A Note on Oscillatory Couette Flow in a Rotating System

Ganapathy, R.

doi:10.1115/1.2901403

Cited by 82 publications

(37 citation statements)

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“…19-24 with the boundary conditions (25) and substituting the solutions into Eqs. 17 and 18, we obtain (see Ganapathy [16])…”

Section: Governing Equations and The Boundary Conditionsmentioning

confidence: 99%

“…It should be mentioned that the form of the velocity " uð0; " tÞ, assumed in the boundary conditions (5), is based on that proposed by Ishigaki [20] and Ganapathy [16]. Here " u; " v and " w are the velocity components along the " x; " y and " z-axis, respectively, T is the local temperature of the nanofluid and Q is the additional heat source.…”

Section: Governing Equations and The Boundary Conditionsmentioning

confidence: 99%

“…The aim is to investigate the influence of solid volume fraction parameter / on the flow and heat-transfer characteristics for various nanoparticles considered. The mathematical analysis and the corresponding solutions have been presented in the form of Ganapathy [16].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Unsteady MHD free convection flow past a vertical permeable flat plate in a rotating frame of reference with constant heat source in a nanofluid

2011

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The unsteady magnetohydrodynamic flow of a nanofluid past an oscillatory moving vertical permeable semi-infinite flat plate with constant heat source in a rotating frame of reference is theoretically investigated. The velocity along the plate (slip velocity) is assumed to oscillate on time with a constant frequency. The analytical solutions of the boundary layer equations are assumed of oscillatory type and they are obtained by using the small perturbation approximations. The influence of various relevant physical characteristics are presented and discussed.

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“…19-24 with the boundary conditions (25) and substituting the solutions into Eqs. 17 and 18, we obtain (see Ganapathy [16])…”

Section: Governing Equations and The Boundary Conditionsmentioning

confidence: 99%

Section: Governing Equations and The Boundary Conditionsmentioning

confidence: 99%

See 1 more Smart Citation

Unsteady MHD free convection flow past a vertical permeable flat plate in a rotating frame of reference with constant heat source in a nanofluid

2011

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“…(13)- (16) under the boundary conditions (17) in the neighborhood of the plate, we assume that [see Ganapathy (1994)]…”

Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

Chemical reaction and radiation absorption effects on the flow and heat transfer of a nanofluid in a rotating system

Venkateswarlu¹,

Narayana

2014

Appl Nanosci

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The aim of this paper is to study the effects of radiation absorption and chemical reaction on MHD free convection heat transfer flow of a nanofluid bounded by a semi-infinite flat plate in a rotating frame of reference. The plate is assumed to oscillate in time with steady frequency so that the solutions of the boundary layer are the similar oscillatory kind. The entire system rotates about the axes normal to the plate. The dimensionless governing differential equations for this investigation are solved analytically using perturbation method. The effects of various important parameters entering into the problem on velocity, temperature, skin friction and Nusselt number within the boundary layer are discussed for Cu-water-based nanofluid with the help of graphs. The predicted consequences obviously point out that the presence of nanoparticles in the base fluid improves the heat transfer process significantly. The results also show that the values of Nusselt number in case of nanofluid are more pronounced than that of micropolar fluid.

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“…The MHD flow through a duct/planar channels has also been studied by various researchers [10][11][12][13][14][15][16] . Ganapathy 17 gave an alternative solution to the previous problem. Mazumder et al, 18 analyzed the Hall effects on combined free and forced convection hydromagnetic flow through a channel.…”

Section: Introductionmentioning

confidence: 99%

Hall effects on MHD Convective flow of Visco-elastic fluid through a rotating porous channel

Raju¹,

Prasad²

2016

jusps-A

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In this paper, we consider hydromagnetic convective flow of an electrically conducting visco-elastic fluid through a rotating porous channel taking hall current into account. The governing equations are framed using Brinkman model. The exact solutions of the velocity and the temperature distributions are evaluated analytically using Laplace transform technique and which consist of the both steady and transient states. Thought is centered on the physical character of the solutions, and the construction of the various kinds of boundary layers outward appearance on the plates. The ultimate steady state velocity and temperature distributions are numerically discussed for various values of the flow parameters. The shear stresses and the Nusselt number are tabulated and discussed.

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A Note on Oscillatory Couette Flow in a Rotating System

Abstract: An alternative solution is proposed for the oscillatory Ekman boundary layer flow bounded by two parallel plates in relative motion (Muzumder, 1991). The solution brings out among other things, the phenomenon of resonance which is of importance in rotating systems.

Cited by 82 publications

References 0 publications

Unsteady MHD free convection flow past a vertical permeable flat plate in a rotating frame of reference with constant heat source in a nanofluid

Unsteady MHD free convection flow past a vertical permeable flat plate in a rotating frame of reference with constant heat source in a nanofluid

Chemical reaction and radiation absorption effects on the flow and heat transfer of a nanofluid in a rotating system

Hall effects on MHD Convective flow of Visco-elastic fluid through a rotating porous channel

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