Analytical and numerical studies on heat transfer of a nanofluid over a stretching/shrinking sheet with second-order slip flow model

M. M. Rashidi, A. K.Abdul Hakeem, N. Vishnu Ganesh, B. Ganga, M. Sheikholeslami, E. Momoniat

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


Background: The objective of the present study is to analyse the steady second-order slip flow and heat transfer of an incompressible viscous water-based nanofluid over a stretching/shrinking sheet both analytically and numerically. Methods: Using the scaling group transformations, a system of partial differential equations governing the flow and thermal fields is transformed into a system of ordinary differential equations. An exact solution to the momentum equation is obtained, and the solution of the energy equation is obtained in terms of a hypergeometric function for different water-based nanofluids containing Au, Ag, Cu, Al, Al2O3 and TiO2 nanoparticles. Numerical solutions are obtained using a fourth-order Runge-Kutta method coupled with a shooting iteration technique. Results: It is found that there exist a unique solution in the case of a stretching sheet with suction, but there is no solution in both stretching and shrinking sheets with injection. Dual solutions are obtained in a shrinking sheet beyond a suction critical point. The presence of nanoparticles decreases the suction critical point. Conclusions: Excellent agreement is observed between the analytical and numerical results. The effects of important physical parameters are analysed in detail. The corresponding local skin-friction coefficient and the reduced Nusselt number are also calculated and displayed in tables.

Original languageEnglish
Article number1
JournalInternational Journal of Mechanical and Materials Engineering
Issue number1
Publication statusPublished - 1 Dec 2016
Externally publishedYes


  • Heat transfer
  • Nanofluid
  • Scaling group transformations
  • Second-order slip
  • Stretching/shrinking sheet

ASJC Scopus subject areas

  • Materials Science (miscellaneous)
  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


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