Mixed convection flow of an electrically conducting fluid in a vertical channel using Robin boundary conditions with heat source/sink

Umavathi, J. C.; Sheremet, Mikhail A.

doi:10.1016/j.euromechflu.2015.08.013

Cited by 33 publications

(15 citation statements)

References 18 publications

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“…Transport phenomena, involving the combined influence of thermal and concentration buoyancy, are often seen in many engineering systems. They are frequently encountered in the design of modern electric circuits, heat exchangers, solar panels, ventilation system in buildings, chemical distilleries, and thermal protection systems [1][2][3][4][5][6][7][8][9][10][11]. Most of these studies are directed towards the effects of various fluid dynamical processes and flow geometry.…”

Section: Introductionmentioning

confidence: 99%

Dufour Effect with Ramped Wall Temperature and Specie Concentration on Natural Convection Flow through a Channel

Jha

Gambo

2019

Physics

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In this paper, we have obtained an analytical solution to the problem of unsteady free convection and mass transfer flow of an incompressible fluid through a vertical channel in the presence of Dufour effect (or diffusion thermo). The bounding plates are assumed to have ramped wall temperature as well as specie concentration. The mathematical model responsible for the physical situation is presented in dimensionless form and solved analytically using the powerful Laplace Transform Technique (LTT) under relevant initial and boundary conditions. In order to cross check the accuracy of the analytical results, numerical solutions are obtained using PDEPE solver in MATLAB. The expressions for temperature, concentration, and velocity are obtained. The effects of Dufour parameter, Prandtl number (Pr), Schmidt number (Sc), and dimensionless time are described during the course of these discussions. The temperature, concentration, and velocity profiles are graphically presented for some realistic values of Pr = 0.025, 0.71, 7.0, 11.62, 100.0 and Sc = 0.22, 0.60, 1.00, 2.62, while the values of all other parameters are arbitrarily taken.Physics 2019, 1 112 unsteady magnetohydrodynamics natural convection flow through a porous medium, with ramped boundary conditions, over an infinite inclined wall in the presence of thermal radiation. Authors in [20] showed how heat and mass transfer were affected, by introducing a perfectly thin conducting baffle in a vertical channel, filled with electrically conducting and chemically reacting fluid. After inserting the baffle, the fluid is concentrated in each stream with different chemically reacting agents. The basic governing equations were solved by perturbation method and also by Differential Transformation Method (DTM). The effects of Joule-heating, chemical reactions, and thermal radiation on unsteady magnetohydrodynamic (MHD) natural convection, from a heated vertical porous plate in a micropolar fluid, were analyzed by [21]. The partial differential equations, governing the flow and heat and mass transfer, were solved numerically using an implicit finite-difference scheme. The case corresponding to vanishing of the anti-symmetric part of the stress tensor, that represents weak concentrations, was considered. Authors in [22] studied the steady laminar magneto-hydrodynamic thermosolutal Marangoni convection, in the presence of a uniform applied magnetic field, in the boundary layer approximation. They assumed that the surface tension varies linearly with both the temperature and concentration, and that the interface temperature and concentration are quadratic functions of the interface arc length x. Exact analytical solutions for the velocity, temperature, and concentration boundary layers were obtained.Two important phenomena in heat and mass transfer processes are Dufour and Soret effects. Dufour effect (also diffusion-thermo) is the transfer of heat, generated by a concentration gradient, while Soret effect (also thermal diffusion) is the mass transfer generated by temperature ...

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Section: Introductionmentioning

confidence: 99%

Dufour Effect with Ramped Wall Temperature and Specie Concentration on Natural Convection Flow through a Channel

Jha

Gambo

2019

Physics

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“…Thermal radiative emission from a hot surface to a cold surface plays an important role in many uses, including energy conversion [6], with radiation effects and viscous heating in a channel partially filled by a porous material [7], viscous heating in a porous channel [8], microchannels [9], heat exchangers with vertical hexagonal rod bundle geometries [10], buoyancy-driven vortical flow [11], biofidelity corridors [12], fluid flow control [13,14], in various boundary conditions [15], and pressure dependent viscosity flows [16]. Furthermore mixed convection viscoelastic slip flow through a porous medium in a vertical porous channel with thermal radiation flow [17] is found in industrial processes and has acquired substantial importance due to its…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Williamson Combined Natural and Forced Convective Fluid Flow between Parallel Vertical Walls with Slip Effects and Radiative Heat Transfer in a Porous Medium

Jamalabadi

Hooshmand

Bagheri

et al. 2016

Entropy

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Numerical study of the slip effects and radiative heat transfer on a steady state fully developed Williamson flow of an incompressible Newtonian fluid; between parallel vertical walls of a microchannel with isothermal walls in a porous medium is performed. The slip effects are considered at both boundary conditions. Radiative highly absorbing medium is modeled by the Rosseland approximation. The non-dimensional governing Navier-Stokes and energy coupled partial differential equations formed a boundary problem are solved numerically using the fourth order Runge-Kutta algorithm by means of a shooting method. Numerical outcomes for the skin friction coefficient, the rate of heat transfer represented by the local Nusselt number were presented even as the velocity and temperature profiles illustrated graphically and analyzed. The effects of the temperature number, Grashof number, thermal radiation parameter, Reynolds number, velocity slip length, Darcy number, and temperature jump, on the flow field and temperature field and their effects on the boundaries are presented and discussed.

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“…In their analysis of the fluid flow in tapered channels with thermal source, radiation and magnetic field, Kothandapani and Prakash [29] noted that the mass transfer of nanoparticles and temperature distribution had opposite behavior. Umavathi and Sheremet [30] noted that heat generation has increased flow field velocity, while heat absorption has reduced flow rate for nanofluid flow in a vertical channel with heat source and sink. Reddy et al [31] has investigated the impact of radiation and heat generation/absorption on the flow of nanofluids over a tilted porous plate and found that increasing the tilt angles has enhanced the distribution of temperature and concentration.…”

Section: Introductionmentioning

confidence: 99%

Entropy generation in MHD nanofluid flow with heat source/sink

Tlau

Ontela

2019

SN Appl. Sci.

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This work investigates the generation of entropy in the presence of a heat source/sink in a sloping channel filled with porous medium in magnetohydrodynamic nanofluid flow. The regulating equations are nonlinear and coupled thermal and hydrodynamic equations. Homotopy analysis method is used in the handling of equations. Comparisons with existing literature have been produced and were discovered to be in excellent accord, which are a particular situation of the present issue. The impact on entropy generation, Bejan number, Nusselt number and skin friction of pertinent fluid parameters is addressed, developed and displayed graphically. Entropy generation was found to be minimum just above the center of the channel throughout the study. Skin friction and Nusselt number were found to be higher for the case of heat generation than heat absorption.

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Mixed convection flow of an electrically conducting fluid in a vertical channel using Robin boundary conditions with heat source/sink

Cited by 33 publications

References 18 publications

Dufour Effect with Ramped Wall Temperature and Specie Concentration on Natural Convection Flow through a Channel

Dufour Effect with Ramped Wall Temperature and Specie Concentration on Natural Convection Flow through a Channel

Numerical Simulation of Williamson Combined Natural and Forced Convective Fluid Flow between Parallel Vertical Walls with Slip Effects and Radiative Heat Transfer in a Porous Medium

Entropy generation in MHD nanofluid flow with heat source/sink

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