Steady flow and heat transfer of the power-law fluid over a rotating disk

Ming, Chunying; Zheng, Liancun; Zhang, Xinxin

doi:10.1016/j.icheatmasstransfer.2010.11.013

Cited by 80 publications

(63 citation statements)

References 13 publications

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“…The temperature of the disk (the surface temperature of Cu-water nanofluid) is a quadratic function of the radius. The cylindrical polar coordinate system of the boundary layer flow and heat transfer 35,36 is established to solve the Marangoni convection problem. The governing partial differential equations are transformed into a set of ordinary differential equations by generalized Kármán transformation 35 and the solutions are presented analytically and numerically.…”

Section: Mcconaghy and Finlaysonmentioning

confidence: 99%

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Marangoni boundary layer flow and heat transfer of copper-water nanofluid over a porous medium disk

Lin

Zheng

2015

AIP Advances

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In this paper we present a study of the Marangoni boundary layer flow and heat transfer of copper-water nanofluid over a porous medium disk. It is assumed that the base fluid water and the nanoparticles copper are in thermal equilibrium and that no slippage occurs between them. The governing partial differential equations are transformed into a set of ordinary differential equations by generalized Kármán transformation. The corresponding nonlinear two-point boundary value problem is solved by the Homotopy analysis method and the shooting method. The effects of the solid volume fraction, the permeability parameter and the Marangoni parameter on the velocity and temperature fields are presented graphically and analyzed in detail.

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Section: Mcconaghy and Finlaysonmentioning

confidence: 99%

“…[21][22][23][29][30][31] The governing equations for this study are based on the balance laws of mass, momentum and energy species. Taking the above assumptions into consideration, the boundary layer governing equations can be written in dimensional form as: 35,36 ∂u ∂r…”

Section: Physical Model and Mathematic Equationsmentioning

confidence: 99%

Marangoni boundary layer flow and heat transfer of copper-water nanofluid over a porous medium disk

Lin

Zheng

2015

AIP Advances

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“…Turkyilmazoglu [12] investigated the solution of an electrically conducting fluid flow and extended the Kármán viscous pump problem by taking the flow over a radially stretchable rotating disk under the influence of a uniform vertical magnetic effect and examined the magnetic effects on the flow. The steady flow of an incompressible power law fluid due to rotating infinite disk was studied by Ming, et al [13] and they provided the numerical results of the fluid flow with heat transfer effect. Rashidi, et al [14] have developed a set of nonlinear partial differential equations that corresponded with the steady convective and magnetohydrodynamic (MHD) slip flow occurred due to the rotation of a disk in the existence of viscous dissipation and Ohmic heating.…”

Section: Introductionmentioning

confidence: 99%

Entropy generation analysis and effects of slip conditions on micropolar fluid flow due to a rotating disk

2017

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This article deals with the investigation of threedimensional axisymmetric steady flow of micropolar fluid over a rotating disk in a slip-flow regime. Further, the generation of entropy due to heat transfer and fluid friction is identified. It is noticed that the entropy generation can be decreased and controlled in the presence of slip. The anisotropic slip has vital characteristics and it has a great influence on the flow field and heat transfer. The von Kármán similarity transformation is used to establish the equations governing the flow and heat transfer characteristics of the fluid. The impact of some important parameters on velocity profiles, angular velocity (microrotation) and energy distribution is discussed and illustrated through graphs and tables. The effects of physical parameters on the entropy generation and Bejan numbers are also presented graphically. In addition, the most favorable agreement is observed among the results of the present study and those of the earlier studies.

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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.

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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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Steady flow and heat transfer of the power-law fluid over a rotating disk

Cited by 80 publications

References 13 publications

Marangoni boundary layer flow and heat transfer of copper-water nanofluid over a porous medium disk

Marangoni boundary layer flow and heat transfer of copper-water nanofluid over a porous medium disk

Entropy generation analysis and effects of slip conditions on micropolar fluid flow due to a rotating disk

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

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