Wall temperature oscillation on convection flow in a rotating fluid with hall and ion-slip currents

PurposeThe purpose of this paper is to deal with an unsteady natural convection flow of a rotating fluid past an exponential accelerated vertical plate. The effect of Hall current, ion-slip and magnetic field is considered. Two types of plate temperature, namely, uniform and ramped temperature are considered to model heat transfer analysis.Design/methodology/approachThe Laplace transform technique is employed to find the closed form solutions for velocity, temperature and concentration.FindingsThe effects of flow governing parameters on the velocity profile, temperature profile, concentration profile, skin friction, Nusselt and Sherwood numbers are discussed and presented through graphs and tables. It is found that fluid velocity in the primary flow direction decreases with the increase in the magnetic parameter.Originality/valueFirst time in the literature, the authors obtained closed form solution to natural convection flow of a rotating fluid past an exponential accelerated vertical plate.

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Effects of Hall current and wall temperature oscillation on convective flow in a rotating fluid through porous medium

Wärme- und Stoffübertragung ◽

10.1007/bf01785406 ◽

1990 ◽

Vol 25 (4) ◽

pp. 205-208 ◽

Cited By ~ 3

Author(s):

P. C. Ram

Keyword(s):

Porous Medium ◽

Wall Temperature ◽

Convective Flow ◽

Hall Current ◽

Temperature Oscillation ◽

Rotating Fluid

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Hall effects on hydromagnetic convection flow in a rotating fluid

Astrophysics and Space Science ◽

10.1007/bf00639723 ◽

1989 ◽

Vol 158 (2) ◽

pp. 189-195 ◽

Cited By ~ 1

Author(s):

P. C. Ram

Keyword(s):

Convection Flow ◽

Rotating Fluid ◽

Hall Effects

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Unsteady MHD Natural Convective Flow of a Rotating Fluid over an Infinite Vertical Plate due to Oscillatory Movement of the Free-Stream with Hall and Ion-Slip Currents

Diffusion Foundations ◽

10.4028/www.scientific.net/df.11.146 ◽

2017 ◽

Vol 11 ◽

pp. 146-161 ◽

Cited By ~ 3

Author(s):

Jitendra Kumar Singh ◽

Gauri Shenkar Seth ◽

S. Ghousia Begum

Keyword(s):

Fluid Flow ◽

Convective Flow ◽

Vertical Plate ◽

Free Stream ◽

Flow Direction ◽

Rotating Fluid ◽

Oscillatory Movement ◽

Buoyancy Forces ◽

Ion Slip ◽

Infinite Vertical Plate

In the present research study a mathematical analysis has been presented for unsteady MHD natural convective flow of a rotating fluid over an infinite vertical plate immersed in a fluid saturated porous medium with oscillating free-stream. The effects of Hall and ion-slip currents also considered on the fluid flow. The unsteady MHD flow over the vertical plate is induced due to thermal and concentration buoyancy forces and oscillatory movement of the free-stream. The partial differential equations governing the motion for the fluid flow are solved analytically. The effects of various pertinent flow parameters on the fluid velocity, fluid temperature and species concentration are presented in graphical form whereas that on skin friction and rate of heat and mass transfer at the plate are presented in tabular form. An interesting observation recorded from the present analysis that there appears reversal flow in the secondary flow direction due to presence of thermal and/or concentration buoyancy forces. However, in the absence of both reversals flow does not exist in the secondary flow direction. It is also noted that the thickness of momentum boundary layer decreases with rise in frequency of oscillations of the free-stream.

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Exact Solutions for Unsteady Free Convection Flow of Casson Fluid over an Oscillating Vertical Plate with Constant Wall Temperature

Abstract and Applied Analysis ◽

10.1155/2015/946350 ◽

2015 ◽

Vol 2015 ◽

pp. 1-8 ◽

Cited By ~ 9

Author(s):

Asma Khalid ◽

Ilyas Khan ◽

Sharidan Shafie

Keyword(s):

Differential Equations ◽

Exact Solutions ◽

Wall Temperature ◽

Vertical Plate ◽

Fluid Model ◽

Casson Fluid ◽

Convection Flow ◽

Constant Wall Temperature ◽

Transform Method ◽

Casson Fluid Model

The unsteady free flow of a Casson fluid past an oscillating vertical plate with constant wall temperature has been studied. The Casson fluid model is used to distinguish the non-Newtonian fluid behaviour. The governing partial differential equations corresponding to the momentum and energy equations are transformed into linear ordinary differential equations by using nondimensional variables. Laplace transform method is used to find the exact solutions of these equations. Expressions for shear stress in terms of skin friction and the rate of heat transfer in terms of Nusselt number are also obtained. Numerical results of velocity and temperature profiles with various values of embedded flow parameters are shown graphically and their effects are discussed in detail.

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