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Nanofluid flow and forced convection heat transfer over a stretching surface considering heat source

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Abstract

In this paper, magnetic field effects on the forced convection flow of a nanofluid over a stretching surface in the presence of heat generation/absorption are studied. The equations of continuity, momentum and energy are transformed into ordinary differential equations and solved numerically using the fourth-order Runge-Kutta integration scheme featuring the shooting technique. Different types of nanoparticles as copper (Cu), silver (Ag), alumina (Al2O3) and titania (TiO2) with water as their base fluid has been considered. The influence of significant parameters, such as magnetic parameter, volume fraction of the nanoparticles, heat generation/absorption parameter, velocity ratio parameter and temperature index parameter on the flow and heat transfer characteristics are discussed. The results show that the values of temperature profiles increase with increasing heat generation/absorption and volume fraction of the nanoparticles but they decrease with increasing velocity ratio parameter and temperature index parameter. Also, it can be found that selecting silver as nanoparticle leads to the highest heat transfer enhancement.

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Abbreviations

A 1, A 2, A 3 :

Constants parameters

a :

Stretching sheet parameter

b :

Free stream velocity parameter

C f :

Skin friction coefficient

f :

Dimensionless stream function

k :

Thermal conductivity

M :

Magnetic parameter

Nu :

Nusselt number

Pr :

Prandtl number

q w :

Surface heat flux

Q 0 :

Dimensional heat generation or absorption coefficient

Re x :

Local Reynolds number

T :

Fluid temperature

T ∞ :

Ambient temperature

(u, v):

Velocity components in the (x, y) directions, respectively

(x, y):

Cartesian coordinates along x, y axes, respectively

α :

Thermal diffusivity

η :

Similarity parameter

θ :

Similarity function for temperature

ρ :

Density

ϕ :

nanoparticle volume fraction

μ :

Dynamic viscosity

ν :

Kinematic viscosity

τ w :

Wall shear stress

ψ :

Stream function

λ :

Velocity ratio parameter

w :

Condition at the surface

∞:

Condition at infinity

nf:

Nanofluid

f :

Base fluid

s :

Nano-solid-particles

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Authors and Affiliations

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

    M. Mohammadpour & M. Shambooli

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

    P. Valipour

  3. Department of Mechanical Engineering, Khaje Nasir Toosi University of Technology, Tehran, Iran

    M. Ayani

  4. Department of Mechanical Engineering, University of Yazd, Yazd, Iran

    M. Mirparizi

Authors
  1. M. Mohammadpour
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  2. P. Valipour
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  3. M. Shambooli
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  4. M. Ayani
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Correspondence to P. Valipour.

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Mohammadpour, M., Valipour, P., Shambooli, M. et al. Nanofluid flow and forced convection heat transfer over a stretching surface considering heat source. Eur. Phys. J. Plus 130, 155 (2015). https://doi.org/10.1140/epjp/i2015-15155-8

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  • DOI: https://doi.org/10.1140/epjp/i2015-15155-8

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