A numerical solution of unsteady MHD convection heat and mass transfer past a semi-infinite vertical porous moving plate using element free Galerkin method

Sharma, Rajesh; Bhargava, Rama; Bhargava, Peeyush

doi:10.1016/j.commatsci.2010.02.020

Cited by 22 publications

(11 citation statements)

References 18 publications

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“…The authors have implemented this excellent method to solve various problems in diverse branches of engineering [12][13][14][15][16][17][18][19][20]. The EFGM requires moving least square (MLS) interpolation functions to approximate an unknown function.…”

Section: Numerical Solution By Element Free Galerkin Methodsmentioning

confidence: 99%

“…Among all the meshless methods, the Element free Galerkin method (EFGM) has been successfully used to solve various types of problems in different areas such as fracture mechanics [12], static and dynamics fracture [13], heat transfer [14], flow and heat transfer [15][16][17][18], electromagnetic field [19] and wave propagation [20]. …”

Section: Accepted Manuscriptmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Simulation of MHD Hiemenz Flow of a Micropolar Fluid towards a Nonlinear Stretching Surface through a Porous Medium

Sharma

Bhargava

2015

International Journal for Computational Methods in Engineering

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In this paper, the two-dimensional boundary layer problem of Hiemenz flow (two-dimensional flow of a fluid near a stagnation point) of an incompressible micropolar fluid towards a nonlinear stretching surface placed in a porous medium in the presence of transverse magnetic field have been examined. The resulting non-linear differential equations governing the problem have been transformed by a similarity transformation into a system of non-linear ordinary differential equations which are solved numerically by Element Free Galerkin method. The influence of various parameters on the velocity, microrotation, temperature and concentration is shown in the graphs. Some of the result has been compared with Finite Element Method. Finally, excellent validation of the numerical results has been achieved with the earlier steady state results of Nazar et al. [2] for local skin friction [ ]

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Section: Numerical Solution By Element Free Galerkin Methodsmentioning

confidence: 99%

Section: Accepted Manuscriptmentioning

confidence: 99%

Numerical Simulation of MHD Hiemenz Flow of a Micropolar Fluid towards a Nonlinear Stretching Surface through a Porous Medium

Sharma

Bhargava

2015

International Journal for Computational Methods in Engineering

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“…For example, in the case of annealing copper wires, the properties of the final product depend to a great extent on the cooling rate. By drawing such strips in a conductive fluid subjected to a magnetic field, the rate of cooling can be controlled to achieve final products with desired characteristics [3]. Another engineering application is an electric cable surrounded by moist soil or by an insulating material, undersea cables, cooling circuits of fast fission reactors, or in the self-cooled blankets of fusion reactors, where a liquid metal is used both as coolant and as a breeder material [4].…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamics Flow and Heat Transfer Around a Solid Cylinder Wrapped With a Porous Ring

Valipour

Rashidi

Masoodi

2014

Journal of Heat Transfer

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The problem of the effect of an external magnetic field on fluid flow and heat transfer characteristics is relevant to several physical phenomena. In this paper, flow and heat transfer of an electrically-conductive fluid around a cylinder, wrapped with a porous ring and under the influence of a magnetic field, is studied numerically. The ranges of the Stuart (N), Reynolds (Re.), and Darcy fDaj numbers are 0-7, 1-40, and IO'^-1O~', respectively. The Darcy-Brinkman-Eorchheimer model was used for simulating flow in the porous layer. The governing equations provide a coupling between flow and magnetic fields. The governing equations, together with the relevant boundary conditions, are solved numerically using the finite-volume method (EVM). The effect of the Stuart, Reynolds, and Darcy numbers on the flow patterns and heat transfer rate are explored. Einally, two empirical equations f^or the average Nusselt number were suggested, in which the effect of a magnetic field and the Darcy numbers are taken into account. It was found that in the presence of a magnetic field, the drag coefficient and the critical radius of the insulation increases, while the wake length and Nusselt number decrease.

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“…However, these methods are not prevalent up to now. Sharma solved the unsteady MHD free convection heat and mass transfer of viscous fluid flowing through a porous regime adjacent to a moving vertical semi-infinite plate by element free Galerkin method [32]. Nasser [33] solved the PDEs in 2D boundary layer flow and heat transfer with the help of implicit-Chebyshev pseudospectral method, Newton method was adopted in their iteration.…”

Section: Introductionmentioning

confidence: 99%

Chebyshev collocation spectral method simulation for the 2D boundary layer flow and heat transfer in variable viscosity MHD fluid over a stretching plate

Tian

et al. 2015

International Journal of Heat and Mass Transfer

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A numerical solution of unsteady MHD convection heat and mass transfer past a semi-infinite vertical porous moving plate using element free Galerkin method

Cited by 22 publications

References 18 publications

Numerical Simulation of MHD Hiemenz Flow of a Micropolar Fluid towards a Nonlinear Stretching Surface through a Porous Medium

Numerical Simulation of MHD Hiemenz Flow of a Micropolar Fluid towards a Nonlinear Stretching Surface through a Porous Medium

Magnetohydrodynamics Flow and Heat Transfer Around a Solid Cylinder Wrapped With a Porous Ring

Chebyshev collocation spectral method simulation for the 2D boundary layer flow and heat transfer in variable viscosity MHD fluid over a stretching plate

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