Non-orthogonal stagnation-point flow of a micropolar fluid

Lok, Yian Yian; Pop, Ioan; Chamkha, Ali J.

doi:10.1016/j.ijengsci.2006.04.016

Cited by 42 publications

(31 citation statements)

References 23 publications

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“…We remark that the system (19) governs the oblique stagnation-point flow of an inert, electromagnetic micropolar fluid, as is easy to verify. In literature, such a flow has been studied in [18], and [19] under restrictive assumptions upon the material parameters, and following a different approach. Guram and Smith ([17]) for the orthogonal stagnation-point flow of a micropolar fluid.…”

Section: Case I-mmentioning

confidence: 99%

“…Previously Ahmadi ( [1]) obtained self-similar solutions of the boundary layer equations for micropolar flow imposing restrictive conditions on the material parameters which make the equations to contain only one parameter. This restrictive approach has been followed in [18] and [19] in order to study the oblique stagnation-point flow in the absence of an external electromagnetic field.…”

Section: Introductionmentioning

confidence: 99%

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MHD oblique stagnation-point flow of a micropolar fluid

Borrelli

Giantesio

Patria

2012

Applied Mathematical Modelling

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Abstract. The steady two-dimensional oblique stagnation-point flow of an electrically conducting micropolar fluid in the presence of a uniform external electromagnetic field (E 0 , H 0 ) is analyzed and some physical situations are examined. In particular, if E 0 vanishes, H 0 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 stagnationpoint 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 three dimensionless material parameters, and also on the Hartmann number if H 0 is parallel to the dividing streamline.76W05, 76D10. Micropolar fluids, MHD flow, oblique stagnation-point flow.

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Section: Case I-mmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

MHD oblique stagnation-point flow of a micropolar fluid

Borrelli

Giantesio

Patria

2012

Applied Mathematical Modelling

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“…Following works of Eringen [10] and Lok et al [17] , (1)-(8) for steady two dimensional incompressible flow of a micropolar fluid with boundary layer approximations in the absence of the body couple reduce to the following forms:…”

Section: Problem Formulationmentioning

confidence: 99%

“…To solve these coupled equations, we use a finite difference based numerical algorithm. We reduce the order of (15) with the help of substitution q = f , such that the boundary value problem comprising (15)- (17) and the boundary conditions given in (18) becomes as follows:…”

Section: Numerical Solutionmentioning

confidence: 99%

“…The numerical study of the flow and heat transfer characteristics of mixed convection in a micropolar fluid along a vertical flat plate with conduction effects was conducted by Cheng [16] . The steady two dimensional nonorthogonal stagnation flow of micropolar fluid on a flat plate was analyzed numerically by Lok et al [17] for some values of the governing parameters. Seddeek [18] investigated the effects of magnetic field on the flow of micropolar fluids past a continuously moving plate by reducing the governing equations of motion in dimensionless form through a similarity transformation.…”

Section: Introductionmentioning

confidence: 99%

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MHD stagnation point flow of a micropolar fluid towards a heated surface

Ashraf

2011

Appl. Math. Mech.-Engl. Ed.

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The problem of two dimensional stagnation point flow of an electrically conducting micropolar fluid impinging normally on a heated surface in the presence of a uniform transverse magnetic field is analyzed. The governing continuity, momentum, angular momentum, and heat equations together with the associated boundary conditions are reduced to dimensionless form using suitable similarity transformations. The reduced self similar non-linear equations are then solved numerically by an algorithm based on the finite difference discretization. The results are further refined by Richardson's extrapolation. The effects of the magnetic parameter, the micropolar parameters, and the Prandtl number on the flow and temperature fields are predicted in tabular and graphical forms to show the important features of the solution. The study shows that the velocity and thermal boundary layers become thinner as the magnetic parameter is increased. The micropolar fluids display more reduction in shear stress as well as heat transfer rate than that exhibited by Newtonian fluids, which is beneficial in the flow and thermal control of polymeric processing.

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Simulation analysis of MHD hybrid CuAl ₂ O ₃ /H ₂ O nanofluid flow with heat generation through a porous media

et al. 2021

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Summary Hybrid nanoliquids comprise of better physical strength, mechanical resistance, thermal conductivity, and chemical stability as equated to individual nanoliquids. The present work investigates the MHD laminar flow, containing hybrid nanoparticles, with heat transfer phenomenon over a stretching sheet immersed in a porous medium. The effect of induced magnetic field has also been taken into account. The flow model PDEs are rehabilitated into ordinary ones using a persuasive tool of similarity variables. The analogous system of dimensionless equations alongside the boundary conditions is numerically treated with the Successive‐Over‐Relaxation (SOR) technique. Flow and heat transfer aspects of both pure and hybrid nanofluids are examined for the preeminent parameters. Our outcomes are associated with the previously accomplished experimental and numerical results, and found to be in a good agreement with them. As a major outcome of the study, it has been noted that, apart from their well‐reported thermal characteristics, hybrid nanofluids are capable of raising the shear stress to remarkably higher levels (upto 57% in some cases). Therefore, such fluids must be used with caution in applications where a control on the shear stress is required.

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Non-orthogonal stagnation-point flow of a micropolar fluid

Cited by 42 publications

References 23 publications

MHD oblique stagnation-point flow of a micropolar fluid

MHD oblique stagnation-point flow of a micropolar fluid

MHD stagnation point flow of a micropolar fluid towards a heated surface

Simulation analysis of MHD hybrid CuAl ₂ O ₃ /H ₂ O nanofluid flow with heat generation through a porous media

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Non-orthogonal stagnation-point flow of a micropolar fluid

Cited by 42 publications

References 23 publications

MHD oblique stagnation-point flow of a micropolar fluid

MHD oblique stagnation-point flow of a micropolar fluid

MHD stagnation point flow of a micropolar fluid towards a heated surface

Simulation analysis of MHD hybrid CuAl 2 O 3 /H 2 O nanofluid flow with heat generation through a porous media

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Simulation analysis of MHD hybrid CuAl ₂ O ₃ /H ₂ O nanofluid flow with heat generation through a porous media