Inner-outer expansion method for couple-stress effects

This paper presents a numerical investigation of lubricating slider bearings with conducting couple stress fluids using externally applied magnetics fields. The modified two-dimensional magnetohydrodynamic couple stress Reynolds-type equation is obtained. This governing equation is resolved numerically by using finite diﬀerence scheme, which involves the Gauss–Seidel method to compute the bearing characteristics. Numerical results using different considered values of the couple stress and Hartman number are presented. These results demonstrate that the transverse magnetic field and couple stress effects are significant.

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Diffraction of Elastic Waves by a Cylindrical Nanohole

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.526.145 ◽

2014 ◽

Vol 526 ◽

pp. 145-149 ◽

Cited By ~ 1

Author(s):

Li Wang ◽

Pei Jun Wei ◽

Xi Qiang Liu ◽

Gui Zhang

Keyword(s):

Plane Wave ◽

Cross Section ◽

Elastic Waves ◽

Surface Stress ◽

Scattering Amplitude ◽

Expansion Method ◽

Plane Wave Expansion ◽

Plane Wave Expansion Method ◽

Stress Effects ◽

Diffraction Of Elastic Waves

Diffraction of in-plane wave and out-plane wave by a cylindrical nanohole is investigated. The surface elastic theory is used to consider the surface stress effects and to derive the boundary condition on the surface of the nanohole. The plane wave expansion method is applied to obtain the scattering waves. The scattering cross section and far-field scattering amplitude are numerically evaluated. The influences of surface stress are discussed based on the numerical results.

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Inertia and Couple-Stress Effects in a Curvilinear Thrust Hydrostatic Bearing

International Journal of Applied Mechanics and Engineering ◽

10.1515/ijame-2017-0048 ◽

2017 ◽

Vol 22 (3) ◽

pp. 759-767 ◽

Cited By ~ 1

Author(s):

A. Walicka ◽

P. Jurczak ◽

J. Falicki

Keyword(s):

Couple Stress ◽

Equations Of Motion ◽

Inertia Effects ◽

Numerical Examples ◽

Thrust Bearings ◽

Hydrostatic Bearing ◽

Stress Effects ◽

Pressure Distributions ◽

Radial Thrust ◽

Inertia Forces

AbstractThe flow of a couple-stress lubricant in a clearance of a curvilinear thrust hydrostatic bearing with impermeable walls is considered. The flow in the bearing clearance is considered with inertia forces. The equations of motion are solved by an averaged inertia method. As a result, the formulae for pressure distributions without and with inertia effects were obtained. Radial thrust bearings and spherical bearings are discussed as numerical examples. It is shown that inertia effects influence the bearing performance considerably.

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