Chebyshev Spectral Collocation Simulation of Nonlinear Boundary Value Problems in Electrohydrodynamics

Bég, O. Anwar; Hameed, M.; Bég, Tasveer A.

doi:10.1080/15502287.2012.698707

Cited by 32 publications

(13 citation statements)

References 39 publications

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“…The present study has considered purely fluid media and magnetic field effects. Future studies will consider electrical field aspects [63] and also permeable media flows [64] for the case of nanofluids.…”

Section: Discussionmentioning

confidence: 99%

“…It is also pertinent to note that the present simulations are valid for small magnetic Reynolds numbers (which relates the ratio of the fluid flux to the magnetic diffusivity) is not adequately large for the magnetic field to be distorted by the flow. For cases where there is a large magnetic Reynolds number, magnetic induction effects must be considered and these are presently under investigation [63]. Figure 7 indicates that velocity is depressed (all profiles decrease monotonically) with an increase in suction parameter ( > 0, i.e., lateral mass flux through the sheet from the fluid regime).…”

Section: Numerical Solution With Maple 17mentioning

confidence: 99%

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Group Analysis of Free Convection Flow of a Magnetic Nanofluid with Chemical Reaction

Uddin

Bég²,

Aziz

et al. 2015

Mathematical Problems in Engineering

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A theoretical study of two-dimensional magnetohydrodynamics viscous incompressible free convective boundary layer flow of an electrically conducting, chemically reacting nanofluid from a convectively heated permeable vertical surface is presented. Scaling group of transformations is used in the governing equations and the boundary conditions to determine absolute invariants. A third-order ordinary differential equation which corresponds to momentum conservation and two second-order ordinary differential equations which correspond to energy and nanoparticle volume fraction (species) conservation are derived. Our (group) analysis indicates that, for the similarity solution, the convective heat transfer coefficient and mass transfer velocity are proportional tox-1/4whilst the reaction rate is proportional tox-1/2, wherexis the axial distance from the leading edge of the plate. The effects of the relevant controlling parameters on the dimensionless velocity, temperature, and nanoparticle volume fraction are examined. The accuracy of the technique we have used was tested by performing comparisons with the results of published work and the results were found to be in good agreement. The present computations indicate that the flow is accelerated and temperature enhanced whereas nanoparticle volume fractions are decreased with increasing order of chemical reaction. Furthermore the flow is strongly decelerated, whereas the nanoparticle volume fraction and temperature are enhanced with increasing magnetic field parameter. Increasing convection-conduction parameter increases velocity and temperatures but has a weak influence on nanoparticle volume fraction distribution. The present study demonstrates the thermal enhancement achieved with nanofluids and also magnetic fields and is of relevance to nanomaterials processing.

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Section: Discussionmentioning

confidence: 99%

Section: Numerical Solution With Maple 17mentioning

confidence: 99%

Group Analysis of Free Convection Flow of a Magnetic Nanofluid with Chemical Reaction

Uddin

Bég²,

Aziz

et al. 2015

Mathematical Problems in Engineering

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“…Future studies will address both transient effects and utilize a variety of thermo-micromorphic constitutive models, and will be communicated imminently. Furthermore to generalize the study of electroconductive nanopolymers, future analyses will also address electrical field effects (Bég et al 2013c).…”

Section: Discussionmentioning

confidence: 99%

Group analysis and numerical computation of magneto-convective non-Newtonian nanofluid slip flow from a permeable stretching sheet

Uddin

Ferdows

Bég³

2013

Appl Nanosci

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Two-dimensional magnetohydrodynamic boundary layer flow of non-Newtonian power-law nanofluids past a linearly stretching sheet with a linear hydrodynamic slip boundary condition is investigated numerically. The non-Newtonian nanofluid model incorporates the effects of Brownian motion and thermophoresis. Similarity transformations and corresponding similarity equations of the transport equations are derived via a linear group of transformations. The transformed equations are solved numerically using Runge-Kutta-Fehlberg fourth-fifth order numerical method available in the Maple 14 software for the influence of power-law (rheological) index, Lewis number, Prandtl number, thermophoresis parameter, Brownian motion parameter, magnetic field parameter and linear momentum slip parameter. Validation is achieved with an optimized Nakamura implicit finite difference algorithm (NANO-NAK). Representative results for the dimensionless axial velocity, temperature and concentration profiles have been presented graphically. The present results of skin friction factor and reduced heat transfer rate are also compared with the published results for several special cases of the model and found to be in close agreement. The study has applications in electromagnetic nanomaterials processing.

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“…These include finite element methods [6], alternating direction implicit (ADI) finite difference techniques [7], spectral collocation solvers [8], smoothed particle hydrodynamics (SPH) which is an alternative mesh-free Lagrangian method [9], neural network and genetic algorithms [10], CFD softwares e.g. FLUENT [11], network simulation codes [12] and control volume computational solvers [13].…”

Section: Introductionmentioning

confidence: 99%

Computational modeling of heat transfer in an annular porous medium solar energy absorber with the P1-radiative differential approximation

Bég

Ali

Zaman

et al. 2016

Journal of the Taiwan Institute of Chemical Engineers

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SummaryWe study the (R) and axial (X) direction. A numerical finite difference (FTCS) scheme is used to compute the velocity (U,V), temperature () and dimensionless zero moment of intensity (I0) distributions for the effects of conduction-radiation parameter (N), Darcy parameter (Da), Forchheimer parameter (Fs), Rayleigh buoyancy number (Ra), aspect ratio (A) and Prandtl number (Pr). The computations have shown that increasing aspect ratio increases both axial and radial velocities and elevates the radiative moment of intensity. Increasing Darcy number accelerates both axial and radial flow whereas increasing

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Chebyshev Spectral Collocation Simulation of Nonlinear Boundary Value Problems in Electrohydrodynamics

Cited by 32 publications

References 39 publications

Group Analysis of Free Convection Flow of a Magnetic Nanofluid with Chemical Reaction

Group Analysis of Free Convection Flow of a Magnetic Nanofluid with Chemical Reaction

Group analysis and numerical computation of magneto-convective non-Newtonian nanofluid slip flow from a permeable stretching sheet

Computational modeling of heat transfer in an annular porous medium solar energy absorber with the P1-radiative differential approximation

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