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Journal of Mechanical Science and Technology

, Volume 32, Issue 1, pp 177–183 | Cite as

Nanofluid thin film flow and heat transfer over an unsteady stretching elastic sheet by LSM

  • Mehdi Fakour
  • Alireza Rahbari
  • Erfan Khodabandeh
  • Davood Domiri Ganji
Article

Abstract

This study is carried out on the unsteady flow and heat transfer of a nanofluid in a stretching flat plate. Least square method is implemented for solving the governing equations. It also attempts to demonstrate the accuracy of the aforementioned method compared with a numerical one, Runge-Kutta fourth order. Furthermore, the impact of some physical parameters like unsteadiness parameter (S), Prandtl number (Pr) and the nanoparticles volume fraction (ϕ) on the temperature and velocity profiles is scrutinized carefully. Accordingly, the results obtained from this study reveal that the temperature enhances by means of augmenting the nanoparticles volume fraction. At η ∈ {0, 0.5}, the velocity decreases as a result of a rise in nanoparticles volume fraction and at η ∈ {0.5, 1}, an opposite treatment takes place. Moreover, velocity distribution augments by raising the S value, however an inverse trend is observed in temperature values. Moreover, the local skin friction coefficient indicated a notable rise by increasing the S parameter as well as a steady decrease by rising ϕ. Finally, water-Alumina nanofluid demonstrated better heat transfer enhancement compared to other types of nanofluids.

Keywords

Least square method (LSM) Nanofluid volume fraction Thin film nanofluid Unsteady stretching elastic sheet 

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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Mehdi Fakour
    • 1
  • Alireza Rahbari
    • 2
    • 3
  • Erfan Khodabandeh
    • 4
  • Davood Domiri Ganji
    • 5
  1. 1.Young Researchers and Elite Club, Sari BranchIslamic Azad UniversitySariIran
  2. 2.Department of Mechanical EngineeringShahid Rajaee Teacher Training University (SRTTU)TehranIran
  3. 3.Research School of EngineeringThe Australian National UniversityCanberraAustralia
  4. 4.Mechanical Engineering Dept.Amirkabir University of Technology (Tehran Polytechnic)TehranIran
  5. 5.Department of Mechanical Engineering, Sari BranchIslamic Azad UniversitySariIran

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