Albedo problem in a semi-infinite medium with pure-triplet scattering

The Navier-Stokes equations for the fluid motion induced by a disk rotating inside a cylindrical cavity have been integrated for several values of the boundary layer thickness d. The equivalence of such a device to a rotating disk immersed in an infinite medium has been shown in the limit as d → 0. From that solution and taking into account edge effect corrections an equation for the viscous torque acting on the disk has been derived, which depends only on d. Moreover, these results justify the use of a rotating disk to perform accurate viscosity measurements.

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Formulation of the eigenvalue problem for an infinite medium of planar resistive sheets

10.1109/aps.1987.1149910 ◽

2005 ◽

Cited By ~ 1

Author(s):

R. Hall ◽

F. Gardiol

Keyword(s):

Eigenvalue Problem ◽

Infinite Medium

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AVRAMI–KOLMOGOROV–JOHNSON–MEHL KINETICS FOR NANOPARTICLES

Surface Review and Letters ◽

10.1142/s0218625x08011937 ◽

2008 ◽

Vol 15 (05) ◽

pp. 605-612 ◽

Cited By ~ 2

Author(s):

VLADIMIR P. ZHDANOV

Keyword(s):

Phase Transition ◽

Activation Energy ◽

Monte Carlo ◽

Monte Carlo Simulations ◽

Infinite Medium ◽

Local State ◽

Elementary Reaction ◽

Regular Surface

In the conventional Avrami–Kolmogorov–Johnson–Mehl model, the reaction or phase transition occurring in the 2D or 3D infinite medium is considered to start and proceed around randomly distributed and/or appearing nucleation centers. The radius of the regions transformed is assumed to linearly increase with time. The Monte Carlo simulations presented, illustrate what may happen if the transformation takes place in nanoparticles. The attention is focused on nucleation on the regular surface, edge and corner sites, and on the dependence of the activation energy for elementary reaction events on the local state of the sites.

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Parameters Affecting Thermo-Meohanical Cracking in Coated Media Due to High-Speed Friction Load

Journal of Tribology ◽

10.1115/1.3261589 ◽

1988 ◽

Vol 110 (2) ◽

pp. 222-227 ◽

Cited By ~ 12

Author(s):

F. D. Ju ◽

J. C. Liu

Keyword(s):

Fourier Transform ◽

Temperature Field ◽

Thermal Stress ◽

High Speed ◽

Coating Layer ◽

Infinite Medium ◽

Thermal Stress State ◽

Heating Effect ◽

Coated Surface ◽

Heat Checking

This investigation considers the thermo-mechanical effects of an asperity traversing at a high speed over a semi-infinite medium with a thin, hard coated surface. The general analytical solution of the temperature field and the thermal stress state are obtained and expressed in Fourier transform space. The analysis emphasizes the heating effect of the friction force, which leads to the initiation of the thermo-mechanical cracking or “heat-checking,” in the coating layer, the substrate, or their interface. For hard coated layers, the initiation of a crack will occur either in the coating layer, the substrate or the interface depending on the relative properties of the coating and the substrate and their bonding strength.

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