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Analytical investigation for Lorentz forces effect on nanofluid Marangoni boundary layer hydrothermal behavior using HAM

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Abstract

In this paper, semi analytical approach is applied to investigate nanofluid Marangoni convection in presence of magnetic field. Koo–Kleinstreuer–Li model is taken into account to simulate nanofluid properties. Homotopy analysis method is utilized to solve the final ordinary equations which are obtained from similarity transformation. Roles of Hartmann number and nanofluid volume fraction are presented graphically. Results show that temperature augments with rise of nanofluid volume fraction. Impact of nanofluid volume fraction on normal velocity is more than tangential velocity. Temperature gradient enhances with rise of magnetic number.

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Abbreviations

\(B_{0}\) :

Magnetic induction

\(Ha\) :

Hartmann number

\(M\) :

Magnetic number

\(\Pr\) :

Prandtl number

\(T\) :

Fluid temperature

\(v,\,u\) :

Vertical and horizontal

\(\delta_{el}^{{}}\) :

Electrical conductivity

\(\eta\) :

Similarity independent variable

\(\phi\) :

Volume fraction of nanofluid

\(\sigma\) :

Surface tension

\(\alpha\) :

Thermal diffusivity

\(\mu\) :

Dynamic viscosity

\(s\,\,\,\) :

Solid particles

\(f\) :

Base fluid

\(nf\) :

Nanofluid

\(T\) :

Thermal quantity

\(\infty\) :

For \(\eta \to \infty\)

\(0\) :

At \(\eta \to 0\)

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Authors and Affiliations

  1. Department of Mechanical Engineering, Babol University of Technology, Babol, Iran

    M. Sheikholeslami

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

    D. D. Ganji

Authors
  1. M. Sheikholeslami
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  2. D. D. Ganji
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Correspondence to D. D. Ganji.

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Sheikholeslami, M., Ganji, D.D. Analytical investigation for Lorentz forces effect on nanofluid Marangoni boundary layer hydrothermal behavior using HAM. Indian J Phys 91, 1581–1587 (2017). https://doi.org/10.1007/s12648-017-1054-7

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  • DOI: https://doi.org/10.1007/s12648-017-1054-7

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