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Numerical investigation of MHD water-based nanofluids flow in porous medium caused by shrinking permeable sheet

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Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

An Erratum to this article was published on 25 July 2016

Abstract

In this work, a numerical method is applied to investigate the magnetohydrodynamic flow and heat transfer of several nanofluids caused by a shrinking sheet in a porous medium. The influences of several parameters such as nanoparticle volume fraction, suction parameter, and the Hartmann number on the heat transfer rate, velocity, and temperature profiles and also skin friction are presented and studied. In addition, it is observed that by increasing the nanoparticle volume fraction, the temperature profile, skin friction, and Nusselt number increase, while the velocity profile has not changed remarkably.

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Abbreviations

u :

Velocity component along the x direction

v :

Velocity component along the y direction

w :

Velocity component along the z direction

k f :

Thermal conductivity of the base fluid

k s :

Thermal conductivity of the nanoparticle

k nf :

Thermal conductivity of the nanofluid

M :

Hartman number

S :

Suction/blowing parameter

Pr :

Prandtl number

C f :

Skin friction coefficient

Nu x :

Local Nusselt number

U :

Free stream velocity

q w :

Heat transfer from the surface

Re x :

Local Reynolds number

T w :

Wall temperature

T ∞ :

Far field stream temperature

τ w :

Wall shear stress

λ 1 :

Constant from power law

ρ f :

Density of the base fluid

ρ nf :

Density of the nanofluid

μ f :

Viscosity of the base fluid

μ nf :

Viscosity of the nanofluid

\( \phi \) :

Nanoparticle volume fraction

λ :

Porosity

f:

Base fluid

s:

Nanoparticle

nf:

Nanofluid

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Authors and Affiliations

  1. Department of Textile and Apparel, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

    P. Valipour

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

    S. E. Ghasemi

Authors
  1. P. Valipour
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  2. S. E. Ghasemi
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Correspondence to S. E. Ghasemi.

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Technical Editor: Francisco Ricardo Cunha.

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Valipour, P., Ghasemi, S.E. Numerical investigation of MHD water-based nanofluids flow in porous medium caused by shrinking permeable sheet. J Braz. Soc. Mech. Sci. Eng. 38, 859–868 (2016). https://doi.org/10.1007/s40430-014-0303-3

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  • DOI: https://doi.org/10.1007/s40430-014-0303-3

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