Soret and Dufour effects on MHD slip flow with thermal radiation over a porous rotating infinite disk

Devi, S. P. Anjali; Devi, Rema

doi:10.1016/j.cnsns.2010.08.020

Cited by 40 publications

(12 citation statements)

References 19 publications

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“…In 1980, Joseph 16 offered the slip condition in terms of stress at the boundary and tangential components of the velocity. Following his footsteps, many studies have been presented in the past few years 17–22 . Recently, the superhydrophobic surfaces have gained remarkable attention because of their ability to reduce skin‐friction drag and self‐cleaning properties.…”

Section: Introductionmentioning

confidence: 99%

Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Khan

Sultan

2020

Heat Trans

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This article presents flow, heat and mass transfer phenomena in Bingham plastic fluid. The flow channel is considered to be a rotating disk with a slip which is different in span and streamwise directions, and heat transfer is investigated using dissipation term of the fluid. Arrhenius activation energy and binary chemical reaction are the imperative features of the study of mass transfer. Bingham plastic fluid and anisotropic slip arethe key factors of the study due to their numerous applications in manufacturing industries. On the other hand, the radiative heat transfer phenomenon is considered which is widely used in nuclear and power generating systems. The partial differential equations that govern the flow, and heat and mass transfer are converted into ordinary differential equations by utilizing von Kármán's similarity transformation for rotating disk flows. The velocity, temperature, and concentration profiles and some important physical quantities are examined against important flow parameters. It is observed that the thermal radiation showed an increasing effect on temperature profile and the activation energy enhanced the mass transfer rate. The radial slip increased the volumetric flow rate and reduced the boundary layer thickness. The tangential slip reduced the volumetric flow rate and increased the boundary layer thickness. K E Y W O R D S activation energy, anisotropic slip, Bingham fluid, rotating disk, thermal radiation | INTRODUCTIONThe motivation for investigating the flows due to rotating disk drives from their occurrence in various real-world phenomena like aerospace engineering, centrifugal pumps, rotational air cleaners, gas turbine engineering, computer storage devices, turbomachinery, and chemical engineering. This area of research was initially explored by Kármán 1 in which he proposed a similarity transformation for flows over a rotating disk. Some of the recent research in this area focused on the flow of different non-Newtonian fluids under various flow conditions. [2][3][4][5][6][7][8] In 1889, Arrhenius 9 introduced the term activation energy; the minimum energy that a chemical system with potential reactants requires to produce a chemical reaction. The phenomenon of chemical reaction in the mass transfer has attracted a great deal of interest due to its numerous applications in geothermal engineering, oil reservoir, nuclear reactor cooling, and chemical engineering, and so on. All of these applications include the collective effect of binary chemically reactive species and Arrhenius activation energy. The idea of boundary layer fluid flow under the influence of activation energy and binary chemical reaction attracted the attention of many researchers in the last decade, whereas, this concept was disclosed by Bestman 10 in 1990. Some of the recent research studies on the topic are Ijaz, 2 Dhlamini et al, 11 Majeed et al, 12 and Kiran Kumar et al. 13 The radiative heat transfer phenomenon has gained massive attention due to numerous applications of radiative effect. It is mainly use...

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Section: Introductionmentioning

confidence: 99%

Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Khan

Sultan

2020

Heat Trans

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“…Sravanthi studied magnetohydrodynamic (MHD) slip flow past an exponentially stretching sheet with Soret–Dufour effects. Entropy generation on MHD flow of Powell–Eyring fluid between radially stretching rotating disk with diffusion‐thermo and thermodiffusion effects was investigated by Khan et al Devi et al illustrated the Soret and Dufour effects on MHD slip flow with thermal radiation over a porous rotating infinite disk. Shah et al explored the Dufour and Soret effect on heat and mass transfer with radiative heat flux in a viscous liquid over a rotating disk.…”

Section: Introductionmentioning

confidence: 99%

Effect of heat source/sink on MHD flow due to porous rotating disk with variable thickness in the presence of cross diffusion

Sravanthi

2019

Heat Trans. Asian Res.

