Effect of coriolis force on vorticity covariance in MHD turbulent flow of dusty fluid

Sarker, M. S. Alam

doi:10.1002/(sici)1099-114x(199712)21:15<1399::aid-er342>3.0.co;2-5

Cited by 3 publications

(3 citation statements)

References 4 publications

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“…Mitteilungen (1972) analyzed the unsteady induced hydromagnetic convective free flow in a semi-infinite body of an incompressible fluid bounded by an infinite rigid body undergoing rotation with an angular velocity and investigated the simultaneous effects of Coriolis force and rotation on the hydromagnetic flow. Sarker (1997) theoretically studied the effect of Coriolis force on the vorticity covariance of magnetohydrodynamic turbulent flow of dusty incompressible flow and obtained a general set of equations to determine the vorticity covariance of magnetohydrodynamic dusty fluid turbulent flow in the presence of Coriolis force which agrees with literature where the Coriolis term is ignored. In a study by Hasan and Sanghi (2007), the role of Coriolis forces in twodimensional thermally driven flows in rotating enclosures of an arbitrary cross section was examined theoretically.…”

Section: Background Informationsupporting

confidence: 71%

Exploration of Coriolis force on motion of air over the upper horizontal surface of a paraboloid of revolution

et al. 2020

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The significance of Coriolis force on the flow of air across a surface in rotating frame of reference is of prime importance in Astrophysics, Stellar dynamics, oceanography, meteorology and dynamo theory by influencing the movement of fluid upon the surface of the Earth. Sequel to the importance of Newtonian fluids (i.e. air and water), it is worthwhile to investigate the influence of Coriolis force on such flow. This is necessary due to the fact that Coriolis force is the only explanation for how the air heated by the Sun reaches the Earth. The significance of rotational force on the flow of Newtonian fluids over an upper horizontal surface of a paraboloid of revolution is investigated. The flows are modeled by incorporating the Coriolis term into the body forces of Navier–Stokes equations to obtain appropriate equations for the fluids. The governing equations is nondimensionalized using appropriate Blasius similarity variables to reduce the nonlinear partial differential equations to nonlinear ordinary differential equations. The resulting system of nonlinear ordinary differential equations is solved using Runge–Kutta–Gills method with Shooting technique and the results is depicted graphically. With an increase in Coriolis force, the horizontal velocity, the vertical velocity and the shear stress near the wall decrease while the temperature distribution is an increasing property.

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Section: Background Informationsupporting

confidence: 71%

Exploration of Coriolis force on motion of air over the upper horizontal surface of a paraboloid of revolution

et al. 2020

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“…over uniform surfaces (horizontal plates, vertical plates, inclined plates etc.). 3,[5][6][7][8][9] The flowing back of the tide past London's Waterloo Bridge, as the salty water returns to the sea, interacts with the Earth's magnetic field to produce a potential difference between the two riverbanks 10 and this gave birth to the study of magnetohydrodynamic MHD flow after Michael Faraday attempted to observe "the electricity obtained by magneto-electric induction" from the motion of salt water through the Earth's magnetic field. The study of MHD became, and is still, one of the most rapidly studied area due its application in laser beam scanning, plasma confinement, nanoparticle manipulations, nuclear reactors cooling using liquid-metal, electromagnetic casting and many others.…”

Section: Introductionmentioning

confidence: 99%

Coriolis effects on MHD newtonian flow over a rotating non-uniform surface

Oke

Mutuku

Kimathi

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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The roles of the simultaneous effect of Coriolis force and Lorentz force (resulting from MHD flow) in Sunspots, solar wind, and many other natural and physical phenomenon is undoubtedly significant. The impact of fluids heated by the Sun is influenced by the rotation of the earth’s surface and this necessitates the study of fluid flow over such surface as the Earth. For this reason, the significance of Coriolis force on MHD free-convection flow of Newtonian fluid over the rotating upper horizontal surface of paraboloid of revolution is explored. The relevant body forces are derived and included in the Navier-Stokes equations to obtain appropriate equations governing the flow. By nondimensionalizing the governing equations using similarity variables, the system of nonlinear partial differential equations is reduced to a system of nonlinear ordinary differential equations which is solved using Runge-Kutta-Gills method along with Shooting technique and the results are depicted graphically. It is observed that simultaneous increase in both Coriolis force and Lorentz force causes an increase in the temperature profile of the flow. It is also observed that the effect of increasing Coriolis force on the Skin Friction and heat transfer rate is counter-balanced by increasing Lorentz force.

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“…These flows generally feature a homogenous liquid (velocity phase) carrying small dust particles (solid phase) and are also an example of a two-phase system. They arise in aerodynamics, 1 chemical engineering fluidized beds, 2 spinning bioreactors, 3 liquid metal processing, 4 nozzle systems in propulsion, 5 cosmical hydrodynamics, 6 and solid oxide fuel cells (SOFCs). 7 Early work on modeling dusty fluids for the Newtonian case was reported by Saffman 8 who proposed a dusty fluid framework taking into consideration the impact of suspended particles on laminar flow stability.…”

Section: Introductionmentioning

confidence: 99%

Computation of unsteady generalized Couette flow and heat transfer in immiscible dusty and non‐dusty fluids with viscous heating and wall suction effects using a modified cubic B‐spine differential quadrature method

et al. 2021

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In this paper, the unsteady flow of two immiscible fluids with heat transfer is studied numerically with a modified cubic B-spine Differential Quadrature Method. Generalized Couette flow of two immiscible dusty (fluid-particle suspension) and pure (Newtonian) fluids are considered through rigid horizontal channels for three separate scenarios: first for nonporous plates with heat transfer, second for porous plates with uniform suction and injection and heat transfer, and third for nonporous plates with interface evolution. The stable

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Effect of coriolis force on vorticity covariance in MHD turbulent flow of dusty fluid

Cited by 3 publications

References 4 publications

Exploration of Coriolis force on motion of air over the upper horizontal surface of a paraboloid of revolution

Exploration of Coriolis force on motion of air over the upper horizontal surface of a paraboloid of revolution

Coriolis effects on MHD newtonian flow over a rotating non-uniform surface

Computation of unsteady generalized Couette flow and heat transfer in immiscible dusty and non‐dusty fluids with viscous heating and wall suction effects using a modified cubic B‐spine differential quadrature method

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