Viscous Flow over an Unsteady Shrinking Sheet with Mass Transfer

Fang, Tiegang; Ji, Zhang; Yao, Shouguang

doi:10.1088/0256-307x/26/1/014703

Cited by 164 publications

(47 citation statements)

References 20 publications

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“…The quality of the final product depends on the rate of heat transfer at the stretching surface. On the other hand, the new type of shrinking sheet flow is essentially a backward flow as discussed by Goldstein [11] and it shows physical phenomena quite distinct from the forward stretching flow [12]. The enhanced thermal behavior of nanofluids could provide a basis for an enormous innovation for heat transfer intensification for the processes and applications mentioned above.…”

Section: Introductionmentioning

confidence: 99%

Stagnation-point flow over a stretching/shrinking sheet in a nanofluid

2011

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An analysis is carried out to study the steady two-dimensional stagnation-point flow of a nanofluid over a stretching/shrinking sheet in its own plane. The stretching/shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation point. The similarity equations are solved numerically for three types of nanoparticles, namely copper, alumina, and titania in the water-based fluid with Prandtl number Pr = 6.2. The skin friction coefficient, Nusselt number, and the velocity and temperature profiles are presented graphically and discussed. Effects of the solid volume fraction φ on the fluid flow and heat transfer characteristics are thoroughly examined. Different from a stretching sheet, it is found that the solutions for a shrinking sheet are non-unique.

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Section: Introductionmentioning

confidence: 99%

Stagnation-point flow over a stretching/shrinking sheet in a nanofluid

2011

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“…The system of ordinary differential Eqs. (17) and (18) with the boundary conditions (20)-(23) is solved numerically using the shooting method for different values of the key parameters. The Prandtl number is set equal to 0.72 throughout the paper.…”

Section: Resultsmentioning

confidence: 99%

Unsteady MHD Stagnation‐Point Flow Toward a Shrinking Sheet with Thermal Radiation and Slip Effects

Chen

Liang

Wang

et al. 2015

Heat Trans. Asian Res.

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The problem of an unsteady magnetohydrodynamic stagnation point flow of an incompressible viscous fluid over a shrinking sheet is discussed in the presence of thermal radiation and boundary slip, which has not been documented to date in the literature. The governing boundary-layer equations are transformed to high order nonlinear and ordinary differential equations by similarity transformations and then solved numerically. The effects of magnetic parameter, unsteadiness parameter, radiation parameter, velocity, and thermal slip parameters on velocity and temperature are analyzed and discussed. It is found that dual solutions of both velocity and temperature fields exist for negative values of the velocity ratio parameter. The results indicate that dual solution domains of velocity and temperature expand as the unsteadiness parameter increases. C⃝ 2015 Wiley Periodicals, Inc. Heat Trans Asian Res, 00(00): 1-16, 2015; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj).

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“…is the Eckert number, and Pr = ϑ α is the Prandtl number. In our problem, we consider a decelerating shrinking surface (A < 0) as assumed in [35,36].…”

Section: Boundary Layer Governing Equationsmentioning

confidence: 99%

Numerical Investigation of Multiple Solutions for Caputo Fractional-Order-Two Dimensional Magnetohydrodynamic Unsteady Flow of Generalized Viscous Fluid over a Shrinking Sheet Using the Adams-Type Predictor-Corrector Method

et al. 2019

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In this paper, magnetohydrodynamic (MHD) flow over a shrinking sheet and heat transfer with viscous dissipation has been studied. The governing equations of the considered problem are transformed into ordinary differential equations using similarity transformation. The resultant equations are converted into a system of fractional differential boundary layer equations by employing a Caputo derivative which is then solved numerically using the Adams-type predictor-corrector method (APCM). The results show the existence of two ranges of solutions, namely, dual solutions and no solution. Moreover, the results indicate that dual solutions exist for a certain range of specific parameters which are in line with the results of some previously published work. It is also observed that the velocity boundary layer decreases as the suction and magnetic parameters increase.

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Viscous Flow over an Unsteady Shrinking Sheet with Mass Transfer

Cited by 164 publications

References 20 publications

Stagnation-point flow over a stretching/shrinking sheet in a nanofluid

Stagnation-point flow over a stretching/shrinking sheet in a nanofluid

Unsteady MHD Stagnation‐Point Flow Toward a Shrinking Sheet with Thermal Radiation and Slip Effects

Numerical Investigation of Multiple Solutions for Caputo Fractional-Order-Two Dimensional Magnetohydrodynamic Unsteady Flow of Generalized Viscous Fluid over a Shrinking Sheet Using the Adams-Type Predictor-Corrector Method

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