Effect of Heat Transfer and Slipping on MHD Peristaltic Flow with Suspended Particles

Document Type : Original Article


1 Basic engineering science. menoufia university, shebin elkom, egypt

2 Meuof

3 Basic Engineering Sciences Department, Engineering Faculty, Menoufia University


This paper undertakes a comprehensive examination to theoretically assess the impact of magnetohydrodynamics (MHD), heat transfer, wall slip effects, and wall roughness on peristaltic flow incorporating suspended particles within an inclined channel immersed in porous media. The primary objective of this research is to afford a precise comprehension of fluid dynamics, specifically the peristaltic flow of vital fluids such as blood and their constituents within the human circulatory system. Furthermore, the implications of these findings extend to both biological and industrial domains magnetic resonance imaging (MRI) and radiosurgery applications. The governing equations encompassing continuity, momentum, and energy have been rigorously employed to model the intricate dynamics of the flow, with the perturbation method adroitly applied to analytically solve these inherently heterogeneous equations. The resultant analytical expressions, elucidating the interdependence of current, temperature, and pressure gradient, constitute pivotal outcomes of this investigation. Critical to the study is a meticulous analysis, inclusive of the visualization of the impact of various physical factors on key flow properties, such as the streamline function and axial velocity function. The software is utilized for plotting the diverse effects on speed and pressure gradient. It is noteworthy that an escalation in wall slip manifests as a proportionate increase in the axial velocity of the fluid. Additionally, it is observed that the augmentation of the magnetic field correlates with an increase in the pressure difference, a trend that diminishes with higher degrees of wall slip.


Volume 47, Issue 2
(issued on 1/4/2024 in 4 Parts: Part (1): Mechanical Engineering, Part (2): Civil Engineering, Part (3): Architectural Engineering, Part (4:) Basic Engineering Sciences).
April 2024
Pages 281-305