Unsteady flow of viscous incompressible fluid with temperature-dependent viscosity due to a rotating disc in presence of transverse magnetic field and heat transfer

Hossain, Md. Anwar; Hossain, Akter; Wilson, Mike

doi:10.1016/s1290-0729(00)01183-2

Cited by 29 publications

(29 citation statements)

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“…The equations for the mean flow are similar to those formulated by Sparrow and Cess [10], Thacker et al [12], and Hossain et al [13] for a rotating-disk flow when subjected to a uniform magnetic field imposed normal to the disk. It can be shown that the equations imply that H → h ∞ where the value of h ∞ is a constant vertical velocity of the rotating fluid in the far field above the disk, and it has to be found numerically in the course of the solution of Equations (4) and (5).…”

Section: The Mean-flow Equationsmentioning

confidence: 77%

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Convective and Absolute Instability in the Incompressible Boundary Layer on a Rotating Disk in the Presence of a Uniform Magnetic Field

Jasmine

Gajjar

2005

J Eng Math

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The stability of a conducting fluid flow over a rotating disk with a uniform magnetic field applied normal to the disk, is investigated. It is assumed that the magnetic field is unaffected by the motion of the fluid. The mean flow and linear stability equations are solved for a range of magnetic field-strength parameters and the absolute/convective nature of the stability is investigated. It is found that increasing the magnetic field parameter is in general stabilizing.

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Section: The Mean-flow Equationsmentioning

confidence: 77%

“…The predictions (13) are tested against the full numerical solution of the equations (6) for large m at a fixed Reynolds number. Figure 14 show that the results are consistent with (13).…”

Section: Some Asymptotic Stability Propertiesmentioning

confidence: 99%

Convective and Absolute Instability in the Incompressible Boundary Layer on a Rotating Disk in the Presence of a Uniform Magnetic Field

Jasmine

Gajjar

2005

J Eng Math

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“…Because the vertically applied magnetic field can strongly influence the character of the flow and temperature fields, a number of researches were also devoted to this subject, amongst them are the analytical and numerical investigations of Refs. [36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

A class of exact solutions for the incompressible viscous magnetohydrodynamic flow over a porous rotating disk

Türkyılmazoğlu

2012

Acta Mech Sin

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The present paper is concerned with a class of exact solutions to the steady Navier-Stokes equations for the incompressible Newtonian viscous electrically conducting fluid flow due to a porous disk rotating with a constant angular speed. The three-dimensional hydromagnetic equations of motion are treated analytically to obtained exact solutions with the inclusion of suction and injection. The well-known thinning/thickening flow field effect of the suction/injection is better understood from the constructed closed form velocity equations. Making use of this solution, analytical formulas for the angular velocity components as well as for the permeable wall shear stresses are derived. Interaction of the resolved flow field with the surrounding temperature is further analyzed via the energy equation. The temperature field is shown to accord with the dissipation and the Joule heating. As a result, exact formulas are obtained for the temperature field which take different forms corresponding to the condition of suction or injection imposed on the wall.

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“…As this physical property may change significantly with temperature, to predict the exact behavior of the fluid, it may be necessary to consider the variation of viscosity for incompressible fluids. Hossain et al (2001) investigated the unsteady flow of an incompressible viscous fluid with temperature dependent viscosity due to the rotation of a disk in the presence of a transverse magnetic field and heat transfer. The Hall effect was also addressed by other researchers.…”

Section: Introductionmentioning

confidence: 99%

Network Method to Study Magnetohydrodynamic Flow and Heat Transfer about Rotating Disk

Zueco

Rubio

2012

Engineering Applications of Computational Fluid Mechanics

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ABSTRACT:The study of magnetohydrodynamic unsteady laminar flow with heat transfer of an incompressible viscous fluid about a rotating disk is investigated in this work. The effect of an external uniform magnetic field on velocity and temperature is considered. The numerical solutions of the equations representing the process are obtained by the method of Network Simulation. The results for the components velocity, as well as temperature and pressure are represented. Steady case has been included to be compared with the work done by Sparrow and Cess (1960). The transient case has also been analyzed and the effect of the parameters involved has been considered.

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Unsteady flow of viscous incompressible fluid with temperature-dependent viscosity due to a rotating disc in presence of transverse magnetic field and heat transfer

Cited by 29 publications

References 0 publications

Convective and Absolute Instability in the Incompressible Boundary Layer on a Rotating Disk in the Presence of a Uniform Magnetic Field

Convective and Absolute Instability in the Incompressible Boundary Layer on a Rotating Disk in the Presence of a Uniform Magnetic Field

A class of exact solutions for the incompressible viscous magnetohydrodynamic flow over a porous rotating disk

Network Method to Study Magnetohydrodynamic Flow and Heat Transfer about Rotating Disk

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