scholarly journals Size distribution of free particles in soils: a geometric modelling approach

2021 ◽  
Author(s):  
Jinfeng Bi ◽  
Haitao Zhang ◽  
Xianqi Luo ◽  
Hui Shen ◽  
Zhuomin Li
Keyword(s):  
Size Distribution ◽  
Geometric Modelling ◽  
Free Particles ◽  
Modelling Approach

A new geometric modelling approach for 3D braided tubular composites base on Free Form Deformation

2016 ◽  
Vol 136 ◽  
pp. 75-85 ◽  
Author(s):  
Yi-bo Wang ◽  
Zhen-guo Liu ◽  
Nian Liu ◽  
Long Hu ◽  
Yu-chen Wei ◽  
...  
Keyword(s):  
Geometric Modelling ◽  
Free Form ◽  
Free Form Deformation ◽  
Modelling Approach

Pressure Wave Propagation in a Bubbly Medium: A Multiscale Modelling Approach

2014 ◽  
Author(s):  
Anil Kapahi ◽  
Chao-Tsung Hsiao ◽  
Georges L. Chahine
Keyword(s):  
Wave Propagation ◽  
Size Distribution ◽  
Void Fraction ◽  
Bubble Size ◽  
Pressure Wave ◽  
Bubble Size Distribution ◽  
Pressure Amplitude ◽  
Bubbly Medium ◽  
Different Levels ◽  
Modelling Approach

This work uses a compressible Eulerian multi-material solver with three modeling approaches to examine shock and pressure wave propagation in a bubbly medium. These approaches represent different levels of complexity from fully resolving the dispersed bubbles to treating the bubbly medium as a homogeneous mixture. An intermediate approach is based on treating bubbles as discrete singularities. Propagation of the pressure wave through the bubbly medium is compared between the simplified approaches and the fully resolved bubble simulation. Different scenarios demonstrating the effect of pressure amplitude, void fraction, and bubble size distribution are presented to further understand wave propagation in bubbly media.

The extinction time of a general birth and death process with catastrophes

1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell
Keyword(s):  
Laplace Transform ◽  
Size Distribution ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Death Process ◽  
Extinction Time ◽  
Birth And Death Process ◽  
Different Types ◽  
The Laplace Transform ◽  
Necessary And Sufficient

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.

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