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Author: search.filters.author.Sharma, Bhupendra KumarSubject: search.filters.subject.Chemical Reaction

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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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    Role of Slip Velocity in a Magneto-Micropolar Fluid Flow from a Radiative Surface with Variable Permeability: A Numerical Study
    (De Gruyter, 2017-09) Sharma, Bhupendra Kumar
    An analysis is presented to describe the hydromagnetic mixed convection flow of an elec trically conductingmicropolar fluid past a vertical plate through a porous medium with radiation and slip flow regime. A uniformmagnetic field has been considered in the study which absorbs the micropolar fluid with a varying suctionvelocity and acts perpendicular to th e porous surface of the above plate.The governing non-linear partialdifferential equations have been transformed into linear partial differential equations, which are solvednumerically by applying the explicit finite difference method. The numerical results are presented graphically inthe form of velocity, micro-rotation, concentration and temperature profiles, the skin-friction coefficient, thecouple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters
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    Entropy generation minimization of higher-order endothermic/exothermic chemical reaction with activation energy on MHD mixed convective flow over a stretching surface
    (Nature, 2022-10) Sharma, Bhupendra Kumar
    The present investigation aims to analyze higher-order endothermic/exothermic chemical reactions with activation energy by considering thermophoresis and Brownian motion effects on MHD mixed convective flow across a vertical stretching surface. The influence of velocity slip, thermal slip, and concentration slip along with an inclined external magnetic field is also considered. The governing coupled non-linear partial differential equations are transformed into ordinary differential equations using similarity transformation. The resulting system of non-linear ODEs is solved by the Newton Raphson shooting technique using the RK-4 algorithm. The impact of various physical parameters discovered in the problem viz. endothermic/exothermic reaction variable, thermophoresis parameter, activation energy parameter, Brownian motion parameter, chemical reaction parameter have been analyzed on velocity profile, temperature profile, and concentration profile. The effects of these parameters on skin-friction coefficient, Nusselt number, and Sherwood number are displayed in tabular form as well as surface plots. The impact of various physical parameters that appeared in the entropy generation is shown using surface and contour plots. The numerical findings are in good agreement with the previously published results. It is observed that an increment in thermophoresis and Brownian motion parameters results in a declination of entropy profiles, whereas an increment in Bejan number profiles is observed. A small region near the surface exhibits an inclination in concentration profiles with an increase in the order of the chemical reaction. In contrast, the opposite effect is analyzed near the boundary layer. Also, the contour and surface plots are displayed to portray real-world applications in industrial and technical processes and the physical depiction of flow characteristics that arise in the current study.
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    Radiation Effect on MHD Blood Flow Through a Tapered Porous Stenosed Artery with Thermal and Mass Diffusion
    (Sciendo, 2019-06) Sharma, Bhupendra Kumar
    A mathematical model for MHD blood fl ow through a stenosed artery with Soret and Dufour effects in thepresence of thermal radiation has been studied. A uniform magne tic field is applied perpendicular to the poroussurface. The governing non-linear part ial differential equations have been transformed into linear partialdifferential equations, which are solved numerically by applying the explicit finite difference method. Thenumerical results are presented graphically in the form of velocity, temperature and concentration profiles. Theeffects of various parameters such as the Reynolds number, Hartmann num ber, radiation parameter, Schmidtnumber and Prandtl number, Soret and Dufour parameter on the velocity, temperature and concentration havebeen examined with the help of graphs. The present results have an important bearing on the therapeuticprocedure of hyperthermia, particularly in understanding/regulating blood flow and heat transfer in capillaries.
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    Two-phase analysis of blood flow through a stenosed artery with the effects of chemical reaction and radiation
    (Springer, 2021-03) Sharma, Bhupendra Kumar
    The paper presents a study related to the two-phase analysis of pulsatile blood flow through a narrowed stenosed artery with radiation and the chemical effects. In the model, a vertical artery is considered in which the flow of blood is assumed vertical upward and the direction of an external applied magnetic is in the radial direction of the flow. To understand the behavior of blood flow, graphs of the velocity profile, wall shear stress, flow rate, flow impedance and concentration profile are portrayed with different values of the magnetic and radiation parameters. In order to validate the results, a comparative study is presented between the single-phase and two-phase model of the blood flow, which shows that the two-phase model fits more accurately with the experimental data than the single-phase model, as mean errors are 0.3% for the two-phase model while it is 1% for single-phase model. For pulsatile flow, the phase difference between the pressure gradient and the flow rate is displayed with the effects of the magnetic field and different heights of the stenosis.
