Dufour and Soret effect on heat and mass transfer with radiative heat flux in a viscous liquid over a rotating disk

Shah, Rehan Ali; Shuaib, Muhammad; Khan, Aamir

doi:10.1140/epjp/i2017-11632-4

Cited by 10 publications

(11 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…He found out that an increase in the magnetic number led to a decrease in the velocity of the fluid. Similarly the effect of magnetic field and heat transfer have also been studied in detail by [7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates

et al. 2019

Self Cite

View full text Add to dashboard Cite

The Poisson-Boltzmann equation is derived from the assumption of thermodynamic equilibrium where the ionic distribution is not affected by fluid flow. Although this is a reasonable assumption for steady electroosmotic flow through straight micro-channels, there are some important cases where convective transport of ions has nontrivial effects. In these cases, it is necessary to adopt the Nernst-Planck equation instead of the Poisson-Boltzmann equation to model the internal electric field. The modeled system of equations is transformed by similarity transformation to derive the equations of flow field, electric potential, electrokinetic force, entropy generation, and energy equation. The Parametric Continuation Method (PCM) is used to solve the system of ordinary differential equations. It is concluded that decrease in the mass diffusion decreases the anion distribution from lower to upper plate. The Batchelor number decreases the strength of magnetic field. Entropy generation and the Bejan number are maximum near the two plates because of the maximum disorderness due to plate movements and have minimum value in the fluid's center. Also the Eckert number increases viscous heating, which causes the entropy production in the vicinity of the two plates to increase.

show abstract

Section: Introductionmentioning

confidence: 99%

Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…19 The lower porous disc is prohibited from moving in the axial direction, where upper disc is rotating and moving toward or away from constrained lower disc. The fluid is assumed to be incompressible having a variable viscosity 24 given by…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Following experimental study, the above parameters of magnetic field are zero on the lower disc. 24 The induced magnetic field ðB r ; B q ; B z Þ in the fluid is generated by the magnetic field H. Under these assumptions, the governing equations in vector form are 25,26 :…”

Section: Formulation Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

Parametric analysis of magnetic field-dependent viscosity and advection–diffusion between rotating discs

Shah

Khan

Ali

2020

Advanced Composites Letters

Self Cite

View full text Add to dashboard Cite

The constitutive expressions of unsteady Newtonian fluid are employed in the mathematical formulation to model the flow between the circular space of porous and contracting discs. The flow behavior is investigated for magnetic field-dependent (MFD) viscosity and heat/mass transfers under the influence of a variable magnetic field. The equation for conservation of mass, modified Navier-Stokes, Maxwell, advection diffusion and transport equations are coupled as a system of ordinary differential equations. The expressions for torques and magnetohydrodynamic pressure gradient equation are derived. The MFD viscosity J, magnetic Reynolds number @ em , squeezing Reynolds number @ b , rotational Reynolds number @ a , magnetic field components @ c , @ d , pressure F pres and the torques % 0 0 , % 1 which the fluid exerts on discs are discussed through numerical results and graphical aids. It is concluded that magnetic Reynolds number causes an increase in magnetic field distributions and decrease in tangential velocity of flow field, also the fluid temperature is decreasing with increase in magnetic Reynolds number. The azimuthal and axial components of magnetic field have opposite behavior with increase in MFD viscosity.

show abstract

“…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.

View full text Add to dashboard Cite

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...

show abstract

Dufour and Soret effect on heat and mass transfer with radiative heat flux in a viscous liquid over a rotating disk

Cited by 10 publications

References 30 publications

Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates

Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates

Parametric analysis of magnetic field-dependent viscosity and advection–diffusion between rotating discs

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

Contact Info

Product

Resources

About