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

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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.

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Author information

Authors and Affiliations

  1. Young Researchers and Elite Club, Sari Branch, Islamic Azad University, Sari, Iran

    Mehdi Fakour

  2. Department of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran

    Alireza Rahbari

  3. Research School of Engineering, The Australian National University, Canberra, ACT, 2601, Australia

    Alireza Rahbari

  4. Mechanical Engineering Dept., Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Avenue, P.O. Box 15875-4413, Tehran, Iran

    Erfan Khodabandeh

  5. Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran

    Davood Domiri Ganji

Authors
  1. Mehdi Fakour
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  2. Alireza Rahbari
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  3. Erfan Khodabandeh
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  4. Davood Domiri Ganji
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Corresponding author

Correspondence to Mehdi Fakour.

Additional information

Recommended by Associate Editor Simon Song

M. Fakour received his M.Sc. degree in Mechanical Engineering at Azad University in 2014. His major research interests are engineering mathematics, heat transfer, solar thermal science and analytical methods. He has published several papers in the mentioned subjects.

A. Rahbari received his Ph.D. degree from Mechanical engineering at Iran University of Science and Technology in 2011. He has been an Assistant Professor at Shahid Rajaee Teacher Training University (SRTTU). His research interests include heat transfer enhancement using nanofluids, permeability analysis in porous media, exergy analysis and supercritical water gasification.

E. Khodabandeh received his B.S. and M.S. degrees from Mechanical Engineering at Isfahan University of Technology in 2012 and Amirkabir University of Technology in 2014, respectively. He is currently a Technical Manager in a private company. His research interests are in the area of fluid engineering, CFD in applications and optimization.

D. D. Ganji received his Ph.D. degree in Mechanical Engineering from Tarbiat Modarres University in 2004. He is a Professor in Department of Mechanical Engineering at Babol University of Technology. His core research interest is the development of new analytical techniques for solving ordinary and partial differential equations in a wide range of subjects including heat conduction, mechanics of fluid and engineering control.

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Fakour, M., Rahbari, A., Khodabandeh, E. et al. Nanofluid thin film flow and heat transfer over an unsteady stretching elastic sheet by LSM. J Mech Sci Technol 32, 177–183 (2018). https://doi.org/10.1007/s12206-017-1219-5

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  • DOI: https://doi.org/10.1007/s12206-017-1219-5

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