On the Numerical Solutions of Three-Dimensional MHD Stagnation-Point Flow of a Newtonian Fluid

Borrelli, Alessandra; Giantesio, Giulia; Patria, Maria Cristina

doi:10.12732/ijpam.v86i2.16

Cited by 11 publications

(20 citation statements)

References 12 publications

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“…The reverse flow is also related to a sign change of τ 3 . This phenomenon has been found also in the presence of a uniform external magnetic field in isothermal conditions [3]. As we will see in Section 4, in our problem by virtue of buoyancy forces this phenomenon appears not only for v 3 but also for v 1 if λ takes particular negative values.…”

Section: Newtonian Fluids: Analysis Of the Flowsupporting

confidence: 74%

“…The case of a steady magnetohydrodynamic (MHD) stagnation-point flow of an electrically conducting fluid has several applications because it appears in a very common situation: a jet of fluid impinges on a rigid body in the presence of an electromagnetic field. The study of the MHD stagnation-point flow of an electrically conducting fluid in the presence of an external magnetic field was considered by several authors [1,2,3,4,5,6,7,8,9,10,11]. Mixed convection flows, or combined forced and free convection flows, play an important role, for example, in atmospheric boundary-layer flows, heat exchangers, solar collectors, nuclear reactors and in electronic equipment.…”

Section: Introductionmentioning

confidence: 99%

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Buoyancy effects on the 3D MHD stagnation-point flow of a Newtonian fluid

Borrelli

Giantesio

Patria

et al. 2017

Communications in Nonlinear Science and Numerical Simulation

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Section: Newtonian Fluids: Analysis Of the Flowsupporting

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Buoyancy effects on the 3D MHD stagnation-point flow of a Newtonian fluid

Borrelli

Giantesio

Patria

et al. 2017

Communications in Nonlinear Science and Numerical Simulation

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“…As it can be expected from the physical point of view, beyond the boundary layer, the fluid behaves as an inviscid one (Borrelli et al , 2013, 2015).…”

Section: Numerical Solutionmentioning

confidence: 84%

MHD mixed convection oblique stagnation-point flow on a vertical plate

Giantesio

Verna

Roşca

et al. 2017

HFF

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Purpose This paper aims to study the problem of the steady plane oblique stagnation-point flow of an electrically conducting Newtonian fluid impinging on a heated vertical sheet. The temperature of the plate varies linearly with the distance from the stagnation point. Design/methodology/approach The governing boundary layer equations are transformed into a system of ordinary differential equations using the similarity transformations. The system is then solved numerically using the “bvp4c” function in MATLAB. Findings An exact similarity solution of the magnetohydrodynamic (MHD) Navier–Stokes equations under the Boussinesq approximation is obtained. Numerical solutions of the relevant functions and the structure of the flow field are presented and discussed for several values of the parameters which influence the motion: the Hartmann number, the parameter describing the oblique part of the motion, the Prandtl number (Pr) and the Richardson numbers. Dual solutions exist for several values of the parameters. Originality value The present results are original and new for the problem of MHD mixed convection oblique stagnation-point flow of a Newtonian fluid over a vertical flat plate, with the effect of induced magnetic field and temperature.

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“…The effect of increasing the and the Q is to increase the velocity and decrease the laminar boundary layer thickness in shrinking case (Borrelli et al 2012, 2013a, b). …”

Section: Discussionmentioning

confidence: 99%

Magnetohydrodynamics flow of a nanofluid driven by a stretching/shrinking sheet with suction

Mahabaleshwar¹,

Kumar²,

Sheremet

2016

SpringerPlus

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The present paper investigates the effect of a mathematical model describing the aforementioned process in which the ambient nanofluid in the presence of suction/injection and magnetic field are taken into consideration. The flow is induced by an infinite elastic sheet which is stretched along its own plane. The stretching/shrinking of the sheet is assumed to be proportional to the distance from the slit. The governing equations are reduced to a nonlinear ordinary differential equation by means of similarity transformation. The consequential nonlinear equation is solved analytically. Consequences show that the flow field can be divided into a near-field region and a far-field region. Suction on the surface plays an important role in the flow development in the near-field whereas the far-field is responsible mainly by stretching. The electromagnetic effect plays exactly the same role as the MHD, which is to reduce the horizontal flow resulting from stretching. It is shown that the behavior of the fluid flow changes with the change of the nanoparticles type. The present study throws light on the analytical solution of a class of laminar boundary layer equations arising in the stretching/shrinking sheet problem.

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On the Numerical Solutions of Three-Dimensional MHD Stagnation-Point Flow of a Newtonian Fluid

Cited by 11 publications

References 12 publications

Buoyancy effects on the 3D MHD stagnation-point flow of a Newtonian fluid

Buoyancy effects on the 3D MHD stagnation-point flow of a Newtonian fluid

MHD mixed convection oblique stagnation-point flow on a vertical plate

Magnetohydrodynamics flow of a nanofluid driven by a stretching/shrinking sheet with suction

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