scholarly journals Hybrid BEM for the early stage of a 3D unsteady heat diffusion process

Author(s):  
A. Peratta ◽  
V. Popov
1993 ◽  
Author(s):  
Eugene M. Kudriavtsev ◽  
Yu. I. Rybalko ◽  
Sergey D. Zotov ◽  
Michel L. Autric ◽  
Georges Inglesakis

1980 ◽  
Vol 102 (2) ◽  
pp. 312-318 ◽  
Author(s):  
Adnan H. Nayfeh

Two model analyses are constructed in order to determine the influence of bonding materials on the heat diffusion in otherwise bilaminated composites. The geometric arrangement of the composite with the bond is treated as a special type of trilaminated composite in which each of its major constituents is sandwiched between two bonding layers. In the first model, the recently developed continuum mixture theories of heat conduction in bilaminated composites [1] are extended to treat the trilaminated composite. Here details of the diffusion process in the major components and also in the bonding layers are derived. In the second model, the entire effect of the bonds is treated as a modifier to interfacial continuity conditions. In this model the details of the diffusion process in the bonding material are ignored. It is found that the results of both models correlate well with each others and also with some exact solutions especially for low frequency ranges.


2010 ◽  
Vol 59 (12) ◽  
pp. 754-759 ◽  
Author(s):  
Yury Orlov ◽  
Alessandro Pisano ◽  
Elio Usai

2004 ◽  
Vol 449-452 ◽  
pp. 889-892
Author(s):  
H.K. Lee ◽  
Chung Yun Kang ◽  
C.S. Woo ◽  
S.H. Kim ◽  
Dae Up Kim

Microstructures of 0.18wt% nitrogen-contained duplex stainless steel, SUS329J3L brazed in a vacuum furnace of 10-4torr, have been investigated as a function of bonding temperatures (1453-1523K) and holding times (0-1.8ks). An amorphous alloy, MBF50 (Ni-19.5wt%Cr-7.3wt%Si -1.5wt%B), was used as an insert metal. At an early stage at 1453K and 1473k, a morphology change of the insert metal, BN and CrB phase appeared only at the joints. The BN and Cr-Si-N phase were observed at the interface of the joints brazed under other conditions. The volume fraction of BN increased rapidly at an early stage and decreased with increasing holding time. The phase seemed to have been formed by dissolution of the base metal and the diffusion process. BN was formed easily due to the lowest Gibbs free energy. Boron content in liquid insert metal becomes low due to the formation of a large number of BNs at the bonded interlayer by holding for a few minutes at brazing temperature. This caused the rapid isothermal solidification of the liquid insert metal. Thus, it is clear that the isothermal solidification process of this bonding is controlled by the formation of boron nitrides as opposed to the diffusion process of depressant elements(B and Si) in the base metal.


2020 ◽  
Vol 8 (3) ◽  
Author(s):  
Furqan Aziz ◽  
Edwin R Hancock ◽  
Richard C Wilson

Abstract In this article, we present a novel approach to analyse the structure of complex networks represented by a quantum graph. A quantum graph is a metric graph with a differential operator (including the edge-based Laplacian) acting on functions defined on the edges of the graph. Every edge of the graph has a length interval assigned to it. The structural information contents are measured using graph entropy which has been proved useful to analyse and compare the structure of complex networks. Our definition of graph entropy is based on local edge functionals. These edge functionals are obtained by a diffusion process defined using the edge-based Laplacian of the graph using the quantum graph representation. We first present the general framework to define graph entropy using heat diffusion process and discuss some of its properties for different types of network models. Second, we propose a novel signature to gauge the structural complexity of the network and apply the proposed method to different datasets.


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