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Numerical and Series Solutions for Stagnation-Point Flow of Nanofluid over an Exponentially Stretching Sheet

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  • Meraj Mustafa
  • Muhammad A Farooq
  • Tasawar Hayat
  • Ahmed Alsaedi

Abstract

This investigation is concerned with the stagnation-point flow of nanofluid past an exponentially stretching sheet. The presence of Brownian motion and thermophoretic effects yields a coupled nonlinear boundary-value problem (BVP). Similarity transformations are invoked to reduce the partial differential equations into ordinary ones. Local similarity solutions are obtained by homotopy analysis method (HAM), which enables us to investigate the effects of parameters at a fixed location above the sheet. The numerical solutions are also derived using the built-in solver bvp4c of the software MATLAB. The results indicate that temperature and the thermal boundary layer thickness appreciably increase when the Brownian motion and thermophoresis effects are strengthened. Moreover the nanoparticles volume fraction is found to increase when the thermophoretic effect intensifies.

Suggested Citation

  • Meraj Mustafa & Muhammad A Farooq & Tasawar Hayat & Ahmed Alsaedi, 2013. "Numerical and Series Solutions for Stagnation-Point Flow of Nanofluid over an Exponentially Stretching Sheet," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-9, May.
    • Handle: RePEc:plo:pone00:0061859
    DOI: 10.1371/journal.pone.0061859
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    Cited by:

    1. Ahmad, Manzoor & Muhammad, Taseer & Ahmad, Iftikhar & Aly, Shaban, 2020. "Time-dependent 3D flow of viscoelastic nanofluid over an unsteady stretching surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).

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