Mathematical Model on two layer Blood Flow in capillaries with context to Diabetes

Sharma, Tarunika; Khubnani, Rashi; Chandra, Harish

doi:10.31782/ijcrr.2018.10145

Cited by 1 publication

(1 citation statement)

References 6 publications

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“…Murthy and Bahali [13] conducted a study of micropolar liqu id flow through circular tubes under the influence of a transverse magnetic field with constant suction or injection at the tube wall. Sharma et al [14] studied the effect of a transverse magnetic field on blood flow in a cylindrical tube containing magnetic particles. Eldesoky [15] studied the slip effect on transient MHD pulsatile blood flow through porous media in arteries under the influence of body acceleration.…”

Section: Introductionmentioning

confidence: 99%

Influence of a Magnetic Field on Blood Flow Through an Inclined Tapered Vessel with a Heat Source

Bunonyo¹,

Ebiwareme²

2023

IJMRA

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In this study, we investigated the effect of a heat source on blood flow through a gradient-tapered vessel under the influence of a gradient magnetic field by reformulating the problem using a mathematical model representing the blood momentum and energy equations. The partial differential equations were dimensionlessly scaled using a scaling parameter and further reduced to a system of ordinary differential equations. A coupled system of regular equations was solved using the series method to obtain analytical solutions for temperature and blood velocity profiles. Numerical simulations were performed using Wolfram Mathematica version 12 and varied parameters relevant to the investigation. The results showed that the relevant parameters—magnetic field, radiation parameter, Grashof number, and tilt angle contributed to liquid temperature and blood flow velocity, respectively. The novelty of this study is the fact that heat can be introduced from a heat source for the purpose of helping blood circulation, and magnetic fields tend to accelerate blood flow velocity.

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Section: Introductionmentioning

confidence: 99%