The Influence of Ekman Number on Flows Over an Oscillating Isothermal Vertical Plate in a Rotating Frame

Imran, Muhammad; Vieru, Dumitru; Mirza, Itrat Abbas

doi:10.18869/acadpub.jafm.67.223.22941

Cited by 5 publications

(3 citation statements)

References 28 publications

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“…At the same time the plate temperature is changed to p T (0 <t <to) and Tp ( t  to). The movement of the plate and the free convection causes the fluid motion.Geometry of the problem(Imranet al [25]) is presented in Fig. 1.…”

Section: Mathematical Calculationmentioning

confidence: 99%

MHD Flow Along a Vertical Plate with Heat and Mass Transfer under Ramped Plate Temperature

2023

jjmie

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Present study is carried out to examine the effects of Porosity, thermophoresis, and rotation on the unsteady natural convective flow of an incompressible, viscous and electrically conducting fluid past an impulsively started vertical plate in a porous medium under the influence of a magnetic field with ramped wall temperature condition. Analytical solution of partial differential equations of the model is obtained by the Laplace transform method with the help of the Heaviside step function; also the expression for the Sherwood Number, Nusselt Number and Shear stress at the plate is obtained. The obtained results are checked against previously published work for special cases of the problem and found to be in excellent agreement. The results obtained are shown by graphs. The effect of physical parameters such as M (Magnetic parameter), K (Darcy permeability), Sr (Soret number) and Ω (rotation parameter) on these fields are discussed in detail, and it has been observed that for both isothermal and ramped temperature plates; primary and secondary fluid velocity attain a different maximum value in the vicinity of the plate and then decrease gradually. The conclusions of the study have great applications in the field of science and engineering such as in rotating MHD induction machine energy generators, Magnetic field control of materials processing systems, planetary and solar plasma fluid dynamics systems, etc.

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Section: Mathematical Calculationmentioning

confidence: 99%

MHD Flow Along a Vertical Plate with Heat and Mass Transfer under Ramped Plate Temperature

2023

jjmie

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“…al. [8], Hayat et al [9], Kumari and Nath [10], Muthucumaraswamy et al [11], M. A. Imran (2014)), [12]. However, it is worth pointing out that all these papers have a common specific feature.…”

Section: Introductionmentioning

confidence: 98%

General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid

Imran¹

2015

AJAM

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An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform technique. At the final stage, the effects of pertinent parameters on the fluid motion are numerically and graphically illustrated. A comparison between the numerical values of the velocity components given by the analytical solution and, by the Stehfest's algorithm for the inverse Laplace transform is presented.

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“…Muthucumarasway et al 23,24 have also considered the rotational effect of over a free convectional motion of viscous fluid for mass diffusion. Imran et al 25 has derived the interesting results of velocity and temperature for the free convectional flow in the rotating frame. Krishna and Reddy 6 have presented the effect of reaction and Joul’s current for a rotating flow of fluid with MHD.…”

Section: Introductionmentioning

confidence: 99%

MHD rotational flow of viscous fluid past a vertical plate with slip and Hall effect through porous media: A theoretical modeling with heat and mass transfer

Ayub

Ahmad

2022

Advances in Mechanical Engineering

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As the slip at the solid boundary is an essential attribute for fluid flow in different mechanical situations. Therefore this article aims to explain the slip effect over the free convection and rotating flow of viscous fluid over an extended plate with heat and mass transfer in the presence of magnetic field of the constant magnitude through a porous medium. The respective fluid is chemically reacting fluid hence the effect of chemical reaction with the effect of heat absorption is considered in the development of governing equations. To get the better physical understanding of flow model the governing equations are reduced to dimensionless form. The dimensionless governing equations are solved with aid of Laplace transform and closed form solutions are developed for the thermal, concentration and velocity fields. The real and imaginary components of velocity field are also plotted for the variation of different physical parameters and parametric discussion is posted with assistance of these plotted graphs. In the light of parametric discussion it is concluded that with heat and mass transfer there is more bouncy effect in flow domain. Further in the presence of hall effect fluid speeds up while it is slow down with increasing value of magnetic and slip parameters

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The Influence of Ekman Number on Flows Over an Oscillating Isothermal Vertical Plate in a Rotating Frame

Cited by 5 publications

References 28 publications

MHD Flow Along a Vertical Plate with Heat and Mass Transfer under Ramped Plate Temperature

MHD Flow Along a Vertical Plate with Heat and Mass Transfer under Ramped Plate Temperature

General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid

MHD rotational flow of viscous fluid past a vertical plate with slip and Hall effect through porous media: A theoretical modeling with heat and mass transfer

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