Papers by Bhavya Tripathi
Ricerche di Matematica
The paper presents a study related to the two-phase analysis of pulsatile blood flow through a na... more 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 $$0.3\%$$ 0.3 % for the two-phase model while it is $$1\%$$ 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.
arXiv: Fluid Dynamics, 2018
In this paper, effects of heat and mass transfer on two-phase pulsatile blood flow through a narr... more In this paper, effects of heat and mass transfer on two-phase pulsatile blood flow through a narrowed stenosed artery with radiation and the chemical reaction have been investigated. A vertical artery is assumed in which magnetic field is applied along the radial direction of the artery. The characteristics of blood in narrow arteries are analyzed by considering blood as Newtonian fluid in both core as well as in plasma regions. Exact solutions have been found for velocity, energy and concentration equations of the blood flow. To understand the behavior of blood flow, graphs of the velocity profile, wall shear stress, flow rate, flow impedance and concentration profile have been portrayed for different values of the magnetic and radiation parameter. In order to validate our result, a comparative study has been presented between the single-phase and two-phase model of the blood flow and it is observed that the two-phase model fits more accurately with the experimental data than the s...
In this article, effects of heat transfer on MHD blood flow through a stenosed inclined porous ar... more In this article, effects of heat transfer on MHD blood flow through a stenosed inclined porous artery with heat source have been investigated. The viscosity of the blood is assumed to be varying radially with hematocrit throughout the region of the artery. Governing equations have been derived by treating blood as incompressible magnetohydrodynamic (MHD) Newtonian fluid. Momentum and energy equations of the fluid flow are simplified under the assumption of mild stenosis. Homotopy perturbation method (HPM) is used to solve nonlinear differential equations for velocity and temperature profiles of the blood flow. Variation of flow rate and shear stress for different values of inclination angle and hematocrit parameter along the diseased part of artery have been plotted graphically. For having the adequate insight of the flow pattern in the diseased artery, velocity contours have been plotted for different values of the height of the stenosis and for different inclination angles of the ...
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...
arXiv: Fluid Dynamics, 2016
In this article, effects of heat transfer on MHD blood flow through a stenosed inclined porous ar... more In this article, effects of heat transfer on MHD blood flow through a stenosed inclined porous artery with heat source have been investigated. The viscosity of the blood is assumed to be varying radially with hematocrit throughout the region of the artery. Governing equations have been derived by treating blood as incompressible magnetohydrodynamic (MHD) Newtonian fluid. Momentum and energy equations of the fluid flow are simplified under the assumption of mild stenosis. Homotopy perturbation method (HPM) is used to solve nonlinear differential equations for velocity and temperature profiles of the blood flow. Variation of flow rate and shear stress for different values of inclination angle and hematocrit parameter along the diseased part of artery have been plotted graphically. For having the adequate insight of the flow pattern in the diseased artery, velocity contours have been plotted for different values of the height of the stenosis and for different inclination angles of the ...
arXiv: Fluid Dynamics, 2016
In this paper, effects of heat transfer on the blood flow through a stenosed, inclined non-tapere... more In this paper, effects of heat transfer on the blood flow through a stenosed, inclined non-tapered porous artery subject to the action of external magnetic field is investigated. Viscosity is assumed as variable viscosity with variable Hematocrit throughout the region of the artery. Governing equations have been modeled by taking blood as incompressible magnetohydrodynamic (MHD) Newtonian fluid. The energy equation is formulated by taking an extra factor of the heat source in its equation. The nonlinear momentum equations are simplified under the assumption of mild stenosis. Homotopy perturbation method (HPM) is used to solve nonlinear equations of velocity and temperature profiles. Effects of porosity parameter (Z), applied magnetic field parameter (M), variable hematocrit parameter(Hr), Brinkman number (Br), heat source parameter (Q) and the Grashof number (Gr) on velocity and temperature profiles are discussed graphically.
Journal of Nanofluids, 2019
AIP Conference Proceedings, 2018
International Journal of Applied Mechanics and Engineering, 2018
In this paper, we present the mathematical study of heat and mass transfer effects on an arterial... more In this paper, we present the mathematical study of heat and mass transfer effects on an arterial blood flow under the influence of an applied magnetic field with chemical reaction. A case of mild stenosis is considered in a non-tapered artery which is inclined at an angle γ from the axis. The variable viscosity of the blood is considered varying with the hematocrit ratio. Governing non-linear differential equations have been solved by using an analytical scheme, homotopy perturbation method to obtain the solution for the velocity, temperature and concentration profiles of the blood flow. For having an adequate insight to blood flow behavior through a stenosed artery, graphs have been plotted for wall shear stress, velocity, temperature and concentration profiles with varying values of the applied magnetic field, chemical reaction parameter and porosity parameter. The results show that in an inclined artery, the magnitude of the wall shear stress at stenosis throat increases as valu...
International Journal of Computational Methods, 2018
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...
The European Physical Journal Plus, 2019
Abstract.Present paper deals with MHD two-phase blood flow through a stenosed inclined artery wit... more Abstract.Present paper deals with MHD two-phase blood flow through a stenosed inclined artery with viscous dissipation, Joule heating and k -th-order chemical reaction. The two layered model of blood flow is considered in which core and plasma regions have temperature-dependent viscosity and constant viscosity, respectively. Elliptic shaped stenosis is considered for both core and plasma regions, separately. A continuous behaviour is assumed at interface of both core and plasma regions of blood flow with a no slip condition at the wall of the artery. Governing coupled non-linear partial differential equations are solved using a numerical technique named as single shooting method. The quantitative profile analysis is done for velocity, temperature, concentration of blood flow over an entire arterial segment. The effects of various parameters on flow characteristics for two-phase blood flow through stenosed artery are presented with the help of graphs. Current findings are in a good agreement with the findings of previous recent research studies.
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Papers by Bhavya Tripathi