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Simultaneous Effects of Slip and Wall Stretching/Shrinking on Radiative Flow of Magneto Nanofluid Through Porous Medium

Journal of Magnetics, Volume 23, Number 4, 31 Dec 2018, Pages 491-498
A. Zeeshan * (Department of Mathematics and Statistics, FBAS, International Islamic University), H. F. Ismael (Faculty of Science, Department of Mathematics, University of Zakho), M. A. Yousif (Faculty of Science, Department of Mathematics, University of Zakho), T. Mahmood (Department of Electronics Engineering, University of Engineering and Technology Taxila sub Campus Chakwal), S. U. Rahman (Department of Computer Science, University of Engineering and Technology Taxila sub Campus Chakwal)
Abstract
Effects of the uniform magnetic field on aqueous magneto-Nanofluid confined in a porous domain with wall stretching/shrinking non-linearly is analyzed via this communication. The problem is modeled using continuity,
momentum and energy equation along with linear thermal radiation. The effects of physical quantities are observed for Cu, Al2O3, TiO2 and Ag particles in water. The coupled boundary layer PDE’s are reduced into
the system of ODEs by utilizing similarity transformation and solved using shooting and Runga-Kutta fourth order technique. Stability of the obtained results are also analyzed. The results are displayed through graphs. It
is observed that the momentum boundary layer is thicker when silver particles are introduced in water. Whereas, temperature profile has the minimum value for silver nanoparticles and maximum for Titanium
dioxide. Also, in case of shrinking sheet dual solutions are obtained along with smallest Eigen values.
 
Keywords: magnetic Nanofluid; second order slip boundary condition; non-linear stretching/shrinking sheet; porous medium; thermal radiation
DOI: https://doi.org/10.4283/JMAG.2018.23.4.491
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