Peristaltic mechanism in an inclined asymmetric channel soaked with porous media and under magnetic effects: numerical simulation equipped with finite element method

Abstract

This study is proposed for the numerical simulation of the peristaltic mechanism using the finite element method with the Galerkin residual technique to explore peristaltic transportation under the action of an externally applied magnetic field passing through an inclined asymmetric channel saturated with porous media. The Navier-stokes equations are solved for the peristaltic mechanism non-linearly by the exemption of lubrication theory to study the inertial effects. The numerical simulations and results are obtained by applying the finite element method based on quadratic triangular elements. It is observed that pressure rise per wavelength is enhanced by increasing the angle of inclination$0.8\le Q\le 1.4$.

KEYWORDS:

• Peristaltic flow
• inclined asymmetric channel
• porous medium
• magnetohydrodynamics
• inertial forces
• finite element method

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Liaqat Ali

Dr. Liaqat Ali has been associated with many international universities and colleges since 2005. Before joining the University of Science and Technology of Fujairah, he worked as an Associate Professor at AMA International University - Kingdom of Bahrain. He has experience working as a Principal, Director of Studies, and Program Director in the UK. Dr. Ali also has around 20 years of teaching experience in the field of Information Systems, Business Information Systems, and other IT-related fields. With a strong research background, Dr. Ali has published in many research journals and conference papers around the world. Dr. Ali's main teaching area is Information Systems and Business Information Systems. He has extensive experience in teaching subjects such as Systems Analysis and Design, Management Information Systems, Business Process Management, Business Intelligence, E-Business, Project Management, Web Design, and Development, etc. Dr. Ali's principal research area for several years has been in the field of IS, e-accessibility and web development, cyber-crimes, and business information systems. His research activities cover e-accessibility, web development, cyber-crimes, computer security, business information systems, and management information systems. Dr. Ali has successfully supervised 125 postgraduate theses in the UK in addition to undergraduate projects in both the UK and UAE.

Bilal Ahmed

Dr. Bilal Ahmed earned his Ph.D. Degree in Mathematics from International Islamic university, Islamabad, Pakistan in 2018. Before joining University of science and Technology of Fujairah as Visiting Assistant Professor, Dr. Bilal's served for more than fifteen years in different colleges and universities of Pakistan. Dr. Bilal's research work is mainly in Fluid Mechanics (Newtonian and non-Newtonian fluids, Stretching sheet flows, Boundary layer flows, Heat transfer analysis, Magnetohydrodynamic (MHD), Peristaltic motion, Unsteady flows, Blood flow in arteries. Dr. Bilal has published several research papers in reputed international journals. His research work is of versatile nature and got reasonable citations from the researchers in the field. Dr. Bilal's current research focuses on advanced engineering, numerical techniques and flow problem simulations in fluid dynamics by using most of the mathematical software such as MATLAB, MATHEMATICA etc. He is a reviewer of several international journals. Dr. Bilal's supervised twenty-three MS research students. He has presented his research work in more than thirty national and international conferences.