Department of Mathematics

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Author: search.filters.author.Sharma, Bhupendra KumarEnd date: 2019

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Now showing 1 - 10 of 46
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    Thermal and mass diffusion on hydromagnetic flow from a vertical surface with induced magnetic field
    (Interdisciplinary Centre for Mathematical and Computational Modelling, 2017) Sharma, Bhupendra Kumar
    The viscous incompressible electrically conducting fluid past an infinite porous vertical plate under the combined buoyancy effects of thermal and mass diffusion has been studied under the action of transverse applied magnetic field taking into account the induced magnetic field, when the plate is subjected to constant heat and mass fluxes (CHFlCMF). The analytical solutions are found for velocity field, temperature distribution, induced magnetic field, current density, concentration field and the expressions for shear stress and rate of heat transfer are obtained and discussed in detail with the help of figures.
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    Analytical investigation of the hydromagnetic flow in a porous medium due to periodically heated oscillating plate
    (International Journal of Applied Mechanics and Engineering, 2000) Sharma, Bhupendra Kumar
    The Stokes second problem in the presence of a magnetic field in a porous medium is considered. The flow is due to an oscillating plate at the bottom of the porous medium of finite thickness and fully saturated with the viscous incompressible liquid. The plate is kept at oscillating temperature and a transverse uniform magnetic field is applied normal to the plate. It is assumed that the flow in the porous medium is governed by the Brinkman equations. The flows at the interface (porous medium-clear fluid boundary) are matched by the conditions suggested by Ochao-Tapia and Whittaker. Approximate solutions for velocity, temperature field, skin-friction and rate of heat transfer are calculated and effects of various parameters upon them are examined.
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    Comment on "Steady mixed convection stagnationpoint flow of upper convected Maxwell fluids with magnetic field" [International Journal of non-linear mechanics, 44(2009):1048-1055]
    (Academic Journal, 2013) Sharma, Bhupendra Kumar
    In the present comment, we point out a major flow found in the paper "Steady mixed convection stagnation-point flow of upper convected Maxwell fluids with magnetic field" [International Journal of non-linear mechanics, 44(2009):1048-1055].
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    Three-Dimensional Unsteady Mixed Convection and Mass Transfer Flow with Periodic Temperature
    (Dirasat, 2008) Sharma, Bhupendra Kumar
    This research investigates the effect of periodic heat flux and mass flux on unsteady convection flow bounded by an infinite vertical flat porous plate. The porous infinite surface is subjected to a slightly sinusoidal transverse suction velocity distribution. The problem becomes three dimensional, due to the periodic suction velocity variation in space. Assuming the free stream velocity to be uniform, the approximate solutions for velocity, temperature, concentration, skin friction and rate of heat transfer are obtained using multi-parameter perturbation technique. The dependence of solution on Pr(Prandtl number), Gr(Grashof number), Gc(modified Grashof number), Sc(Schmidt number), ω(frequency parameter) and Re(Reynold number) is investigated with the help of graphs and tables.
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    The effect of suction on magnetohydrodynamic forced flow of a viscous electrically conducting fluid through a porous medium induced by a rotating disk
    (Interdisciplinary Centre for Mathematical and Computational Modelling, 2012) Sharma, Bhupendra Kumar
    The present paper investigates the steady MHD forced flow of an incompressible viscous electrically conducting fluid, due to an infinite rotating disk bounded by a porous medium. A uniform suction is applied on the upper disk. It is assumed that the flow between the disk and the porous medium is governed by Navier-Stokes equations and that in the porous medium by Brinkman equations. Flows in the two regions are matched at the interface by assuming that the velocity and stress components are continuous at it. At the interface (porous medium-clear fluid boundary), a modified set of boundary conditions suggested by Ochao-Tapia and Whittaker is applied. Assuming constant suction at the disk surface, analytical expressions for the velocity and shearing stress are calculated and effects of various parameters upon them are examined.
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    Fluctuating hydromagnetic natural convection flow past a magnetized vertical surface in the presence of thermal radiation
    (Thermal Science, 2012) Sharma, Bhupendra Kumar
    The effect of radiation on fluctuating hydro-magnetic natural convection flow of viscous, incompressible, electrically conducting fluid past a magnetized vertical plate is studied; when the magnetic field and surface temperature oscillates in magnitude about a constant non zero mean. The numerical solutions have been obtained for different values of radiation parameter (Rd) magnetic Prandtl number (Pm) magnetic force parameter (S) Prandtl number (Pr) and surface temperature ( w θ ) in terms of amplitude and phase angle of coefficients of skin friction, rate of heat transfer and current density at the surface of the plate. Moreover, the effects of these parameters on transient coefficients of skin friction, rate of heat transfer and current density have been discussed. The finite difference method for primitive variable transformation and asymptotic series solution for stream function formulation has been used to obtain the numerical solution of the boundary layer flow field
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    Comment on "Induced magnetic field with radiating fluid over a porous vertical plate: Analytical study" by Sahin Ahmed [Journal of Naval Architecture and Marine Engineering
    (Bangladesh Academy of Scienceshttps://www.banglajol.info/index.php/JNAME/article/view/10579, 2010) Sharma, Bhupendra Kumar
    In the present comment, we point out some errors found in the above referenced paper.
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    Effect of chemical reaction on Jeffrey fluid model of blood flow through tapered artery with thermo-diffusion and diffuso-thermal gradients
    (ASTFE, 2018) Sharma, Bhupendra Kumar
    In this article, we have studied a non-Newtonian fluid model for blood flow through a tapered artery with a stenosis by assuming blood as Jeffrey fluid. The fluid is assumed to be non Newtonian, namely Jeffrey fluid and diffusion-thermo, thermal diffusion effect are also taken into account. The governing coupled partial differential equations of the problem is reduced to ordinary differential equations and then solved by numerically using finite difference schemes. The velocity, temperature and concentration fields are discussed with different values of involved parameter like Prandtl number, Schmidt number, chemical Reaction Parameter, Soret, Dufour parameters on velocity, temperature and concentration distribution are analysed with the help of graphs. Such a study constitutes an important addition to numerical multi-physical fluid dynamics simulations and has not appeared thus far in the literature.
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    Nanofluid flow and heat transfer from heated square cylinder in the presence of upstream rectangular cylinder under Couette-Poiseuille flow
    (Techno Press, 2019-07) Sharma, Bhupendra Kumar
    A heated square cylinder (with height A*) is kept parallel to the cold wall at a fixed gap height 0.5A* from the wall. Another adiabatic rectangular cylinder (of same height A* and width 0.5A*) is placed upstream in an inline tandem arrangement. The spacing between the two cylinders is fixed at 3.0A*. The inlet flow is taken as Couette-Poiseuille flow based non-linear velocity profile. The conventional fluid (also known as base fluid) is chosen as water (W) whereas the nanoparticle material is selected as Al2O3. Numerical simulations are performed by using SIMPLE algorithm based Finite Volume approach with staggered grid arrangement. The dependencies of hydrodynamic and heat transfer characteristics of the cylinder on non-dimensional parameters governing the nanofluids and the fluid flow are explored here. A critical discussion is made on the mechanism of improvement/reduction (due to the presence of the upstream cylinder) of heat transfer and drag coefficient, in comparison to those of an isolated cylinder. It is observed that the heat transfer increases with the increase in the non-linearity in the incident velocity profile at the inlet. For the present range studied, particle concentration has a negligible effect on heat transfer.