Stagnation slip flow and heat transfer over a nonlinear stretching sheet

Abbas, Zaheer; Hayat, Tasawar

doi:10.1002/num.20523

Cited by 34 publications

(17 citation statements)

References 34 publications

(20 reference statements)

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“…An exact similarity solution for the dimensionless differential system was obtained. Abbas and Hayat [12] provided an analytic solution for stagnation slip flow and heat transfer towards a stretching sheet by homotopy analysis method (HAM). Andersson et al [10] discussed the slip effects on the flow of a viscous fluid over a stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Unsteady flow and heat transfer of Jeffrey fluid over a stretching sheet

et al. 2014

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The boundary layer flow and heat transfer of an incompressible Jeffrey fluid have been investigated. The analytic solutions of the arising differential system have been computed by homotopy analysis method. The dimensionless expressions for wall shear stress and surface heat transfer are also derived. Exact solutions of the momentum equation and numerical solutions of the dimensionless energy equations have been obtained for the steady-state case. The results indicate an increase in the velocity and the boundary layer thickness by increasing the elastic parameter (Deborah number) for a Jeffrey fluid.

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Section: Introductionmentioning

confidence: 99%

Unsteady flow and heat transfer of Jeffrey fluid over a stretching sheet

et al. 2014

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“…Following the pioneering work of Crane [1], recently the flow and heat transfer characteristics past a stretching/shrinking sheet with and without slip condition at the surface were studied by many authors [2][3][4][5][6]. On the other hand, Wang [7] was the first who discussed the steady flow of a viscous fluid outside of a stretching hollow cylinder by considering the ambient fluid at rest.…”

Section: Introductionmentioning

confidence: 98%

Heat transfer analysis due to an unsteady stretching/shrinking cylinder with partial slip condition and suction

Abbas

Rasool

Rashidi

2015

Ain Shams Engineering Journal

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This article deals with the laminar flow of a viscous fluid and heat transfer analysis due to a porous stretching/shrinking cylinder with partial slip condition. The flow equations corresponding to momentum and energy equations are transformed into a set of highly nonlinear ordinary differential equations by means of similarity transformations, which are then, solved numerically using Runge-Kutta-Fehlberg method. The physical significance of the various involved parameters on the flow velocity and temperature distribution is discussed through graphs and tables in detail. It is found that the dual solutions exist for the shrinking cylinder, while a unique solution exists for stretching cylinder. Comparison of the present results with the existing previous results is given and found to be in good agreement. Ó 2015 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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“…The heat transfer characteristics of a viscous fluid over a non linear stretching sheet was later introduced by Cortell [9]. A great number of studies for the boundary layer flow over a non linear stretching sheet under different aspects of heat and mass transfer, slip and convective boundary conditions etc., are presented in the literature [10]- [16].…”

Section: Introductionmentioning

confidence: 99%

MHD Stagnation Point Flow of a Casson Fluid over a Nonlinearly Stretching Sheet with Viscous Dissipation

Medikare

Joga

Chidem

2016

AJCM

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Study to analyze the MHD stagnation point flow of a Casson fluid over a nonlinearly stretching sheet with viscous dissipation was carried out. The partial differential equations governing this phenomenon were transformed into coupled nonlinear ordinary differential equations with suitable similarity transformations. These equations were then solved by finite difference technique known as Keller Box method. The various parameters such as Prandtl number (Pr), Eckert number (Ec), Magnetic parameter (M), Casson parameter (β) and non linear stretching parameter (n) determining the velocity and temperature distributions, the local Skin friction coefficient and the local Nusselt number governing such a flow were also analyzed. On analysis it was found that the Casson fluid parameter (β) decreased both the fluid velocity and temperature whereas an increase in (β) increased both the heat transfer rate and wall skin-friction coefficient.

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Stagnation slip flow and heat transfer over a nonlinear stretching sheet

Cited by 34 publications

References 34 publications

Unsteady flow and heat transfer of Jeffrey fluid over a stretching sheet

Unsteady flow and heat transfer of Jeffrey fluid over a stretching sheet

Heat transfer analysis due to an unsteady stretching/shrinking cylinder with partial slip condition and suction

MHD Stagnation Point Flow of a Casson Fluid over a Nonlinearly Stretching Sheet with Viscous Dissipation

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