Similarity Solution for Unsteady Heat and Mass Transfer From a Stretching Surface Embedded in a Porous Medium With Suction/Injection and Chemical Reaction Effects

Chamkha, Ali J.; Aly, Abdelraheem M.; Mansour, M. A.

doi:10.1080/00986440903359087

Cited by 195 publications

(111 citation statements)

References 25 publications

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“…We compared the available results of Sharidan et al [30] and Chamkha et al [33] in Table 1 and found that the results agree well.…”

Section: Resultsmentioning

confidence: 80%

“…where M = α c is the unsteadiness parameter, β = cλ 0 the Maxwell parameter, and k 1 = ν k 0 c the permeability parameter [33]. The boundary conditions (4) and (5) then become…”

Section: Equations Of Motionmentioning

confidence: 99%

“…Sharidan et al [30] analysed the unsteady flow and heat transfer over a stretching sheet in a viscous and incompressible fluid. Recently, Tsai et al [31], Mukhopadhyay [32], Chamkha et al [33] discussed the unsteady flow and heat transfer over a stretching sheet under different conditions. Of late, Yacob et al [34] investigated the unsteady flow of a power-law fluid and mass transfer past a shrinking sheet.…”

Section: Introductionmentioning

confidence: 99%

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Upper-Convected Maxwell Fluid Flow over an Unsteady Stretching Surface Embedded in Porous Medium Subjected to Suction/Blowing

Mukhopadhyay

2012

Zeitschrift Für Naturforschung A

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Unsteady two-dimensional flow of a Maxwell fluid over a stretching surface in a porous medium subjected to suction/blowing is investigated. The upper-convected Maxwell fluid model is used to characterize the non-Newtonian fluid behaviour. With the help of similarity transformations, the boundary layer equation corresponding to the momentum equation is transformed to an ordinary one and then solved numerically by the shooting method. The flow characteristics for different values of the governing parameters are analyzed and discussed in detail. The fluid velocity initially decreases with increasing unsteadiness parameter. Also, it is found that the fluid velocity decreases with increasing permeability parameter. The effect of increasing values of the Maxwell parameter is to suppress the velocity field. Due to suction, the fluid velocity is found to decrease in the boundary layer region.

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“…We compared the available results of Sharidan et al [30] and Chamkha et al [33] in Table 1 and found that the results agree well.…”

Section: Resultsmentioning

confidence: 80%

“…where M = α c is the unsteadiness parameter, β = cλ 0 the Maxwell parameter, and k 1 = ν k 0 c the permeability parameter [33]. The boundary conditions (4) and (5) then become…”

Section: Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Upper-Convected Maxwell Fluid Flow over an Unsteady Stretching Surface Embedded in Porous Medium Subjected to Suction/Blowing

Mukhopadhyay

2012

Zeitschrift Für Naturforschung A

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“…In order to evaluate the accuracy of this study, a comparison with available results of Sharidan et al 35 , Chamkha et al 36 and Mukhopadhyay et al 37 corresponding to the coefficient of skin-friction…”

Section: Resultsmentioning

confidence: 99%

Unsteady Casson Fluid Flow over Stretching Sheet through Porous Medium with Heat Generation and Viscous Dissipation

Rao¹,

Prasad²,

Senthil³

et al. 2017

jusps-B

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In this paper, an unsteady magnetohydrodynamic (MHD) natural convection heat transfer flow of electrically conductive non-Newtonian Casson fluid over a stretching sheet through vertical porous plate with an influence of heat generation and viscous dissipation is investigated. Similarity transformations are employed to transform the governing partial differential equations into ordinary differential equations. The transformed equations are then solved numerically by Runge-Kutta and shooting methods. The heat flow characteristics for different values of the parameters namely Casson fluid parameter, unsteadiness parameter, Eckert number, heat generation parameter, permeability porous parameter and Prandtl number are studied and discussed in detail. The increase of permeability porous parameter reduces the velocity field and enhances the fluid temperature. The heat generation source leads to an increase in thermal boundary layer thickness. The higher viscous dissipative heat causes an increase in the fluid temperature.

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“…Chamkha et al [3] investigated numerically the effects of chemical reaction, thermal radiation and heat generation or absorption on unsteady free convective heat and mass transfer along an infinite vertical porous plate in the presence of a transverse magnetic field and Hall current. Chamkha et al [4] analyzed the similarity solution for unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction/injection and chemical reaction effects. Muthucumaraswamy and Ganesan [5,6] have studied the impulsive motion of a vertical plate with heat flux, mass flux, suction and diffusion of chemically reactive species.…”

Section: Introductionmentioning

confidence: 99%

Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects

Chamkha¹

2017

ACM

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Abstract:A numerical solution is presented for the effects of chemical reaction, thermal radiation, Soret number, Dufour number and magnetic field on double-diffusion free convection flow along a sphere. The governing boundary-layer equations of the problem are formulated and transformed into non-similar form. The obtained equations are solved numerically by an efficient, iterative, tri-diagonal, implicit finite-difference method. The Roseland approximation is used to describe the radiative heat flux in the energy equation. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms.

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Similarity Solution for Unsteady Heat and Mass Transfer From a Stretching Surface Embedded in a Porous Medium With Suction/Injection and Chemical Reaction Effects

Cited by 195 publications

References 25 publications

Upper-Convected Maxwell Fluid Flow over an Unsteady Stretching Surface Embedded in Porous Medium Subjected to Suction/Blowing

Upper-Convected Maxwell Fluid Flow over an Unsteady Stretching Surface Embedded in Porous Medium Subjected to Suction/Blowing

Unsteady Casson Fluid Flow over Stretching Sheet through Porous Medium with Heat Generation and Viscous Dissipation

Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects

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