Slip analysis of magnetohydrodynamics flow of an upper-convected Maxwell viscoelastic nanofluid in a permeable channel embedded in a porous medium
- Aeronautics and Aerospace Open Access Journal
- MG Sobamowo, Department of Mechanical Engineering, University of Lagos, Nigeria
- AA Yinusa, Department of Mechanical Engineering, University of Lagos, Nigeria
- AA Oluwo, Department of Mechanical Engineering, University of Lagos, Nigeria
- SI Alozie, Department of Mechanical Engineering, University of Lagos, Nigeria
The continuous applications of viscoelastic fluids in biomedical engineering and industrial processes require some studies that provide better physical insights into the flow phenomena of the fluids. In this work, homotopy perturbation method is applied to investigate the simultaneous effects of slip and magnetic field on the flow of an upper convected Maxwell nanofluid through a permeable microchannel embedded in a porous medium. The results of the approximate analytical solution depict very good agreements with the results of the fourth order Runge-Kutta Fehlberg numerical method for the verification of the mathematical method used in analyzing the flow. Thereafter, the obtained analytical solutions are used to investigate the effects of pertinent rheological parameters on the flow process. It is observed from the results that increase in slip parameter, nanoparticle concentration and Darcy number lead to increase in the velocity of the upper-convected Maxwell fluid. However, when the Deborah’s number increases, the Hartmann, and Reynold numbers decrease 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 upper convected Maxwell flow in the areas of in biomedical, geophysical and astrophysics.
slip analysis, upper-convected Maxwell flow, viscoelastic nanofluid, magnetic field, porous medium