Velocity, mass and temperature analysis of gravity-driven convection nanofluid flow past an oscillating vertical plate in the presence of magnetic field in a porous medium

Kataria, Hari R.; Mittal, Akhil S.

doi:10.1016/j.applthermaleng.2016.08.129

Cited by 96 publications

(36 citation statements)

References 36 publications

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“…According to definition of the magnetic Reynolds number, the induced magnetic field is negligible when the magnetic Reynolds number is small (Kataria and Mittal). 34 For the most industrial flows involving liquid metal (such as present problem), is very low, usually less than 0.01. In this approximation, induced magnetic field is much smaller than the applied magnetic field and the overall magnetic effect amounts to adding in the Navier-Stokes 35 The effects of magnetic field on unsteady free convective flow of radiating and chemically reactive second-grade fluid near an infinite vertical plate through porous medium have been considered by Kataria and colleagues.…”

Section: Introductionmentioning

confidence: 92%

“…For

R_{m} < < 1

, advection is relatively unimportant and so the magnetic field will tend to relax toward a purely diffusive state, determined by the boundary conditions rather than the flow. According to definition of the magnetic Reynolds number, the induced magnetic field is negligible when the magnetic Reynolds number is small (Kataria and Mittal) . For the most industrial flows involving liquid metal (such as present problem),

R_{m}

is very low, usually less than 0.01.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of MHD micropolar nanofluid flow and heat transfer between a porous plate and a nonporous plate filled with porous medium

Parsa

Sayehvand

2017

Heat Trans. Asian Res.

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This article presents an analytical study on magnetohydrodynamic micropolar nanofluid flow through parallel, coaxial discs filled with a porous medium with uniform blowing from the upper plate. Three different types of nanoparticles, namely copper, aluminum oxide, and titanium dioxide are considered with water and used as base fluids. The governing equations are solved via Differential Transformation Method. The validity of this method has been verified with the results of numerical solution (fourth‐order Runge‐Kutta scheme). The analytical investigation is carried out for different governing parameters. The results indicate that skin friction coefficient has a direct relationship with Hartmann number and the micropolar parameter. It is also found that Nusselt number is increased with increment in Prandtl number and Eckert number. Additionally, this analysis concluded that an increase in volume fraction of nanofluid increases the Nusselt number on the top plate and decreases it on the lower plate.

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Section: Introductionmentioning

confidence: 92%

“…For

R_{m} < < 1

R_{m}

is very low, usually less than 0.01.…”

Section: Introductionmentioning

confidence: 99%

Analysis of MHD micropolar nanofluid flow and heat transfer between a porous plate and a nonporous plate filled with porous medium

Parsa

Sayehvand

2017

Heat Trans. Asian Res.

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“…( ) for, micro-rotation, temperature, concentration and velocity distributions that converge to solutions of Eqs. (12)(13)(14)(15). For producing f { } k ( ) , linearized form of Eq.…”

Section: Problem Formulationmentioning

confidence: 99%

Study of Heat and Mass Transfer in MHD Flow of Micropolar Fluid over a Curved Stretching Sheet

Yasmin

Ali

Ashraf

2020

Sci Rep

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A comprehensive investigation of mass and heat transfer in magnetohydrodynamics (MHD) flow of an electrically conducting non-Newtonian micropolar fluid because of curved stretching sheet is presented. Flow is originated by stretching of curved sheet by means of linear velocity. Concentration and energy equations are incorporated to study repercussion of mass and heat transfer. To define basic equations of the model, curvilinear coordinates are used. The transformed BL (boundary layer) equations for the momentum, concentration, angular momentum and temperature with appropriate boundary conditions are numerically solved by SOR (successive over relaxation) algorithms combined with the quasi-linearization technique. Flow features such as temperature fields, micro rotation, velocity and concentration are appraised for manipulation of pertinent parameters. The radius of curvature enhances the temperature and concentration whereas it declines micro-rotation as well as velocities of the fluid.It is significant to notice that magnetic field interaction is caused counterproductive in increasing concentration distribution and fluid temperature while diminishing micro-rotation and velocities at all domain flow points. As schmidt number increases concentration of fluid reduces.

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“…Das et al [5] obtain analytic solution of chemical reaction and thermal radiation effects on MHD micropolar fluid in a rotating frame. Kataria and Mittal [6][7] discuss unsteady free convective MHD nano fluid flow whereas, Kataria et al [8] consider magnetic field effects on micropolar fluid between two vertical walls. Muhaimin et al [9] consider MHD Mixed convective flow with particle deposition and chemical reaction in a porous medium whereas, Muthucumaraswamy and Geetha [10] consider effects of parabolic motion on an isothermal vertical plate with constant mass flux.…”

Section: Introductionmentioning

confidence: 99%

Study of Radiation, Reaction and Parabolic Motion Effects on MHD Casson Fluid Flow with Ramped Wall Temperature

Patel¹,

Kataria²

Kalpa Publications in Computing

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This article studies effect of thermal radiation, chemical reaction and parabolic motion on the unsteady MHD Casson fluid flow past an infinite vertical plate embedded with ramped wall temperature. The fluid is electrically conducting and passing through a porous medium. This phenomenon modeled in the form of partial differential equations with initial and boundary conditions. Some suitable non-dimensional variables introduced and corresponding dimensionless equations solved using the Laplace transform technique. Analytical expressions for velocity, temperature and concentration profiles obtained. The features of the velocity, temperature and concentration are analyzed by plotting graphs and the physical aspects are studied for different parameters like the magnetic field parameter M, thermal radiation parameter R, chemical reaction parameter ′ , thermal Grashof number Gr, mass Grashof number Gm, Schmidt number Sc, Prandtl number Pr and time variable t.

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Velocity, mass and temperature analysis of gravity-driven convection nanofluid flow past an oscillating vertical plate in the presence of magnetic field in a porous medium

Cited by 96 publications

References 36 publications

Analysis of MHD micropolar nanofluid flow and heat transfer between a porous plate and a nonporous plate filled with porous medium

Analysis of MHD micropolar nanofluid flow and heat transfer between a porous plate and a nonporous plate filled with porous medium

Study of Heat and Mass Transfer in MHD Flow of Micropolar Fluid over a Curved Stretching Sheet

Study of Radiation, Reaction and Parabolic Motion Effects on MHD Casson Fluid Flow with Ramped Wall Temperature

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