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 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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