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Oblique stagnation slip flow of a micropolar fluid

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Abstract

This paper considers the problem of steady two-dimensional boundary layer flow of a micropolar fluid near an oblique stagnation point on a fixed surface with Navier’s slip condition. It is shown that the governing nonlinear partial differential equations admit similarity solutions. The resulting nonlinear ordinary differential equations are solved numerically using the Keller box method for some values of the governing parameters. It is found that the flow characteristics depend strongly on the micropolar and slip parameters.

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Abbreviations

a :

Strength of the irrotational stagnation-point flow

A :

Constant in (19) and (23)

A t :

Slip constant

b :

Strain rate of the uniform shear flow

C1,C2:

Constants of integration

K :

Micropolar material parameter

l :

Characteristic length

n :

Ratio of the microrotation vector component and the fluid skin friction at the wall (or wall shear stress)

N :

Component of the microrotation vector normal to x–y plane

p :

Pressure

U 0 :

Characteristic velocity

u,v:

Velocity components along x- and y-axes

x s :

Point of zero wall shear stress

x,y:

Cartesian coordinates along the plate and normal to it, respectively

α :

Shear flow parameter

γ :

Velocity slip factor

κ :

Vortex viscosity

μ :

Dynamic viscosity

ρ :

Density

υ :

Kinematic viscosity

ψ :

Stream function

τ :

Wall shear stress

–:

Dimensional variables

e :

Far field condition

w :

Wall condition

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Authors and Affiliations

  1. Faculty of Manufacturing Engineering, Universiti Teknikal Malaysia Melaka, 76109, Durian Tunggal, Melaka, Malaysia

    Y. Y. Lok

  2. Faculty of Mathematics, University of Cluj, CP 253, 3400, Cluj, Romania

    I. Pop

  3. Centre for Computational Fluid Dynamics, University of Leeds, Leeds, LS2 9JT, UK

    D. B. Ingham

Authors
  1. Y. Y. Lok
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  2. I. Pop
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  3. D. B. Ingham
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Corresponding author

Correspondence to I. Pop.

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Lok, Y.Y., Pop, I. & Ingham, D.B. Oblique stagnation slip flow of a micropolar fluid. Meccanica 45, 187–198 (2010). https://doi.org/10.1007/s11012-009-9236-9

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  • DOI: https://doi.org/10.1007/s11012-009-9236-9

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