Investigating the Impact of Magnetic Fields and Pulsating Pressure on Non-Newtonian Fluid Flow in Symmetric/Asymmetric Corrugated Microchannels
Y. Sayed, A., I. Ahmed, S., S. Mekheimer, K., S. Abdel-wahed, M. (2023). Investigating the Impact of Magnetic Fields and Pulsating Pressure on Non-Newtonian Fluid Flow in Symmetric/Asymmetric Corrugated Microchannels. EKB Journal Management System, 179(0), 43-67. doi: 10.21608/erj.2023.315737
Ahmed Y. Sayed; Shaaban I. Ahmed; Khaled. S. Mekheimer; Mohamed S. Abdel-wahed. "Investigating the Impact of Magnetic Fields and Pulsating Pressure on Non-Newtonian Fluid Flow in Symmetric/Asymmetric Corrugated Microchannels". EKB Journal Management System, 179, 0, 2023, 43-67. doi: 10.21608/erj.2023.315737
Y. Sayed, A., I. Ahmed, S., S. Mekheimer, K., S. Abdel-wahed, M. (2023). 'Investigating the Impact of Magnetic Fields and Pulsating Pressure on Non-Newtonian Fluid Flow in Symmetric/Asymmetric Corrugated Microchannels', EKB Journal Management System, 179(0), pp. 43-67. doi: 10.21608/erj.2023.315737
Y. Sayed, A., I. Ahmed, S., S. Mekheimer, K., S. Abdel-wahed, M. Investigating the Impact of Magnetic Fields and Pulsating Pressure on Non-Newtonian Fluid Flow in Symmetric/Asymmetric Corrugated Microchannels. EKB Journal Management System, 2023; 179(0): 43-67. doi: 10.21608/erj.2023.315737

Investigating the Impact of Magnetic Fields and Pulsating Pressure on Non-Newtonian Fluid Flow in Symmetric/Asymmetric Corrugated Microchannels

Engineering Research Journal
Volume 179, Issue 0, September 2023, Page 43-67  XML PDF (1.23 MB)
Document Type: Original Article
DOI: 10.21608/erj.2023.315737
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Authors
Ahmed Y. Sayed1; Shaaban I. Ahmed* 2; Khaled. S. Mekheimer3; Mohamed S. Abdel-wahed4
1Department of Engineering Mathematics and Physics, Faculty of Engineering El-Materia, Helwan University, Cairo, Egypt.
2Department of Basic Engineering Sciences, Faculty of Engineering, BADR University in Cairo BUC, Egypt
3Department of Mathematics, Faculty of Science (Boys), Al-Azhar University, Cairo, Egypt.
4Department of Basic Engineering Sciences, Faculty of Engineering, BADR University in Cairo BUC, Egypt Department of Basic Engineering Sciences, Faculty of Engineering at Benha, Benha University, Cairo, Egypt.
Abstract
This study presents approximate analytical solutions for the velocity and volume flow rate of an electrically 
conducting, incompressible, and viscous Jeffrey fluid flowing through an asymmetric corrugated channel between 
two slit microparallel plates under electromagnetohydrodynamic conditions. The study uses the perturbation 
method to describe the periodic sinusoidal waves with small amplitude that characterize the corrugations of the 
two walls, which can be either in phase or half-period out of phase. The study also examines how the corrugations 
affect the velocity of the EMHD flow by performing numerical computations. The results show the dependence 
of the velocity profiles and mean velocity parameter on various factors, including Reynolds number (𝑅𝑒), 
Hartmann number (𝐻𝑎), Porous Medium (𝐷𝑎) , dimensionless wave number (𝜆) of the wall perturbation, and the 
dimensionless relaxation time (𝜆1) and retardation time(𝜆2). The findings of this study have important 
implications for understanding the behavior of non-Newtonian fluids within asymmetric corrugated channels under 
electromagnetohydrodynamic conditions.
Keywords
Microchannel; Corrugated walls; Perturbation method; Jeffrey fluids; Nanofluid; Pulsating pressure
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