Sharif University of TechnologyScientia Iranica1026-309827620201201Computational analysis of unsteady and steady magnetohydrodynamic radiating nano fluid flows past a slippery stretching sheet immersed in a permeable medium345434662186410.24200/sci.2020.53055.3039ENMuhammad FarooqDepartment of Mathematics, School of Natural Sciences (SNS), National University of
Sciences and Technology (NUST), Sector H-12, 44000, Islamabad, PakistanAisha SalahuddinDepartment of Mathematics, School of Natural Sciences (SNS), National University of
Sciences and Technology (NUST), Sector H-12, 44000, Islamabad, PakistanMudassar RazzaqLahore University of Management Sciences, bDepartment of Mathematics, Lahore University of Management Sciences (LUMS), 54792,
Lahore, PakistanLahore, PakistanSabir HussainChah Ranjhay Wala, Post Office Bangla Morr, Tehsil Shujaabad, Multan, PakistanAsif MushtaqSeksjon for Matematikk, Nord Universitet, 8026 Bodo, NorwayJournal Article20190301This work gives an account of unsteady and steady radiating magnetohydrodynamics (MHD) nanofluid flow over a slippery stretching sheet embedded in a porous medium. A widely used similarity variables of such flows reduces a governing partial differential equations (PDEs) into a new set of partial differential equations (PDEs) in which a dependent variable is a function of two independent variables rather than three. At the same time, third order PDEs are converted into a second order PDEs by defining a new variable wherever it is deemed necessary. For the time integration, we perform first order explicit Euler method and spatial derivatives are approximated by the finite difference formulas in the context of node-centered finite volume method. It is revealed that for the unsteady flow the temperature of the nanofluid is higher near the surface without thermophoresis parameter Nt and reduced significantly when Nt is present. We also show that the concentration boundary layer thickness decreases with an increase of Darcy number Da.https://scientiairanica.sharif.edu/article_21864_6b9ced1ec6f026a2ff1959eb90e61868.pdf