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An analysis of steady magnetohydrodynamic axisymmetric flow of a viscous incompressible electrically conducting fluid due to porous rotating disk with variable thickness in the presence of heat source/sink is presented. Soret and Dufour effects (cross-diffusion) are also considered. The governing partial differential equations are transformed into a system of nonlinear ordinary differential equations. The homotopy analysis method is used to solve the resulting coupled nonlinear equations under appropriate transformed boundary conditions. A parametric study of the physical parameters is made and results are presented through graphs and tables. The results indicate that the thermal boundary layer is thicker for the flow problems having a heat source when compared with that of the problems without a heat source. It is also found that thickness of the disk is having a high impact on fluid velocity, temperature, and concentration. K E Y W O R D S HAM, heat source/sink, MHD, porous medium, rotating disk with variable thickness, Soret-Dufour effects | INTRODUCTIONFluid flow with heat and mass transfer due to rotating disk is a classic problem, which has applications in many technological processes including rotating machinery, computer disk drives, oceanography, lubrication, and crystal growth processes, etc. 1 Von-Karman 2 was the first who identified this problem and solved it by introducing his famous transformations along with the appropriate integral method. Later, Cochran 3 pointed out errors in von-Karman's momentum integral solutions and gave more accurate results. Later on, researchers investigated various physical problems. [4][5][6][7][8][9][10][11][12][13][14][15][16][17] When heat and mass transfer occur at the same time in a moving fluid, a heat flux can also be generated by concentration gradients and this heat flux is known as Dufour effect, whereas mass flux caused by temperature gradient is known as Soret effect. Sravanthi 18 studied magnetohydrodynamic (MHD) slip flow past an exponentially stretching sheet with Soret-Dufour effects. Entropy generation on MHD flow of Powell-Eyring fluid between radially stretching rotating disk with diffusion-thermo and thermodiffusion effects was investigated by Khan et al. 19 Devi et al 20 illustrated the Soret and Dufour effects on MHD slip flow with thermal radiation over a porous rotating infinite disk. Shah et al 21 explored the Dufour and Soret effect on heat and mass transfer with radiative heat flux in a viscous liquid over a rotating disk.Heat source/sink is effective when there is a high temperature difference between the ambient fluid and surface. These effects also help to control the heat transfer. Hayat et al 22 studied the significant consequences of heat generation/absorption in a second-grade fluid due to a rotating disk. Sravanthi and Gorla 23 investigated the effects of heat source/sink on MHD Maxwell nanofluid flow exponentially stretching sheet. Sravanthi 24 illustrated slip flow of nanofluid over a stretching cylinder in the presence of nonlinear...

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“…Thermal slip may also arise in heat transfer problems and can also significantly modify both velocity and temperature characteristics both at the solid surface and deeper into the boundary layer. Several researchers have examined multiphysical flows with velocity and/or thermal slip effects including Jamil and Khan, 39 Tripathi and colleagues 40 (for viscoelastic fluids), Bég and colleagues 41 for magnetohydrodynamic heat and mass transfer, and Devi and Devi 42 for swirling disk hydromagnetic flows with cross diffusion. Sreenadha and colleagues 43 have studied analytically the wall slip effects in peristaltic propulsion and heat transfer of Williamson fluids in inclined conduits.…”

Section: Introductionmentioning

confidence: 99%

Numerical exploration of thermal radiation and Biot number effects on the flow of a non‐Newtonian MHD Williamson fluid over a vertical convective surface

Amanulla¹,

Nagendra²,

Rao³

et al. 2017

Heat Trans. Asian Res.

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A theoretical and computational study of the magnetohydrodynamic flow and free convection heat transfer in an electroconductive polymer on the external surface of a vertical plate under radial magnetic field is presented. The Biot number effects are considered at the vertical plate surface via modified boundary conditions. The Williamson viscoelastic model is employed which is representative of certain industrial polymers. The nondimensional, transformed boundary layer equations for momentum and energy are solved with the second‐order accurate implicit Keller box finite difference method under appropriate boundary conditions. Validation of the numerical solutions is achieved via benchmarking with earlier published results. The influence of Weissenberg number (ratio of the relaxation time of the fluid and time scale of the flow), magnetic body force parameter, stream‐wise variable, and Prandtl number on thermo fluid characteristics are studied graphically and via tables. A weak elevation in temperature accompanies increasing Weissenberg number, whereas a significant acceleration in the flow is computed near the vertical plate surface with increasing Weissenberg number. Nusselt number is reduced with increasing Weissenberg number. Skin friction and Nusselt number are both reduced with increasing magnetic field effect. The model is relevant to the simulation of magnetic polymer materials processing.

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Soret and Dufour effects on MHD slip flow with thermal radiation over a porous rotating infinite disk

Cited by 40 publications

References 19 publications

Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Effect of heat source/sink on MHD flow due to porous rotating disk with variable thickness in the presence of cross diffusion

Numerical exploration of thermal radiation and Biot number effects on the flow of a non‐Newtonian MHD Williamson fluid over a vertical convective surface

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