Document Type : Original Article
Authors
1
Department of Engineering Mathematics and Physics, Faculty of Engineering El-Materia, Helwan University, Cairo, Egypt.
2
Department of Basic Engineering Sciences, Faculty of Engineering, BADR University in Cairo BUC, Egypt
3
Department of Mathematics, Faculty of Science (Boys), Al-Azhar University, Cairo, Egypt.
4
Department 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
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