Scholarly Publications
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This community showcases the academic contributions of faculty and researchers at Banaras Hindu University (BHU) and provides a year-wise compilation of publications across disciplines. Institutional Repository BHU
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PublicationArticle Influence of heat source/sink on MHD flow between vertical alternate conducting walls with Hall effect(Elsevier B.V., 2020) Dileep Kumar; A.K. Singh; Devendra KumarThe key object of this article is to present the impact of heat source/sink and Hall current on the completely advanced natural convection flow of a viscous incompressible and electrically conducting fluid through a vertical channel with the condition that one wall is conducting and other is non-conducting. The resulting system of non-dimensional linear equations has been examined with the help of theory of simultaneous differential equations. Finally, we have found the expressions for the fluid velocity, induced magnetic field and temperature field in the compact form. Also, we have derived the induced current density from induced magnetic field and with the help of velocity we found skin friction and rates of mass flow. The obtained results are presented through graphs for distinct values of the Hartmann number, Hall current and heat source/sink parameters. It is noted that the impact of the Hartmann number is to reduce the parts of the velocity and induced current density but improve the constituents of induced magnetic field. Further, the increase of the Hall current parameter leads to enhancement and reduces the primary and secondary constituents of the velocity and induced magnetic field respectively. The Hall current gives rise to a cross flow and the variable fluid properties have strong effects on the shear stress and the Nusselt number. Hall current is applicable in Hall accelerators, Hall effect sensors and constrictions of turbines, etc. © 2019PublicationConference Paper Effect of Newtonian Cooling/Heating on MHD Free Convective Flow Between Vertical Walls with Induced Magnetic Field(Springer Heidelberg, 2018) Sarveshanand; A.K. SinghAn analysis is performed for the steady MHD free convective flow between two vertical walls assuming that the fluid is viscous, incompressible, and electrically conducting. The impacts of the Newtonian cooling/heating and induced magnetic field have been considered in the mathematical formulation of the problem. The nondimensionalized simultaneous differential equations, governing the problem, have been solved analytically for the temperature, the velocity, and the induced magnetic field. The manifestations have been made for the induced current density, the skin-friction, and the mass flux. The impact of the Hartmann number, the Biot number, and the magnetic Prandtl number on the velocity, the induced magnetic field, and the induced current density diagrams have been presented by considering a temperature-dependent source/sink. It is inspected that the velocity, the induced magnetic field, and the induced current density diagrams have decreasing tendency with rise in the value of the Hartmann number. Further, it is also noticed that with enhancement in the magnetic Prandtl number the velocity diagram decreases, but the induced magnetic field and the induced current density diagrams have increasing nature. It is beheld that the impression of Newtonian cooling/heating is to reduce/raise the velocity as well as the induced magnetic field and the induced current density. The impacts of the governing parameters on the skin-friction and mass flux have also been concluded dealing with their numerical values given in the tables. © Springer Nature Singapore Pte Ltd 2018.PublicationConference Paper Effect of Newtonian Heating/Cooling on Hydromagnetic Free Convection in Alternate Conducting Vertical Concentric Annuli(Springer Heidelberg, 2018) Dileep Kumar; A.K. SinghThis paper presents the effects of the Newtonian heating/cooling and the radial magnetic field on steady hydromagnetic free convective flow of a viscous and electrically conducting fluid between vertical concentric cylinders by neglecting compressibility effect. The derived governing equations of the model are first recast into the non-dimensional simultaneous ordinary differential equations using the suitable non-dimensional variables and parameters. By obtaining the exact solution of the simultaneous ordinary differential equations, the effects of the Hartmann number as well as the Biot number on the velocity, induced magnetic field, induced current density, Nusselt number, skin-friction and mass flux of the fluid are presented by the graphs and tables. The effect of the Biot number is to increase the velocity, induced magnetic field and induced current density in the case of the Newtonian heating and vice versa in the case of the Newtonian cooling, but the effect of Hartmann number is to decrease all above fields. Further, graphical representation shows that the velocity and induced magnetic field are rapidly decreasing, with increasing the Hartmann number, when one of the cylinders is conducting compared with when both the cylinders are non-conducting. © Springer Nature Singapore Pte Ltd 2018.PublicationArticle Effects of heat source/sink and induced magnetic field on natural convective flow in vertical concentric annuli(Elsevier B.V., 2016) Dileep Kumar; A.K. SinghIn the present analysis, we have investigated the effects of induced magnetic field and heat source/sink on fully developed laminar natural convective flow of a viscous incompressible and electrically conducting fluid in the presence of radial magnetic field by considering induced magnetic field into account. The governing equations of the considered model are transformed into simultaneously ordinary differential equations and solved analytically. We have analyzed the effect of Hartmann number, heat source/sink parameter and ratio of outer radius to inner radius on the fluid velocity, induced magnetic