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Flow and heat transfer of nanofluids over stretching sheet taking into account partial slip and thermal convective boundary conditions

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Abstract

The effect of flow slip on the nanofluid boundary layer over a stretching surface is studied. The present results provide a basic understanding on the effects of the slip boundary condition on heat and mass transfer of nanofluids past stretching sheets subject to a convective boundary condition from below. The results show that an increase of thermophoresis parameter or slip factor would decrease the reduced Nusselt number in some cases.

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Abbreviations

(ρc) f :

Heat capacity of the fluid

(ρc) p :

Effective heat capacity of the nanoparticle material

Bi :

Biot number

c :

Constant

D B :

Brownian diffusion coefficient

D T :

Thermophoretic diffusion coefficient

h f :

Heat transfer coefficient of convective heat transfer

k :

Thermal conductivity

Le :

Lewis number

N :

Slip constant

Nb :

Brownian motion parameter

Nt :

Thermophoresis parameter

Nu :

Nusselt number

p :

Pressure

Pr :

Prandtl number

q m :

Wall mass flux

q w :

Wall heat flux

Re x :

Local Reynolds number

Sh x :

Local Sherwood number

T :

Fluid temperature

T ∞ :

Ambient temperature

T f :

Temperature of the hot fluid

T w :

Temperature at the stretching sheet

u,v :

Velocity components along x and y axes

u w :

Velocity of the stretching sheet

x,y :

Cartesian coordinates (x axis is aligned along the stretching surface and y axis is normal to it)

α :

Thermal diffusivity

β :

Dimensionless nanoparticle volume fraction

η :

Similarity variable

θ :

Dimensionless temperature

λ:

Dimensionless slip factor

ρ f :

Fluid density

ρ p :

Nanoparticle mass density

τ :

Parameter defined by ratio between the effective heat capacity of the nanoparticle material and heat capacity of the fluid

ø :

Nanoparticle volume fraction

ø ∞ :

Ambient nanoparticle volume fraction

ø w :

Nanoparticle volume fraction at the stretching sheet

ψ :

Stream function

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Acknowledgments

The authors are grateful to Shahid Chamran University of Ahvaz for its crucial support.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran

    A. Noghrehabadi, R. Pourrajab & M. Ghalambaz

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  1. A. Noghrehabadi
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Correspondence to A. Noghrehabadi.

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Noghrehabadi, A., Pourrajab, R. & Ghalambaz, M. Flow and heat transfer of nanofluids over stretching sheet taking into account partial slip and thermal convective boundary conditions. Heat Mass Transfer 49, 1357–1366 (2013). https://doi.org/10.1007/s00231-013-1179-y

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