Effect of Variable Viscosity on MHD Inclined Arterial Blood Flow with Chemical Reaction
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 varia...
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doaj-ca23328a4f4f4a2a866775389c9fd98c2021-09-05T21:02:02ZengSciendoInternational Journal of Applied Mechanics and Engineering1734-44922353-90032018-08-0123376778510.2478/ijame-2018-0042ijame-2018-0042Effect of Variable Viscosity on MHD Inclined Arterial Blood Flow with Chemical ReactionTripathi B.0Sharma B.K.1Department of Mathematics, BITS Pilani (Pilani Campus), Pilani, Rajasthan-333031, IndiaDepartment of Mathematics, BITS Pilani (Pilani Campus), Pilani, Rajasthan-333031, IndiaIn 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 values of the applied magnetic field increase while it reduces as the values of both the chemical reaction and porosity parameters increase. Contour plots have been plotted to show the variations of the velocity profile of blood flow as the values of the height of the stenosis as well as the influence of the applied magnetic field increase.https://doi.org/10.2478/ijame-2018-0042magnetohydrodynamical fluid (mhd)homotopy perturbation method (hpm)variable viscositychemical reaction |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Tripathi B. Sharma B.K. |
spellingShingle |
Tripathi B. Sharma B.K. Effect of Variable Viscosity on MHD Inclined Arterial Blood Flow with Chemical Reaction International Journal of Applied Mechanics and Engineering magnetohydrodynamical fluid (mhd) homotopy perturbation method (hpm) variable viscosity chemical reaction |
author_facet |
Tripathi B. Sharma B.K. |
author_sort |
Tripathi B. |
title |
Effect of Variable Viscosity on MHD Inclined Arterial Blood Flow with Chemical Reaction |
title_short |
Effect of Variable Viscosity on MHD Inclined Arterial Blood Flow with Chemical Reaction |
title_full |
Effect of Variable Viscosity on MHD Inclined Arterial Blood Flow with Chemical Reaction |
title_fullStr |
Effect of Variable Viscosity on MHD Inclined Arterial Blood Flow with Chemical Reaction |
title_full_unstemmed |
Effect of Variable Viscosity on MHD Inclined Arterial Blood Flow with Chemical Reaction |
title_sort |
effect of variable viscosity on mhd inclined arterial blood flow with chemical reaction |
publisher |
Sciendo |
series |
International Journal of Applied Mechanics and Engineering |
issn |
1734-4492 2353-9003 |
publishDate |
2018-08-01 |
description |
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 values of the applied magnetic field increase while it reduces as the values of both the chemical reaction and porosity parameters increase. Contour plots have been plotted to show the variations of the velocity profile of blood flow as the values of the height of the stenosis as well as the influence of the applied magnetic field increase. |
topic |
magnetohydrodynamical fluid (mhd) homotopy perturbation method (hpm) variable viscosity chemical reaction |
url |
https://doi.org/10.2478/ijame-2018-0042 |
work_keys_str_mv |
AT tripathib effectofvariableviscosityonmhdinclinedarterialbloodflowwithchemicalreaction AT sharmabk effectofvariableviscosityonmhdinclinedarterialbloodflowwithchemicalreaction |
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1717781525051736064 |