Heat transfer in MHD stagnation point flow of a ferrofluid over a stretchable rotating disk

Mustafa, Irfan; Javed, Tariq; Ghaffari, Abuzar

doi:10.1016/j.molliq.2016.03.046

Cited by 76 publications

(49 citation statements)

References 25 publications

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“…Besides, it is worth noting that F(η, τ), G(η, τ), and all its derivatives are smaller in comparison with f 0 (η), θ 0 (η) and all its derivatives. Hence, by employing the time-dependent solutions of Equation (24) into Equations (21) and (22), the following expressions can be attained:…”

Section: Stability Analysismentioning

confidence: 99%

“…On the other hand, Khan et al [21] numerically studied the MHD stagnation-point flow and heat transfer towards a stretching sheet in a ferrofluid with viscous dissipation. Besides, Mustafa et al [22] numerically studied the stagnation point flow and heat transfer of a ferrofluid past a stretchable rotating disk with a magnetic field. Later on, Ilias et al [23] deliberated the MHD natural convection boundary layer flow and heat transfer of a ferrofluid past a vertical semi-infinite flat plate.…”

Section: Introductionmentioning

confidence: 99%

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Thermal Radiation and MHD Effects in the Mixed Convection Flow of Fe3O4–Water Ferrofluid towards a Nonlinearly Moving Surface

2020

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This paper investigated the magnetohydrodynamic (MHD) mixed convection flow of Fe3O4-water ferrofluid over a nonlinearly moving surface. The present work focused on how the state of suction on the surface of the moving sheet and the effects of thermal radiation influence the fluid flow and heat transfer characteristics within the stagnation region. As such, a similarity solution is engaged to transform the governing partial differential equations to the ordinary differential equations. A collocation method, namely the bvp4c function in the MATLAB software solves the reduced system, numerically. Two different numerical solutions were identified for the cases of assisting and opposing flows. The stability analysis was conducted to test the stability of the non-uniqueness solutions. The increment of the thermal radiation effect affects the rate of heat transfer to decrease. The stability analysis conveyed that the upper branch solution is stable and vice versa for the other solution.

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Section: Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal Radiation and MHD Effects in the Mixed Convection Flow of Fe3O4–Water Ferrofluid towards a Nonlinearly Moving Surface

2020

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“…The aim of this paper is to improve research by incorporating elements of the Lie group theory. Despite this approach, there are a number of computational techniques in literature [36][37][38][39][40][41][42][43][44][45][46][47][48][49] to solve mathematical models. These models gave a good performance with a minimum residual error.…”

Section: Introductionmentioning

confidence: 99%

Chemically reacting mixed convective Casson fluid flow in the presence of MHD and porous medium through group theoretical analysis

2020

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This paper explores the consequences of chemically reacting magnetohydrodynamic mixed convective fluid substances driven by the porous medium, slippery, incompressible, and laminar vertical channel flow. Casson fluid model in a vertical channel is strengthened with mixed convection flow. The effects of the heat source-sink parameter, the suctioninjection parameter, slips on the slide wall, and thermal radiation are also considered. A Lie group method is taken into consideration and nonlinear partial differential equations are converted into nonlinear ordinary differential equations (ODEs). The NDSolve command solves these ODEs and shows the action of the related parameters in the velocity, temperature, and concentration figures. The Casson fluid parameter increases the velocity profile but reduces the concentration profile. The parameter of suction-injection enhances the velocity, temperature, and concentration profiles. The variations in skinfriction coefficient in the heat and mass transfer rate are addressed in the diagrams. Moreover, streamlines are plotted for suction-injection parameter.

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“…The pioneer study of the two-dimensional stagnation point flow was done by Hiemenz [20], who found that the governing Navier-Stokes equations can be reduced to an ordinary differential equation (ODE) using a similarity transformation. Mustafa et al [21] considered the MHD flow of a ferrofluid towards a stagnation point on a stretchable rotating disk. They solved the problem numerically using the Keller box method.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Flow and Heat Transfer Induced by a Shrinking Sheet

2020

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The magnetohydrodynamic (MHD) stagnation point flow over a shrinking or stretching flat sheet is investigated. The governing partial differential equations (PDEs) are reduced into a set of ordinary differential equations (ODEs) by a similarity transformation and are solved numerically with the help of MATLAB software. The numerical results obtained are for different values of the magnetic parameter M, heat generation parameter Q, Prandtl number Pr and reciprocal of magnetic Prandtl number ε. The influences of these parameters on the flow and heat transfer characteristics are investigated and shown in tables and graphs. Two solutions are found for a certain rate of the shrinking strength. The stability of the solutions in the long run is determined, and shows that only one of them is stable. It is found that the skin friction coefficient f ″ ( 0 ) and the local Nusselt number − θ ′ ( 0 ) decrease as the magnetic parameter M increases. Further, the local Nusselt number increases as the heat generation increases.

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Heat transfer in MHD stagnation point flow of a ferrofluid over a stretchable rotating disk

Cited by 76 publications

References 25 publications

Thermal Radiation and MHD Effects in the Mixed Convection Flow of Fe3O4–Water Ferrofluid towards a Nonlinearly Moving Surface

Thermal Radiation and MHD Effects in the Mixed Convection Flow of Fe3O4–Water Ferrofluid towards a Nonlinearly Moving Surface

Chemically reacting mixed convective Casson fluid flow in the presence of MHD and porous medium through group theoretical analysis

Magnetohydrodynamic Flow and Heat Transfer Induced by a Shrinking Sheet

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