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Papers by Bhupendra Sharma
This research investigates the effect of periodic heat flux and mass flux on unsteady convection ... more 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), w (frequency parameter) and Re(Reynold number) is investigated with the help of graphs and tables.
arXiv: Fluid Dynamics, 2017
In blood, the concentration of red blood cells varies with the arterial diameter. In the case of ... more In blood, the concentration of red blood cells varies with the arterial diameter. In the case of narrow arteries, red blood cells concentrate around the center of the artery and there exists a cell-free plasma layer near the arterial wall due to Fahraeus-Lindqvist effect. Due to non-uniformity of the fluid in the narrow arteries, it is preferable to consider the two-phase model of the blood flow. The present article analyzes the heat and mass transfer effects on the two-phase model of the unsteady pulsatile blood flow when it flows through the stenosed artery under the effects of radiation and chemical reaction. The direction of the artery is assumed to be vertical and the magnetic field is applied along the radial direction of the artery. We assume that the value of the shear stress is high enough so that nature of blood can be modeled as Newtonian in both erythrocytes suspended core region as well as RBC-depleted plasma region. We derive a mathematical model for the mixed convecti...
The European Physical Journal Plus
International Journal of Computational Methods
In this paper, simultaneous effects of viscous dissipation and Joule heating on unsteady two-phas... more In this paper, simultaneous effects of viscous dissipation and Joule heating on unsteady two-phase blood flow through a stenosed artery in the presence of variable applied magnetic field have been investigated. The present two-layered model of blood flow consists of a central core of suspended erythrocytes and a cell-depleted plasma layer surrounding the core. It is assumed that the viscosity of the cell-free plasma layer is constant while the viscosity of the core is a function of the hematocrit level. A consistent system of nonlinear partial differential equations is solved numerically using shooting methods to estimate the flow rate, flow resistance and wall shear stress. The quantitative profile analysis of velocity, temperature and concentration as well as the Nusselt number and Sherwood number is carried out over the entire arterial segment. To validate the model, a comparative study has been done between the present results and the experimental results for the cell velocity d...
Journal of Mechanical Science and Technology
Journal of Engineering Physics and Thermophysics
The Stokes second problem in the presence of a magnetic field in a porous medium is considered. T... more 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.
![Research paper thumbnail of Comment on Combined heat and mass transfer by mixed convection magnetohydrodynamic (MHD) flow along a porous plate with chemical reaction in presence of heat source by Zueco, J. and Ahmed, S., 2010, [Appl. Math. Mech. -Engl. Ed. 31(10), pp. 1217-1230]](https://attachments.academia-assets.com/71675415/thumbnails/1.jpg)
](International Journal of Physical Sciences, Sep 26, 2014
In this paper, we demonstrate that the previously reported effect of the transverse magnetic fiel... more In this paper, we demonstrate that the previously reported effect of the transverse magnetic field on a steady mixed convective heat and mass transfer flow of an incompressible viscous fluid past an infinite vertical isothermal porous plate considering the induced magnetic field with viscous and magnetic dissipations of energy by Zueco and Ahmed (2010) [Appl. Math. Mech.-Engl. Ed. 31(10), pp. 1217-1230] has some major flaws. We show that the results included in the paper by Zueco and Ahmed (2010) are incorrect both from a theoretical and practical point of view.
The flow of viscous incompressible fluid between two parallel periodically heated oscillating pla... more The flow of viscous incompressible fluid between two parallel periodically heated oscillating plates has been studied. The space between the plates has been divided into two regions (i) clear fluid region, and (ii) porous medium region. It is assumed that in region (i) the flow is governed by Navier-Stokes equations while in the region (ii) by Brinkman equations. At the interface the velocity, temperature and skin-friction are assumed to be continuous. Approximate solutions for velocity and temperature fields are calculated, and effects of various parameters upon velocity fields, skin-frictions and rate ol heat transfer have been examined.
The study of free convective two-dimensional unsteady flow with radiation through a porous medium... more The study of free convective two-dimensional unsteady flow with radiation through a porous medium of variable permeability and transverse magnetic field in presence of a heatsource/sink, bounded by an infinite vertical porous plate with uniform suction, has been made. The permeability of a porous medium fluctuates with time about a constant mean. Approximate solutions for velocity temperature and skin friction are obtained and the effects of heat source/sink, radiation, variable permeability, Prandtl number and magnetic field parameter on velocity, temperature and skin friction are shown and discussed with the help of graphs and a table.
Journal of Engineering Physics and Thermophysics
The present work is concerned with unsteady mixed convection and mass transfer flow with Hall eff... more The present work is concerned with unsteady mixed convection and mass transfer flow with Hall effect of an electrically conducting incompressible viscous fluid through a porous medium bounded by an infinite vertical plate subjected to suction/injection velocity in the presence of a constant magnetic field. The magnetic field is applied transversely to the direction of the flow. The resulting problem has been solved analytically and the solutions are found for velocity, temperature, concentration of the species, skin-friction, surface heat flux and mass flux. The effects of material parameters on the flow characteristics are expressed and ilustrated/discussed by graphs and table.
This research investigates the effect of periodic heat flux and mass flux on unsteady convection ... more 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.
The present work is concerned with steady laminar free convection flow with radiation of an elect... more The present work is concerned with steady laminar free convection flow with radiation of an electrically conducting fluid along a porous uniformly moving hot vertical plate in the presence of heat source/sink. The magnetic field is applied transversely to the direction of the flow. The resulting problem has been solved analytically and the solutions are found/discussed for the velocity, temperature field, skin-friction and rate of heat transfer with the help of graphs and tables.