field, induced current density and temperature field by the graphs while the values of skin-friction, Nusselt number, mass flux and induced current flux are given in the tabular form. We observed that the values of the velocity, induced magnetic field and induced current density have decreasing tendency with increasing the values of the Hartmann number. The results show that an increasing value of the heat source/sink parameter leads to increase the velocity, induced magnetic field, induced current density and temperature in case of heat source and viceversa in case of heat sink. © 2016 Faculty of Engineering, Alexandria UniversityPublicationArticle Magnetohydrodynamic free convection between vertical parallel porous plates in the presence of induced magnetic field(SpringerOpen, 2015) Sarveshanand; A.K. SinghIn this paper, the steady two-dimensional hydromagnetic free convective flow of an incompressible viscous and electrically conducting fluid between two parallel vertical porous plates has been considered. The effect of induced magnetic field arising due to the motion of an electrically conducting fluid is taken into account. The governing equations of the motion are a set of simultaneous ordinary differential equations and their analytical solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expression for the induced current density has been also obtained. The effects of various non-dimensional parameters on the velocity profile, the induced magnetic field profile, the temperature profile and the induced current density profile have been shown in the graphs. It is found that the effect of suction parameter is to decrease the velocity field and induced current density while it has increasing effect on the induced magnetic field. © 2015, Sarveshanand and Singh.PublicationArticle Effect of induced magnetic field on natural convection in vertical concentric annuli heated/cooled asymmetrically(Isfahan University of Technology, 2013) A. Kumar; A.K. SinghIn the present paper, the fully developed laminar free convective flow of a viscous incompressible and electrically conducting fluid between two concentric vertical cylinders is considered in the presence of a radial magnetic field. The induced magnetic field produced by the motion of an electrically conducting fluid is taken into account. The expressions for the temperature, velocity, induced magnetic field, induced current density, skin-friction and Nusselt number are obtained in a closed form under more general boundary conditions for the induced magnetic field. The influence of the Hartmann number and buoyancy force distribution parameter on the fluid velocity, induced magnetic field and induced current density have been analyzed by using the graphs while the values of the skin-friction, Nusselt number, induced current flux and mass flux are given in the tabular form. It is observed that the fluid velocity and induced magnetic field are rapidly decreasing with increase in the value of Hartmann number in the case when one of the cylinders is conducting compared with the case when both cylinders are non-conducting. The effect of the induced magnetic field is to increase the velocity profiles in comparison to the case of neglecting the induced magnetic field. The buoyancy force distribution parameter has tendency to increase the fluid velocity, induced magnetic field, temperature field and induced current flux.PublicationArticle Unsteady MHD free convective flow past a semi-infinite vertical wall with induced magnetic field(2013) Anand Kumar; A.K. SinghIn this paper, the effect of an induced magnetic field on unsteady hydromagnetic free convective flow of an electrically conducting fluid past a semi-infinite vertical plate is considered. The coupled non-linear partial differential equations in non-dimensional form have been solved by implicit finite difference method of Crank-Nicolson type. The influence of magnetic parameter and magnetic Prandtl number on the velocity, temperature and induced magnetic field at a fixed cross-section, as well as on the skin-friction and Nusselt number on the heated surface, have been shown graphically. It is found that the effect of magnetic parameter is to decrease the velocity, temperature and induced magnetic fields while the effect of magnetic Prandtl number is to increase them. © 2013 Elsevier Inc. All rights reserved.PublicationArticle Effect of induced magnetic field on natural convection in vertical concentric annuli(2012) R.K. Singh; A.K. SinghIn the present paper, we have considered the steady fully developed laminar natural convective flow in open ended vertical concentric annuli in the presence of a radial magnetic field. The induced magnetic field produced by the motion of an electrically conducting fluid is taken into account. The transport equations concerned with the considered model are first recast in the non-dimensional form and then unified analytical solutions for the velocity, induced magnetic field and temperature field are obtained for the cases of isothermal and constant heat flux on the inner cylinder of concentric annuli. The effects of the various physical parameters appearing into the model are demonstrated through graphs and tables. It is found that the magnitude of maximum value of the fluid velocity as well as induced magnetic field is greater in the case of isothermal condition compared with the constant heat flux case when the gap between the cylinders is less or equal to 1.70 times the radius of inner cylinder, while reverse trend occurs when the gap between the cylinders is greater than 1.71 times the radius of inner cylinder. These fields are almost the same when the gap between the cylinders is equal to 1.71 times the radius of inner cylinder for both the cases. It is also found that as the Hartmann number increases, there is a flattening tendency for both the velocity and the induced magnetic field. The influence of the induced magnetic field is to increase the velocity profiles. © The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag Berlin Heidelberg 2012.