Skip to main content

Research Repository

Advanced Search

Thermo-Magnetic Peristaltic Casson Flow in a Microchannel containing a Darcy- Brinkman porous medium with thermal radiation and heat source effects

Shankar, G; Deepalakshmi, P; Siva, E P; Tripathi, D; Anwar Bég, O

Authors

G Shankar

P Deepalakshmi

E P Siva

D Tripathi



Contributors

Abstract

Abstact: The objective of this article is to study mathematically the magnetohydrodynamic (MHD) unsteady non-Newtonian oscillatory blood flow and heat transfer in micro-channels containing a Darcy-Brinkman porous medium. The Casson fluid model is deployed. Additionally the effects of heat source, nonlinear thermal radiation and Hall current are included. Convective heating and slip at the internal boundaries of the microchannel are also examined. Utilizing a set of non-dimensional variables the governing partial differential equations and associated boundary conditions are transformed into non-dimensional form. By solving the transformed model, exact solutions are obtained. Graphical representations depict the influence of different physical characteristics on the velocity and temperature patterns. In addition, this study incorporated a parametric analysis to demonstrate the impacts of key parameters on Nusselt number and wall shear stress. Increased values of thermal radiation and the Casson rheological parameter produce intensify velocity fields. Blood flow is also controlled by modulating the intensity of the external magnetic field, and the regulation of the blood temperature is achieved via modifying its thermal conductivity. With an increment in thermal Biot number (Bh) (stronger convective heating at the micro-channel walls) there is a uniform increase in temperatures. With elevation in Hall parameter, more complex streamline patterns are generated and there is an increased in the magnitude of trapped boluses. An increment in Grashof number (Gr) i.e. stronger thermal buoyancy force, accelerates the flow. Elevation in Nusselt number is produced with a stronger heat source (S). With greater frequency (), the blood flow is more strongly modified by periodic fluctuations in the driving pressure and this produces an elevated amplitude of velocity oscillations, thereby increasing the average velocity of the blood. Increasing slip (í µí»¾) generates significant flow deceleration in the micro-channel.This work, which focuses on thermal radiation in the blood flow, will significantly influence therapeutic strategies for hyperthermia. Specifically, the analysis provides a good foundation for more sophisticated computational fluid dynamics (CFD) studies and will enhance our understanding and management of blood flow and heat transfer in for example arterial hemodynamics.

Journal Article Type Article
Acceptance Date Nov 5, 2024
Deposit Date Nov 5, 2024
Journal Pramana-Journal of Physics
Peer Reviewed Peer Reviewed
Keywords Casson blood flow; Magnetohydrodynamics; peristalsis; Hall current; Heat transfer; Exact solution; oscillatory; Convective and slip boundary conditions; Heat sources; Thermal radiation