Stagnation-Point Flow Over a Shrinking Sheet in a Micropolar Fluid

Ishak, Anuar Mohd; Lok, Yian Yian; Pop, Ioan

doi:10.1080/00986441003626169

Cited by 229 publications

(126 citation statements)

References 26 publications

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“…In order to assess the accuracy of the present method, we have compared our results with those of Wang [18] for some values of when K = 0 (Newtonian fluid) as shown in table 1. We have also compared our results with the results reported in [9]. The results are found to be in excellent agreement.…”

Section: Resultssupporting

confidence: 76%

Stagnation-point flow over a stretching/shrinking sheet in a porous medium

Rosali

Ishak²

2013

AIP Conference Proceedings

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Section: Resultssupporting

confidence: 76%

Stagnation-point flow over a stretching/shrinking sheet in a porous medium

Rosali

Ishak²

2013

AIP Conference Proceedings

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“…We notice that for an impermeable wall (S = 0) the values of (0) f  reported by Hiemenz (1911) is S = 1.233. [Wang (2008), Ishak et al (2010), Rosali et al (2012)] and the present study of the comparison of (0) f  for several values of  in the absence of micropolar parameter, magnetic parameter, permeability parameter, suction parameter and the slip velocity parameter for a stretching sheet. This investigation confirms that the existence and uniqueness of solution depends on the stretching/shrinking sheet parameter.…”

Section: Resultsmentioning

confidence: 95%

Effects of Homogeneous-Heterogeneous Chemical Reaction and Slip Velocity on MHD Stagnation Flow of a Micropolar Fluid Over a Permeable Stretching/Shrinking Surface Embedded in a Porous Medium

Reddy¹,

Suneetha²

2017

Frontiers in Heat and Mass Transfer

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We report on a mathematical model for analyzing the effects of homogeneous-heterogeneous chemical reaction and slip velocity on the MHD stagnation point flow of electrically conducting micropolar fluid over a stretching/shrinking surface embedded in a porous medium. The governing boundary layer coupled partial differential equations are transformed into a system of non-linear ordinary differential equations, which are solved numerically using the MATLAB bvp4c solver. The effects of physical and fluid parameters such as the stretching parameter, micropolar parameter, permeability parameter, strength of homogeneous and heterogeneous reaction parameter on the velocity and concentration are analyzed, and these results are presented through graphs. The solute concentration at the surface is found to decrease with the strength of the homogeneous reaction, and to increase with heterogeneous reactions, the permeability parameter and stretching or shrinking parameters. Comparison between the previously published results and the present numerical results for various special cases has been done and are found to be an excellent agreement.

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“…Wang 12 investigated the steady two-dimensional and axisymmetric stagnation point flow with heat transfer over a shrinking sheet and found that solutions do not exist for the larger shrinking rates. Ishak et al 13 extended the work of Mahapatra and Gupta 8 to the oblique stagnation flow and a shrinking sheet in a micropolar fluid. It was found in these problems that the solutions for a shrinking sheet are non-unique.…”

Section: Introductionmentioning

confidence: 97%

Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection

Suali

Long

Ariffin

2012

Journal of Applied Mathematics

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The unsteady stagnation point flow and heat transfer over a stretching/shrinking sheet with suction/injection is studied. The governing partial differential equations are converted into nonlinear ordinary differential equations using a similarity transformation and solved numerically. Both stretching and shrinking cases are considered. Results for the skin friction coefficient, local Nusselt number, velocity, and temperature profiles are presented for different values of the governing parameters. It is found that the dual solutions exist for the shrinking case, whereas the solution is unique for the stretching case. Numerical results show that the range of dual solutions increases with mass suction and decreases with mass injection.

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Stagnation-Point Flow Over a Shrinking Sheet in a Micropolar Fluid

Cited by 229 publications

References 26 publications

Stagnation-point flow over a stretching/shrinking sheet in a porous medium

Stagnation-point flow over a stretching/shrinking sheet in a porous medium

Effects of Homogeneous-Heterogeneous Chemical Reaction and Slip Velocity on MHD Stagnation Flow of a Micropolar Fluid Over a Permeable Stretching/Shrinking Surface Embedded in a Porous Medium

Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection

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