Magnetohydrodynamic transient flow in a circular cylinder

The analysis of hydromagnetic flow has been a concern of consideration for research scientists and engineers. In this treatise, the unsteady hydromagnetic free convective flow of an incompressible, viscous, and electrically conducting fluid and heat transfer in a vertical cylinder with Hall effects and transverse magnetic field, in the presence of heat source and sink, is studied. Exact solutions of dimensionless unsteady governing equations are obtained by using the Laplace transform technique. Transient fluid velocity and temperature field are depicted by graphs, whereas heat transfer rate, mass flux, and skinfriction are computed in a tabular form for different physical parametric values, such as the source/sink parameter, Hall current parameter, Prandtl number, and Hartmann number. The valuable result from the investigation is that the Hall parameter slightly accelerates the fluid velocity and it provides resistance to the skin friction at the cylindrical surface. Moreover, it is noticeable that temperature as well as velocity enhances and finally gets to its steady state with time. To be noted, the Hall effects have been widely applied in numerous experimental engineering applications, such as constrictions of turbines, Hall accelerators, Hall sensors.

Section: Introductionmentioning

confidence: 99%

Transient free convective hydromagnetic flow in an infinite vertical cylinder with Hall current and heat source/sink

Dwivedi

Singh

2020

“…Numerical investigations on the transient convective flow over vertical cylinders in the presence of an applied magnetic field were discussed by Ganesan and Loganathan, 10 Reddy and Reddy, 11 Reddy, 12 Ahmed et al, 13 Elgazery and Hassan, 14 and Mahato et al 15 Using the Laplace transform technique, Deka and Paul 16,17 presented an analytical approach to the unsteady MHD free convective flow over stationary vertical cylinders. Maurya et al 18 discussed unsteady flow over a horizontal cylinder in the presence of a normal magnetic field. Singh et al 19 Natural convective flows over vertical cylinders immersed in a porous medium have attracted the attention of numerous researchers because of their broad engineering and geophysical applications, such as groundwater pollution, nuclear waste system, groundwater pollution, grain stock, packed-bed reactors, and so forth.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic unsteady natural convective flow in a porous medium over a moving infinite cylinder

Paul

2022

The effect of the magnetic field on the unsteady natural convective one-dimensional laminar flow of an incompressible viscous and slightly electrically conducting fluid over a vertical cylinder is investigated analytically. The cylinder is assumed to be embedded in a porous medium, and it moves with a uniform velocity along the vertically upward direction. The boundary layer flow equations are converted to a nondimensional form using appropriate non-dimensional parameters, and the closed-form solutions are obtained using the Laplace transform method. Fluid velocity depends on radial distance, time, magnetic parameter, Grashof number, permeability parameter, and Prandtl number. Graphical and tabulated results of the fluid velocity profile and shear stress based on the analytical solutions are presented and discussed. The analytical solution reveals that the unsteady fluid velocity tends to a steady state at a large time. The present study demonstrates that increased porosity leads to enhancement in the fluid velocity, whereas the transverse magnetic field resists the fluid velocity. Furthermore, the absolute value of shear stress decreases with a decrease in porosity of the medium or an increase in magnetic field effect.

“…In such a situation, all the obtained expressions are especially dependent on time factors. Recently, two investigations have been reported by Maurya et al 30,31 based on the transient flow problem of one-directional electrically conducting fluid flow passing within a circular cylinder as well as annular duct both, in the presence of the normal magnetic field. Most recently, Dwivedi and Singh 32,33 presented on steady hydromagnetic flow between straight up cylinders in annular zone in the presence of heat source/sink with Hall current and its another work based on transient magnetohydrodynamic (MHD) flow in an infinite straight up cylinder.…”

Section: Introductionmentioning

confidence: 99%

Significance of time‐dependent magnetohydrodynamic transient free convective flow in vertical annuli: An analytical approach with the finite Hankel transform

Maurya

Singh

2021

Self Cite

An analytical study is accomplished by using the Finite Hankel Transform Technique for the variation of the temperature and the velocity profile with several nondimensional parameters. In this problem, an electrically conducting fluid has been considered in the vertical concentric annulus, with a perpendicular radial magnetic field. Furthermore, a closed and exact type of expression for the velocity and the temperature are received in the form of Bessel functions of both kinds (first and second). The impact of emerging parameters in this model, such as time, Hartmann number, Prandtl number, and the annular gap between the cylinders, is discussed through graphs, whereas the numerical values of the skin friction, mass flux, and the Nusselt number are given in the tabular form. As a consequence of this, it is detected that the velocity and temperature distributions are increasing continuously with an enhanced time scale. Eventually, it gains its steady state very quickly. Moreover, the impact of the Prandtl number and the Hartmann number leads to a decrease in the velocity profiles.