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Two phase modeling of nanofluid flow in existence of melting heat transfer by means of HAM

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Abstract

In this article, Buongiorno Model is applied for investigation of nanofluid flow over a stretching plate in existence of magnetic field. Radiation and Melting heat transfer are taken into account. Homotopy analysis method (HAM) is selected to solve ODEs which are obtained from similarity transformation. Roles of Brownian motion, thermophoretic parameter, Hartmann number, porosity parameter, Melting parameter and Eckert number are presented graphically. Results indicate that nanofluid velocity and concentration enhance with rise of melting parameter. Nusselt number reduces with increase of porosity and melting parameters.

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Abbreviations

\( B_{0} \) :

Magnetic induction

\( Ec \) :

Eckert number

\( Ha \) :

Hartmann number

\( T_{\infty } \) :

Ambient fluid temperature

\( T_{m} \) :

Melting temperature

\( K \) :

Permeability

\( T_{0} \) :

Surface temperature

\( c_{s} \) :

Surface heat capacity

\( \Pr \) :

Prandtl number

\( T \) :

Fluid temperature

\( v,\,u \) :

Vertical and horizontal velocity

\( \sigma \) :

Electrical conductivity

\( \eta \) :

Similarity independent variable

\( \phi \) :

Volume fraction of nanofluid

\( \mu \) :

Dynamic viscosity

\( \alpha \) :

Thermal diffusivity

\( p \) :

Solid particles

\( f \) :

Base fluid

\( nf \) :

Nanofluid

\( \infty \) :

For \( \eta \to \infty \)

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Authors and Affiliations

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

    M. Sheikholeslami

  2. Young Researchers and Elite Club, Islamic Azad University, Hamedan Branch, Hamedan, Iran

    M. Jafaryar

  3. School of Mining Engineering, College of Engineering, University of Tehran, Tehran, 1439957131, Iran

    K. Bateni

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

    D. D. Ganji

Authors
  1. M. Sheikholeslami
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  2. M. Jafaryar
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  3. K. Bateni
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  4. D. D. Ganji
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Correspondence to D. D. Ganji.

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Sheikholeslami, M., Jafaryar, M., Bateni, K. et al. Two phase modeling of nanofluid flow in existence of melting heat transfer by means of HAM. Indian J Phys 92, 205–214 (2018). https://doi.org/10.1007/s12648-017-1090-3

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  • DOI: https://doi.org/10.1007/s12648-017-1090-3

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