# Soret Effect and Chemical Process on MHD Oscillatory Flow in a Physiological Fluid

## TL;DR

This study explores how magnetic fields and chemical reactions affect blood flow in arteries, showing that these factors can influence flow velocity during surgeries.

## Contribution

The novelty lies in modeling MHD oscillatory flow in a porous arteriole with Soret and chemical effects, revealing how viscoelasticity and magnetic fields impact blood flow.

## Key findings

- Blood viscoelasticity significantly reduces flow velocity in arteries.
- Increasing magnetic field parameters increases blood flow velocity due to Lorentz force.
- Graphical analysis of physical parameters like Grashof and Soret numbers highlights their influence on flow dynamics.

## Abstract

This paper investigates the impact of chemical and Soret reactions on magnetohydrodynamic (MHD) oscillatory flow in a porous arteriole. Using appropriate mathematical techniques, a model of a mathematical equation is developed and solved. The flow governing equations are formulated based on certain assumptions. Exact solutions are attained for the profiles of velocity, temperature, and concentration. To highlight the key features, the numerical computations of the physical parameters, Grashof number, Reynolds number, Magnetic number, and Soret number were presented graphically. The present study reveals the viscoelasticity of blood significantly reduces flow velocity. And also illustrates blood flow (BF) in the artery is affected by the Lorentz force, which causes the velocity of the BF to increase as the magnetic field parameter values increase. The obtained outcome may be very useful in controlling BF during the surgical procedure.