Unsteady flow of a viscous fluid due to non-coaxial rotations of a disk and a fluid at infinity

Erdoğan, Matem

doi:10.1016/s0020-7462(96)00065-0

Cited by 51 publications

(25 citation statements)

References 5 publications

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“…Numerical Solution is obtained by means of the BVPh2.0, a HAM Mathematica package [9,10]. For better analysis, effect f (z), the combine effect of these forces clearly effect the velocity field f. As expected, near the disk the Coriolis and centrifugal forces balance the effect of each other [16][17][18][19][20][21][22][23][24][25].…”

Section: Resultsmentioning

confidence: 99%

Study of Second Grade Fluid over a Rotating Disk with Coriolis and Centrifugal Forces

Shuaiba¹,

Ra²,

Khana³

2017

J Phys Math

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The steady flow of an incompressible second grade viscoelastic fluid above a rotating disk that is stretching in radial direction is studied. The Coriolis and centrifugal forces are taking into account. The constitutive non-linear partial differential equations are transformed to system of ordinary differential equations. For analysis Homotopy Analysis Metod (HAM) BVPh2.0 package is used. The effects of viscoelastic parameter α, rotating parameter β, stretching parameter γ, Coriolis and centrifugal forces on the velocity component are discussed.

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Section: Resultsmentioning

confidence: 99%

Study of Second Grade Fluid over a Rotating Disk with Coriolis and Centrifugal Forces

Shuaiba¹,

Ra²,

Khana³

2017

J Phys Math

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“…It is clear that the layer of thickness of order --(2~-+ ~u) -1 decreases with an increase in W0 and B0, and the layer thickness of order -~u ~ decreases with an increase in W0 and B0. The solution with zero magnetic field and a nonporous disk obtained by Erdogan [11] can be recovered directly from (3.12) and (3.13) with W0 = B0 = 0. The influence of suction (S = 0.5), blowing (S = -0.5) and no porosity (S = 0) on the boundary layer thickness at r = 12 and B0 = 0 is shown in Fig.…”

Section: -E~ (Eos ~ + I Sin ~)Erf C( (A + I/3)~/~ + ~) 'mentioning

confidence: 99%

“…The fluid is electrically conducting and assumed to be permeated by a magnetic field B0 having no components in the x-and y-directions. Following Erdogan [11] we take the boundary conditions as u=-~y, v=X?x, w=-W0 at z=0 for t>0,…”

Section: The Constitutive Equations and Boundary Conditionsmentioning

confidence: 99%

“…More recently, it has been pointed out by Erdogan [11] that if the disk and the fluid at infinity are initially at rest the problem becomes three-dimensional, and the solution cannot be obtained easily. To overcome this difficulty Erdogan [11] suggested a change in the initial condition and proposed that the disk and the fluid at infinity are initially rotating about the S-axis and suddenly set in motion, the disk rotating about the z-axis and the fluid at infinity about the s with the same angular velocity. He [11] showed that now the problem is solvable and presents an analytical solution for the velocity field.…”

Section: Introductionmentioning

confidence: 99%

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Unsteady MHD flow due to non-coaxial rotations of a porous disk and a fluid at infinity

et al. 2001

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Summary. An exact solution of the unsteady three-dimensional Navier-Stokes equations is derived for the case of flow due to non-coaxial rotations of a porous disk and a fluid at infinity in the presence of a uniform transverse magnetic field. An analytical solution of the problem is established by the method of Laplace transform, and the velocity field is presented in terms of the tabulated functions. It is found that the boundary layer thickness in the cases of suction/blowing decreases with the increase in the magnetic parameter.

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“…The non-Newtonian flow due to a disk and a fluid at infinity which are rotating noncoaxially at a slightly different angular velocity has been studied by Erdogan [5]. An exact solution of the three dimensional Navier-Stokes equations for the flow due to non-coaxial rotations of a porous disk and a fluid at infinity has been studied by Erdogan [6,7]. Pop [8] was the first to consider the unsteady flow produced by a disk and a fluid at infinity.…”

Section: Introductionmentioning

confidence: 99%

Hall effects on unsteady hydromagnetic flow induced by an eccentric–concentric rotation of a disk and a fluid at infinity

Das

Jana

2014

Ain Shams Engineering Journal

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The unsteady hydromagnetic flow of a viscous incompressible electrically conducting fluid induced by a sudden coincidence of two axes of rotation while a disk and the fluid at infinity are initially rotating with the same angular velocity about non-coincident axes in the presence of an axial uniform magnetic field has been examined considering the Hall effects. An exact solution of the governing equations has been obtained by the Laplace transform technique. The asymptotic behavior of the flow has been analyzed for small as well as large times to highlight transient approach to the steady state flow. It is found that the velocity components increase with an increase in Hall parameter. It is also found that for large time the steady state is reached through inertial oscillations. It is found that the solution for small values of time converges more rapidly than the general solution.Ó 2014 Production and hosting by Elsevier B.V. on behalf of Ain Shams University.

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Unsteady flow of a viscous fluid due to non-coaxial rotations of a disk and a fluid at infinity

Cited by 51 publications

References 5 publications

Study of Second Grade Fluid over a Rotating Disk with Coriolis and Centrifugal Forces

Study of Second Grade Fluid over a Rotating Disk with Coriolis and Centrifugal Forces

Unsteady MHD flow due to non-coaxial rotations of a porous disk and a fluid at infinity

Hall effects on unsteady hydromagnetic flow induced by an eccentric–concentric rotation of a disk and a fluid at infinity

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