Hiemenz flow in hydromagnetics

Ariel, P. D.

doi:10.1007/bf01180216

Cited by 117 publications

(70 citation statements)

References 8 publications

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“…It should be noted that by using the Rosseland approximation, the present analysis is limited to optically thick fluids. If temperature differences within the flow are sufficiently small, then Equation (7) can be linearized by expanding 4 T into the Taylor series about T ∞ , which after neglecting higher order terms takes the form 4 3 4…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The problem of two dynamic impinging stagnation flows of two fluids of different densities was investigated by Wang [3] and it was shown that the flow field depends heavily on the ratios of viscosity and density. The influence of an external magnetic field on Hiemenz flow was studied by Ariel [4]. Two dimensional MHD steady stagnation point flow towards a stretching surface was analyzed by Mahapatra and Gupta [5].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Solution of MHD Flow of Micropolar Fluid with Heat and Mass Transfer towards a Stagnation Point on a Vertical Plate

Eldabe¹,

Ghaly²,

Rizkallah³

et al. 2015

AJCM

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The paper investigates the numerical solution of problem of magnetohydrodynamic (MHD) micropolar fluid flow with heat and mass transfer towards a stagnation point on a vertical plate. In this study, we consider both strong concentrations (n = 0) and weak concentrations (n = 1/2). The governing equations have been transformed into nonlinear ordinary differential equations by applying the similarity transformation and have been solved numerically by using the finite difference method (FDM) and analytically by using (DTM). The effects of various governing parameters, namely, material parameter, radiation parameter, magnetic parameter, Prandtl number, Schmidt number, chemical reaction parameter and Soret number on the velocity, microrotation, temperature and concentration have been computed and discussed in detail through some figures and tables. In order to verify the accuracy of the present results, we have compared these results with the analytical solutions by using the differential transform method (DTM) and the multi-step differential transform method (MDTM). It is observed that this approximate numerical solution is in good agreement with the analytical solution.

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Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Solution of MHD Flow of Micropolar Fluid with Heat and Mass Transfer towards a Stagnation Point on a Vertical Plate

Eldabe¹,

Ghaly²,

Rizkallah³

et al. 2015

AJCM

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show abstract

“…We have solved the problem (3.27) with the boundary conditions (3.13) 4−9 by using a finite-differences method, because the usual shooting does not produce the desired accuracy ( [1]). …”

Section: Case Iii-nmentioning

confidence: 99%

“…The oblique solution was later studied by Tamada ([17]), Dorrepaal ([3,5]), Wang ([19,20]); recently Drazin and Raley ( [6]), and Tooke and Blyth ( [18]) reviewed the problem and included a free parameter associated with the shear flow component, which is related to the pressure gradient. Magnetohydrodynamic stagnation-point flow is an area of investigation discussed by several Authors in recent years (see for example [1,13,11,12,4,10]). In this class of problems the fluid is electrically conducting and its motion towards the wall occurs in the presence of an applied electromagnetic field.…”

Section: Introductionmentioning

confidence: 99%

MHD oblique stagnation-point flow of a Newtonian fluid

Borrelli

Giantesio

Patria

2011

Z. Angew. Math. Phys.

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Abstract. The steady two-dimensional oblique stagnation-point flow of an electrically conducting Newtonian fluid in the presence of a uniform external electromagnetic field (E0, H0) is analyzed, and some physical situations are examined. In particular, if E0 vanishes, H0 lies in the plane of the flow, with a direction not parallel to the boundary, and the induced magnetic field is neglected, it is proved that the oblique stagnation-point flow exists if, and only if, the external magnetic field is parallel to the dividing streamline. In all cases it is shown that the governing nonlinear partial differential equations admit similarity solutions, and the resulting ordinary differential problems are solved numerically. Finally, the behaviour of the flow near the boundary is analyzed; this depends on the Hartmann number if H0 is parallel to the dividing streamline.

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“…A comprehensive survey of MHD studies and their applications can be found in the book by Moreau (1990). The study of the MHD boundary layer flow of electrically conducting fluid in presence of a uniform magnetic field was considered by Ariel (1994). Later, Mahapatra and Gupta (2001) studied the MHD stagnation-point flow over a stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

MHD Mixed Convection Flow of a Non-Newtonian Powell-Erying Fluid Over a Permeable Exponentially Shrinking Sheet

Bhattacharyya¹,

Banerjee²,

Zaib³

et al. 2018

Frontiers in Heat and Mass Transfer

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The magnetohydrodynamic (MHD) mixed convection heat transfer in a non-Newtonian Powell-Erying fluid flow due to an exponentially shrinking porous sheet is investigated. Both assisting and opposing flows are considered. After use of the suitable transformations, the governing equations become non-similar ODEs. Numerical computations of resulting equations are obtained by very efficient shooting method for several values of involved parameters. The results exhibit that dual non-similar solutions can be found only when some amount of fluid mass is sucked from the flow field through the porous sheet. Many important results on the effect of external magnetic field on mixed convective flow of Powell-Erying fluid have been explored. Where, it is found that dual non-similar solutions exist for the opposing flow, while for the assisting flow, solution is unique and for steady Powell-Erying fluid flow stronger mass suction is required compared to the Newtonian fluid flow.

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Hiemenz flow in hydromagnetics

Cited by 117 publications

References 8 publications

Numerical Solution of MHD Flow of Micropolar Fluid with Heat and Mass Transfer towards a Stagnation Point on a Vertical Plate

Numerical Solution of MHD Flow of Micropolar Fluid with Heat and Mass Transfer towards a Stagnation Point on a Vertical Plate

MHD oblique stagnation-point flow of a Newtonian fluid

MHD Mixed Convection Flow of a Non-Newtonian Powell-Erying Fluid Over a Permeable Exponentially Shrinking Sheet

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