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Journal ArticleDOI

Boundary layers in micropolar liquids

A. J. Willson
- Vol. 67, Iss: 02, pp 469-476
TLDR
In this paper, the steady flow of a micropolar liquid near a rigid boundary is considered, and it is shown that while micro-inertia itself is not important, nevertheless, some properties of the microstructure do play a vital role in determining the structure of the boundary layer.
Abstract
Consideration is given to the steady flow of a micropolar liquid near a rigid boundary. It is shown that while micro-inertia itself is not important, nevertheless, some properties of the microstructure do play a vital role in determining the structure of the boundary layer. The Karman—Polhausen method is used to provide an estimate of the shear stress at the boundary, and detailed calculations are given for flow near stagnation. The important significance of the standard length of the micropolar liquid is demonstrated for this flow, as for other flows in this medium.

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Citations
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Journal ArticleDOI

Self-similar solution of imcompressible micropolar boundary layer flow over a semi-infinite plate

TL;DR: In this article, the boundary layer flow over a semi-infinite flat plate is studied and the partial differential equations of motion are reduced to 2 couple differential equations and numerical solutions for different values of the parameters are obtained.
Journal ArticleDOI

Viscous dissipation effect on mixed convection flow of a micropolar fluid over an exponentially stretching sheet

TL;DR: In this article, the contribution of buoyancy along with viscous dissipation on the convective transport in the boundary-layer region is analyzed in opposing and assisting flow situations, and a parametric study of the mixed convection parameter ξ, the micropolar parameter Δ, the Eckert number Ec, the parameter of temperature distribution n, and Prandtl number Pr is conducted.
Journal ArticleDOI

Steady mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface

TL;DR: In this paper, the steady mixed convection boundary-layer flow of a micropolar fluid near the region of the stagnation point on a double-infinite vertical flat plate is studied.
Journal ArticleDOI

Peristaltic motion of micropolar fluid in circular cylindrical tubes : Effect of wall properties

TL;DR: In this article, a finite difference scheme is developed to solve the governing equations of motion resulting from a perturbation technique for small values of amplitude ratio for micropolar fluid in a circular cylindrical flexible tube with viscoelastic or elastic wall properties.
Journal ArticleDOI

Heat Transfer in a Micropolar Fluid over a Stretching Sheet with Newtonian Heating

TL;DR: This article looks at the steady flow of Micropolar fluid over a stretching surface with heat transfer in the presence of Newtonian heating using Runge-Kutta-Fehlberg fourth-fifth order method.
References
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Journal ArticleDOI

Elastico-viscous boundary-layer flows I. Two-dimensional flow near a stagnation point

TL;DR: In this article, the authors extended the boundary-layer theory for an idealized elastico-viscous liquid and showed that the main effect of elasticity is to increase the velocity in the boundary layer and increase the stress on the solid boundary.
Journal ArticleDOI

On an equation occurring in Falkner and Skan's approximate treatment of the equations of the boundary layer

TL;DR: In this paper, it was shown that for the application to be made of the solution the appropriate condition is that y′ → 1 from below, and as rapidly as possible, as x → ∞.
Journal ArticleDOI

The boundary layer on a magnetized plate

TL;DR: In this paper, the magnetohydrodynamic boundary layer in an incompressible viscous electrically conducting flow past a semi-infinite flat plate is studied for the case where a uniform magnetic field in the stream direction is applied at the plate.
Journal ArticleDOI

The Magneto-Hydrodynamic Boundary Layer in the Two-Dimensional Steady Flow Past a Semi-Infinite Flat Plate. I. Uniform Conditions at Infinity

TL;DR: In this article, the authors investigated the effect of the magnetic field on the flow of a viscous, electrically conducting liquid past a fixed, semi-infinite, unmagnetized but conducting flat plate, where the liquid flow U and also the magnetic force H 0 at a distance from the plate are both assumed to be uniform and parallel to the plate.
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