Flow of a power-law fluid over a rotating disk revisited

Andersson, Helge I.; Korte, E. de; Meland, Roar

doi:10.1016/s0169-5983(00)00018-6

Cited by 99 publications

(42 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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.

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

“…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

“…Data most closely aligned with the experiment with respect to statement are cited in [9], where the slow circulation flow of a viscous liquid over a disk rotating in the horizontal plane was investigated; results of visual observations of the eddy structures are not presented here, however, and only an analytical description of the circulation flow observed is given.…”

mentioning

confidence: 88%

Dynamics of Eddy-Flow Formation in Hydrodynamic Vessels and Devices

Safulin

2005

Chem Petrol Eng

View full text Add to dashboard Cite

Results of experiments on the dynamics of the formation, evolution, and dissipation of a tornado-like eddy in a viscous liquid are presented. Photographs of eddies and graphical materials based on results of their processing are presented. An explanation is proposed for the influence exerted by various factors on the development of eddy flows.Hydrodynamic devices and vessels, the operation of which is based on the use of circulation, helical, and eddy flows, are widely used in the chemical and some other branches of industry. In similar vessels, the classification of which includes hydrocyclones, liquid separators, sedimentation and filtering centrifuges, mass-exchange columns with vortex elements, vortex tubes, static mixers, etc., the separation of different classes of heterogeneous systems (liquid and gaseous suspensions, emulsions, colloids, vapor-liquid systems) is based on the effect of centrifugal forces that develop in any swirling flows [1,2].In different vessels with mixing devices, the forced circulation flow of a continuous medium is also restricted during rotation of the mixer [3]. A change in the geometry of the mixer (number of blades, area, configuration, angle of attack, etc.) will lead to a change in the relationship between the components of the total-velocity vector in a three-dimensional flow (eddy): radial, linear, and circumferential [4].During artificially induced swirling of continuous media, eddy structures (funnels, and tornado-and waterspout-like eddies) develop in these vessels. Their formation, evolution, and dissipation in each specific case is accomplished ambiguously due to the major influence exerted on this process by a multitude of factors (physical, process, structural).The effect of natural eddy formation, i.e., the development of a funnel during circulation movement of a liquid, is manifested as the liquid is discharged from a container through a circular opening in the bottom of the vessel [5]; this is a result of both geometric asymmetry, and also fluctuation of physical and production parameters in the system. It should be pointed out that in engineering practice, vessels are rarely employed, where eddies form under conditions of known geometric asymmetry; this will appreciably effect the efficiency of the production process ("washing-machine" effect) [5].Increased interest by specialists in the problem of eddy formation in continuous media, which is suggested by a number of studies [6-9], has recently been noted. Despite the existence of voluminous theoretical and experimental data on the structure of eddy flows and laws governing the processes that occur in them, modeling of eddies remains one of the urgent problems in the design of industrial plants.Let us examine the dynamics of the formation, evolution, and dissipation of a tornado-like eddy (TE) in a viscous liquid, and also laws governing the behavior of TE affected by various factors (amount of energy supplied, geometric dimensions of vessel subassemblies, the scale parameters of the system, etc.).To conduct the i...

show abstract

“…Erdogan [10] studied the flow which was induced and implemented in a non-torsional fluctuation and a rotation of fluid infinitely by non-coaxial disk revolution. Anderson et al [11] returned power-law fluid flow to a completed spinning disk. Takhar et al [12] worked on unstable flow of MHD and the transfer of heat over a moving disk and the fluid was ambient.…”

Section: Introductionmentioning

confidence: 99%

Spinning Flow of Casson Fluid near an Infinite Rotating Disk

Khan

Husain

2015

MCA

View full text Add to dashboard Cite

Abstract-This paper presents an investigation of the spinning flow of a non-Newtonian Casson fluid over a rotating disk. The model established for the governing problem in the form of partial differential equations has been converted to ordinary differential equations with the use of suitable similarity transformation. The analytical approximation has been made with the most likely analytical method, homotopy analysis method (HAM). The convergence region of the obtained solution is determined and plotted. The velocity profiles are shown and the influence of Casson parameter is discussed in detail. Also comparison has been made with the Newtonian fluid as the special case of considered problem.

show abstract

Flow of a power-law fluid over a rotating disk revisited

Cited by 99 publications

References 16 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

Dynamics of Eddy-Flow Formation in Hydrodynamic Vessels and Devices

Spinning Flow of Casson Fluid near an Infinite Rotating Disk

Contact Info

Product

Resources

About