Second law of thermodynamics analysis of hydro-magnetic nano-fluid slip flow over a stretching permeable surface

  • Seyed Sajad JafariEmail author
  • Navid Freidoonimehr
Technical Paper


The main purpose of the present article is to study the second law of thermodynamics over a stretching permeable surface in the presence of the uniform vertical magnetic field in the slip nano-fluid regime. In this study, four types of nanoparticles; i.e., Copper Cu, Copper oxide CuO, Aluminum oxide Al2O3, and Titanium dioxide TiO2 and also water as the base fluid are considered. Entropy generation equations, for the first time in this problem, are derived as a function of velocity and temperature gradients. Velocity profile as well as temperature distribution and averaged entropy generation are obtained using optimal homotopy analysis method (OHAM). An excellent agreement exists between the present result and the other researchers’ result. The obtained result of present study presents that by decreasing magnetic parameter, nanoparticle volume fraction parameter, suction parameter, Reynolds number, Brinkman number, and Hartmann number as well as increasing the slip velocity parameter, the generated entropy reduces.


Second law of thermodynamics Slip flow MHD Nano-fluid Stretching surface Optimal homotopy analysis method 



The authors wish to express appreciation to Young Researchers and Elite Club of Iran Islamic Azad University for supporting this project. The authors are also very grateful to the anonymous referees for carefully reading the paper and for their constructive comments and suggestions which have improved the paper.


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2014

Authors and Affiliations

  1. 1.Young Researchers and Elite Club, Hamedan BranchIslamic Azad UniversityHamedanIran

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