction in shear stresses and heat transfer rate as compared to Newtonian fluids, which may be beneficial in flow and thermal control of polymeric processing.

show abstract

Non-Darcy unsteady mixed convection flow near the stagnation point on a heated vertical surface embedded in a porous medium with thermal radiation and variable viscosity

Cited by 23 publications

References 15 publications

Numerical simulation of MHD stagnation point flow and heat transfer of a micropolar fluid towards a heated shrinking sheet

Numerical simulation of MHD stagnation point flow and heat transfer of a micropolar fluid towards a heated shrinking sheet

Analysis of MHD Forced Convective Flow of Variable Fluid Properties over a Saturated Porous Medium with Thermal Radiation Effect

Mixed convection boundary-layer flow of a micro polar fluid towards a heated shrinking sheet by homotopy analysis method

Contact Info

Product

Resources

About