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Mathematical Problems in Engineering
Volume 2017, Article ID 5830279, 9 pages
Research Article

CuO–Water Nanofluid Magnetohydrodynamic Natural Convection inside a Sinusoidal Annulus in Presence of Melting Heat Transfer

1Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
2Department of Mathematics & Statistics, FBAS, IIUI, H-10 Sector, Islamabad, Pakistan
3Academy of Romanian Scientists, 050094 Bucharest, Romania

Correspondence should be addressed to R. Ellahi; moc.oohay@ihalletamhar

Received 23 April 2017; Accepted 3 July 2017; Published 31 July 2017

Academic Editor: Efstratios Tzirtzilakis

Copyright © 2017 M. Sheikholeslami et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Impact of nanofluid natural convection due to magnetic field in existence of melting heat transfer is simulated using CVFEM in this research. KKL model is taken into account to obtain properties of CuO–H2O nanofluid. Roles of melting parameter , CuO–H2O volume fraction , Hartmann number (Ha), and Rayleigh (Ra) number are depicted in outputs. Results depict that temperature gradient improves with rise of Rayleigh number and melting parameter. Nusselt number detracts with rise of Ha. At the end, a comparison as a limiting case of the considered problem with the existing studies is made and found in good agreement.