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    Effects of Chemical Reaction on Magneto-Micropolar Fluid Flow from a Radiative Surface with Variable Permeability
    (International Journal of Applied Mechanics and Engineering, 2013-09) Singh, Ajit Pratap; Sharma, Bhupendra Kumar
    This paper presents a study of a hydromagnetic free convection flow of an electrically conducting micropolarfluid past a vertical plate through a porous medium with a heat source, taking into account the homogeneouschemical reaction of first order. A uniform magnetic field has also been considered in the study which actsperpendicular to the porous surface of the above plate. The analysis has been done by assuming varyingpermeability of the medium and the Rosseland approximation has been used to describe the radiative heat flux inthe energy equation. Numerical results are presented graphically in the form of velocity, micro- rotation,concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heatand mass transfers at the wall for different material parameters. The study clearly demonstrates how a chemicalreaction influences the above parameters under given conditions.
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    Combined effect of thermophoresis and Brownian motion on MHD mixed convective flow over an inclined stretching surface with radiation and chemical reaction
    (World Scientific, 2023) Sharma, Bhupendra Kumar
    A study has been carried for an incompressible electrically conducting, viscous fluid past a continuously stretching surface in the presence of thermal radiation, viscous dissipation and first-order chemical reaction with thermophoresis and Brownian motion. An inclined uniform magnetic field is applied to the fluid flow region. The governing coupled partial differential equations (PDEs) that describe the model are transformed into a set of nonlinear ordinary differential equations (ODEs) by applying similarity analysis. The resultant nonlinear coupled ODEs are computed numerically in MATLAB software using the boundary value problem solver (BVP4C). The effects of various physical parameters have been examined graphically on velocity, concentration and temperature distribution. The comparison has been made from the previously published work, and there is a good agreement with that. These results can be helpful in geothermal engineering, energy conversation and disposal of nuclear waste material. Moreover, this combined effect can also help biologists to study biological macromolecules such as genomic-length DNA and HIV in the microchannel.
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    Influence of Heat and Mass Transfer on Two-Phase Blood Flow with Joule Heating and Variable Viscosity in the Presence of Variable Magnetic Field
    (World Scientific, 2020) Sharma, Bhupendra Kumar
    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 distribution of 40% RBC containing blood which exhibits that the present results are in fairly good agreement with the experimental results. The velocity contours have been plotted to understand the flow pattern in the diseased narrowed artery, which alters significantly in the downstream of the stenosis under the influence of magnetic field.
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    Soret and Dufour effects on unsteady MHD mixed convection flow past a radiative vertical porous plate embedded in a porous medium with chemical reaction
    (Scientific Research Publishing, 2012) Sharma, Bhupendra Kumar
    The Soret and Dufour effects on unsteady MHD mixed convection flow past an infinite radiative vertical porous plate embedded in a porous medium in the presence of chemical reaction have been studied. A uniform magnetic field acts perpendicular to the porous surface. The Rosseland approximation has been used to describe the radiative heat flux in energy equation. The governing equations are solved numerically by applying explicit finite difference Method. The effects of various parameters on the velocity, temperature and concentration fields have been examined with the help of graphs.
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    Effects of Chemical Reaction on Magneto-Micropolar Fluid Flow from a Radiative Surface with Variable Permeability
    (Sciendo, 2013-09) Singh, Ajit Pratap; Sharma, Bhupendra Kumar
    This paper presents a study of a hydromagnetic free convection flow of an electrically conducting micropolar fluid past a vertical plate through a porous medium with a heat source, taking into account the homogeneous chemical reaction of first order. A uniform magnetic field has also been considered in the study which acts perpendicular to the porous surface of the above plate. The analysis has been done by assuming varying permeability of the medium and the Rosseland approximation has been used to describe the radiative heat flux in the energy equation. Numerical results are presented graphically in the form of velocity, micro- rotation, concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters. The study clearly demonstrates how a chemical reaction influences the above parameters under given conditions.