Flow and heat transfer of Ostwald-de Waele fluid over a variable thickness rotating disk with index decreasing

Xun, Shuo; Zhao, Jinhu; Zheng, Liancun; Chen, Xuehui; Zhang, Xinxin

doi:10.1016/j.ijheatmasstransfer.2016.08.066

Cited by 95 publications

(32 citation statements)

References 22 publications

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“…A comparison of the present results corresponding to the values of

f' false(0 false)

and

[- θ' false(0 false)]

with the available published results of Ming et al, Anderson et al, Xun et al, and Hayat et al is made numerically in Table . The results are found in good agreement.…”

Section: Resultsmentioning

confidence: 60%

See 1 more Smart Citation

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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“…A comparison of the present results corresponding to the values of

f' false(0 false)

and

[- θ' false(0 false)]

with the available published results of Ming et al, Anderson et al, Xun et al, and Hayat et al is made numerically in Table . The results are found in good agreement.…”

Section: Resultsmentioning

confidence: 60%

“…Later, Cochran pointed out errors in von‐Karman's momentum integral solutions and gave more accurate results. Later on, researchers investigated various physical problems …”

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

show abstract

“…Heat transfer to von Kármán flow of power-law fluid was considered by Ming et al [21] through a generalized Fourier model based on temperature dependent thermal conductivity. Xun et al [22] analyzed the flow of shear-thinning fluid along a variable thickness rotating disk. Very recently, Tabassum and Mustafa [23] examined the von-Kármán flow of Reiner-Rivlin fluid subject to partial slip using shooting method.…”

Section: Introductionmentioning

confidence: 99%

Second law analysis of heat transfer in swirling flow of Bingham fluid by a rotating disk subjected to suction effect

2021

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This framework presents heat transfer analysis for swirling flow of viscoplastic fluid bounded by a permeable rotating disk. Problem formulation is made through constitutive relations of Bingham fluid model. Viscous dissipation effects are preserved in the mathematical model. Entropy production analysis is made which is yet to be explored for the von-Kármán flow of non-Newtonian fluids. Having found the similarity equations, these have been dealt numerically for broad parameter values. The solutions are remarkably influenced by wall suction parameter and Bingham number which measures the fluid yield stress. Akin to earlier numerical results, thermal boundary layer suppresses upon increasing wall suction velocity. Thermal penetration depth is much enhanced when fluid yield stress becomes large. Higher heat transfer rate can be accomplished by employing higher suction velocity at the disk. However, deterioration in heat transfer is anticipated as fluid yield stress enlarges. Current numerical results are in perfect line with those of an existing article in limiting sense.

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“…Ming et al examined the salient features of generalized diffusion and heat transfer in power‐law liquid flow in the matter of disk rotation. Xun et al deliberated numerically the flow configurations of Ostwald‐de Waele liquid flow owing to rotation of the disk. Hayat et al addressed the series solutions of the viscous liquid flow model towards a rotating stretchable disk.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamics slip flow of a nanofluid through an oscillatory disk under porous medium supremacy

Rauf

Abbas

Shehzad

2019

Heat Trans. Asian Res.

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Unsteady, three-dimensional, hydromagnetic, nanofluid flow via a circular disk in porous medium is considered. The fluid motion is subject to disk rotation and time-based sinusoidal oscillations. The flow problem is normalized via similarity variables. Partial slip boundary conditions on velocity, concentration, and temperature are considered. A well-established numerical technique (successive over relaxation method) is used for the time-based flow problem. Results are discussed for both the time-based and linearly rotating disk case. Graphical representations for one, two, and three dimensions are sketched. The results are also discussed through tabular forms. K E Y W O R D S magnetohydrodynamics, nanofluid, oscillatory rotating disk, partial slip, porous medium, time-dependent flow 1 | INTRODUCTIONThe fluid flow concept through rotating disk systems has attracted significant attention from research scientists world-wide as a key area for future modernization and development in industrial processes. The major applications of such systems include the modeling of conditions that are found inside the wheel spacing of gas turbines, rotation of disks in an infinite rotating disk or resting fluid, contra-rotating disks for wheel space modeling in contra-rotating disks of existing engines, rotating cavity to model the conditions between compressor disks or corotating turbines, thin film fluid flow through a rotating surface, conical diffuser circulative flow, impinging jet disk cooling, shrouded rotation of disks and so forth. Moreover these systems are widely applicable in electrochemistry, power engineering, chemical engineering, aerodynamical

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Flow and heat transfer of Ostwald-de Waele fluid over a variable thickness rotating disk with index decreasing

Cited by 95 publications

References 22 publications

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

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

Second law analysis of heat transfer in swirling flow of Bingham fluid by a rotating disk subjected to suction effect

Magnetohydrodynamics slip flow of a nanofluid through an oscillatory disk under porous medium supremacy

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