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Numerical Investigations of Effects of Lorentz Force and Hydrodynamic Slip on the Flow Characteristics of an Upper-Convected Maxwell Viscoelastic Nanofluid in a Permeable Channel Embedded in a Porous Medium

M. G. Sobamowo, S. I. Alozie, A. A. Yinusa, A. O. Adedibu, M. O. Salami, O. Kehinde


In this work, impacts of Lorentz force and hydrodynamic slip on the flow characteristics of an upper-convected Maxwell (UCM) nanofluid through a permeable microchannel embedded in porous medium are investigated numerically using fifth-order Runge–Kutta–Fehlberg method. Based on the parametric study, it is observed from the results that increase in slip parameter, nanoparticle concentration and Darcy number lead to increase in the velocity of the UCM fluid, while increase in Deborah’s, Hartmann and Reynolds numbers decreases the fluid flow velocity towards the lower plate. But as the upper plate is approached, a reverse trend is observed. The study can be used to advance the application of UCM flow in the areas of biomedical, geophysical and astrophysics.


Magnetic field; porous medium; slip analysis; upper-convected Maxwell flow; viscoelastic nanofluid

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