The forced flow of an electrically conducting viscous incompressible fluid, due to an infinite im... more The forced flow of an electrically conducting viscous incompressible fluid, due to an infinite impervious rotating disk bounded by porous medium has been investigated. A uniform magnetic field is applied in the direction normal to the flow. 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. Analytical expressions for the velocity and shearing stress are calculated and effects of various parameters upon them are examined.
This research investigates the effect of periodic heat flux and mass flux on unsteady convection ... more 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), w (frequency parameter) and Re(Reynold number) is investigated with the help of graphs and tables.
arXiv: Fluid Dynamics, 2017
In blood, the concentration of red blood cells varies with the arterial diameter. In the case of ... more In blood, the concentration of red blood cells varies with the arterial diameter. In the case of narrow arteries, red blood cells concentrate around the center of the artery and there exists a cell-free plasma layer near the arterial wall due to Fahraeus-Lindqvist effect. Due to non-uniformity of the fluid in the narrow arteries, it is preferable to consider the two-phase model of the blood flow. The present article analyzes the heat and mass transfer effects on the two-phase model of the unsteady pulsatile blood flow when it flows through the stenosed artery under the effects of radiation and chemical reaction. The direction of the artery is assumed to be vertical and the magnetic field is applied along the radial direction of the artery. We assume that the value of the shear stress is high enough so that nature of blood can be modeled as Newtonian in both erythrocytes suspended core region as well as RBC-depleted plasma region. We derive a mathematical model for the mixed convecti...
The European Physical Journal Plus
International Journal of Computational Methods
In this paper, simultaneous effects of viscous dissipation and Joule heating on unsteady two-phas... more In this paper, simultaneous effects of viscous dissipation and Joule heating on unsteady two-phase blood flow through a stenosed artery in the presence of variable applied magnetic field have been investigated. The present two-layered model of blood flow consists of a central core of suspended erythrocytes and a cell-depleted plasma layer surrounding the core. It is assumed that the viscosity of the cell-free plasma layer is constant while the viscosity of the core is a function of the hematocrit level. A consistent system of nonlinear partial differential equations is solved numerically using shooting methods to estimate the flow rate, flow resistance and wall shear stress. The quantitative profile analysis of velocity, temperature and concentration as well as the Nusselt number and Sherwood number is carried out over the entire arterial segment. To validate the model, a comparative study has been done between the present results and the experimental results for the cell velocity d...
Journal of Mechanical Science and Technology
Journal of Engineering Physics and Thermophysics
The Stokes second problem in the presence of a magnetic field in a porous medium is considered. T... more 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.
International Journal of Physical Sciences, Sep 26, 2014
In this paper, we demonstrate that the previously reported effect of the transverse magnetic fiel... more In this paper, we demonstrate that the previously reported effect of the transverse magnetic field on a steady mixed convective heat and mass transfer flow of an incompressible viscous fluid past an infinite vertical isothermal porous plate considering the induced magnetic field with viscous and magnetic dissipations of energy by Zueco and Ahmed (2010) [Appl. Math. Mech.-Engl. Ed. 31(10), pp. 1217-1230] has some major flaws. We show that the results included in the paper by Zueco and Ahmed (2010) are incorrect both from a theoretical and practical point of view.
The flow of viscous incompressible fluid between two parallel periodically heated oscillating pla... more The flow of viscous incompressible fluid between two parallel periodically heated oscillating plates has been studied. The space between the plates has been divided into two regions (i) clear fluid region, and (ii) porous medium region. It is assumed that in region (i) the flow is governed by Navier-Stokes equations while in the region (ii) by Brinkman equations. At the interface the velocity, temperature and skin-friction are assumed to be continuous. Approximate solutions for velocity and temperature fields are calculated, and effects of various parameters upon velocity fields, skin-frictions and rate ol heat transfer have been examined.
The study of free convective two-dimensional unsteady flow with radiation through a porous medium... more The study of free convective two-dimensional unsteady flow with radiation through a porous medium of variable permeability and transverse magnetic field in presence of a heatsource/sink, bounded by an infinite vertical porous plate with uniform suction, has been made. The permeability of a porous medium fluctuates with time about a constant mean. Approximate solutions for velocity temperature and skin friction are obtained and the effects of heat source/sink, radiation, variable permeability, Prandtl number and magnetic field parameter on velocity, temperature and skin friction are shown and discussed with the help of graphs and a table.
Journal of Engineering Physics and Thermophysics
The present work is concerned with unsteady mixed convection and mass transfer flow with Hall eff... more The present work is concerned with unsteady mixed convection and mass transfer flow with Hall effect of an electrically conducting incompressible viscous fluid through a porous medium bounded by an infinite vertical plate subjected to suction/injection velocity in the presence of a constant magnetic field. The magnetic field is applied transversely to the direction of the flow. The resulting problem has been solved analytically and the solutions are found for velocity, temperature, concentration of the species, skin-friction, surface heat flux and mass flux. The effects of material parameters on the flow characteristics are expressed and ilustrated/discussed by graphs and table.
This research investigates the effect of periodic heat flux and mass flux on unsteady convection ... more 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.
The present work is concerned with steady laminar free convection flow with radiation of an elect... more The present work is concerned with steady laminar free convection flow with radiation of an electrically conducting fluid along a porous uniformly moving hot vertical plate in the presence of heat source/sink. The magnetic field is applied transversely to the direction of the flow. The resulting problem has been solved analytically and the solutions are found/discussed for the velocity, temperature field, skin-friction and rate of heat transfer with the help of graphs and tables.
The forced flow of an electrically conducting viscous incompressible fluid, due to an infinite im... more The forced flow of an electrically conducting viscous incompressible fluid, due to an infinite impervious rotating disk bounded by porous medium has been investigated. A uniform magnetic field is applied in the direction normal to the flow. 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. Analytical expressions for the velocity and shearing stress are calculated and effects of various parameters upon them are examined.