Heat Transfer Due to MHD Slip Flow of a Second-Grade Liquid Over a Stretching Sheet Through a Porous Medium With Nonuniform Heat Source/Sink

Abel, M. Subhas; Mahesha, N.; Malipatil, Sharanagouda B.

doi:10.1080/00986445.2010.499848

Cited by 23 publications

(11 citation statements)

References 39 publications

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“…Figure 3 is displayed to analyze the comparison of the present analytic results with the exact solutions given in Eq. (15). An excellent agreement is found between the two solutions for different values of .…”

Section: Graphical Results and Discussionsupporting

confidence: 59%

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Flow of a Second Grade Fluid over a Stretching Surface with Newtonian Heating

2012

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ABSTRACTThis article describes the boundary layer flow and heat transfer in a second grade fluid over a stretching sheet. Heat transfer analysis is carried out in the presence of a Newtonian heating. The partial differential systems have been transformed into the ordinary differential systems by appropriate relations. Homotopy analysis method (HAM) is used for the solutions. Graphical and tabulated results are presented to see the significance of influential parameters on the velocity and temperature fields. It is seen that temperature profiles and heat transfer rate significantly increase by increasing the conjugate parameter (γ) for Newtonian heating.

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Section: Graphical Results and Discussionsupporting

confidence: 59%

“…Hayat and Nawaz [14] examined the characteristics of heat transfer in the three-dimensional boundary layer flow of second grade fluid. Partial slip effects on the magnetohydrodynamic boundary layer flow and heat transfer of second grade fluid have been addressed by Abel et al [15].…”

Section: Introductionmentioning

confidence: 99%

Flow of a Second Grade Fluid over a Stretching Surface with Newtonian Heating

2012

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“…The flow Eqs. (13) and (14) subjected to boundary conditions (15) have been solved numerically. The variation of velocity and temperature distribution for different governing non-dimensional parameters such as magnetic parameter M, unsteadiness parameter A, suction/injection parameter S, buoyancy parameter λ, Eckert number Ec, and Prandtl number Pr has been thoroughly examined.…”

Section: Resultsmentioning

confidence: 99%

Unsteady MHD Mixed Convective Boundary‐Layer Slip Flow and Heat Transfer with Thermal Radiation and Viscous Dissipation

Ibrahim

Shanker

2013

Heat Trans. Asian Res.

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A numerical analysis has been carried out to investigate the problem of MHD boundary‐layer flow and heat transfer of a viscous incompressible fluid over a moving vertical permeable stretching sheet with velocity and temperature slip boundary condition. A problem formulation is developed in the presence of radiation, viscous dissipation, and buoyancy force. A similarity transformation is used to reduce the governing boundary‐layer equations to coupled higher‐order nonlinear ordinary differential equations. These equations are solved numerically using the fourth‐order Runge–Kutta method along with shooting technique. The effects of the governing parameters such as Prandtl number, buoyancy parameter, slip parameter, magnetic parameter, Eckert Number, suction, and radiation parameter on the velocity and temperature profiles are discussed and shown by plotting graphs. It is found that the temperature is a decreasing function of the slip parameter ST. The results also indicate that the cooling rate of the sheet can be improved by increasing the buoyancy parameter. In addition the numerical results for the local skin friction coefficient and local Nusselt number are computed and presented in tabular form. The numerical results are compared and found to be in good agreement with previously published results on special cases of the problem. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res, 43(5): 412–426, 2014; Published online 3 October 2013 in Wiley Online Library (http://wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21086

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“…Simultaneous effects of heat and mass transfer on the flow of second grade fluid with Dufour and Soret effects were examined by Hayat et al (2010). Recently a variety of two-dimensional flow problems concerning second grade fluid have been discussed in the literature (see Abel et al (2010), Olajuwon (2011), Hayat et al (2012), Raftari et al (2013), Mustafa et al (2014), Mastroberardino (2014), Weidman (2014 and Turkyilmazoglu (2014)). …”

Section: Introductionmentioning

confidence: 99%