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Flow and heat transfer over an unsteady stretching sheet in a micropolar fluid

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Abstract

The unsteady laminar flow of an incompressible micropolar fluid over a stretching sheet is investigated. The unsteadiness in the flow and temperature fields is caused by the time-dependence of the stretching velocity and the surface temperature. Effects of the unsteadiness parameter, material parameter and Prandtl number on the flow and heat transfer characteristics are thoroughly examined.

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Abbreviations

a, b, c :

constants

f :

dimensionless stream function

h :

dimensionless microrotation

i :

dimensionless microinertia

j :

microinertia

K :

material parameter

m :

boundary parameter

N :

microrotation

Pr:

Prandtl number

S :

unsteadiness parameter

T :

fluid temperature

t :

time

T w :

surface temperature

T ∞ :

ambient temperature

u, v :

velocity components along the x and y directions, respectively

U w :

stretching velocity

x, y :

Cartesian coordinates along the surface and normal to it, respectively

α :

thermal diffusivity

γ :

spin gradient viscosity

η :

similarity variable

θ :

dimensionless temperature

κ :

vortex viscosity

ν:

kinematic viscosity

μ :

dynamic viscosity

ρ :

fluid density

ψ :

stream function

w :

condition at the stretching sheet

∞:

condition at infinity

′:

differentiation with respect to η

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia

    Norfifah Bachok

  2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia

    Anuar Ishak & Roslinda Nazar

Authors
  1. Norfifah Bachok
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  2. Anuar Ishak
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  3. Roslinda Nazar
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Corresponding author

Correspondence to Anuar Ishak.

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Bachok, N., Ishak, A. & Nazar, R. Flow and heat transfer over an unsteady stretching sheet in a micropolar fluid. Meccanica 46, 935–942 (2011). https://doi.org/10.1007/s11012-010-9353-5

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  • DOI: https://doi.org/10.1007/s11012-010-9353-5

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