Time Domain Modelling of Sound Propagation in Porous Media and the Role of Shape Factors

2010 ◽  
Vol 96 (2) ◽  
pp. 225-238 ◽  
Author(s):  
Diego Turo ◽  
Olga Umnova
2005 ◽  
Vol 118 (3) ◽  
pp. 1866-1866
Author(s):  
D. Keith Wilson ◽  
Vladimir E. Ostashev ◽  
Sandra L. Collier ◽  
David H. Marlin ◽  
David F. Aldridge ◽  
...  

2004 ◽  
Vol 116 (4) ◽  
pp. 1889-1892 ◽  
Author(s):  
D. Keith Wilson ◽  
Vladimir E. Ostashev ◽  
Sandra L. Collier

2004 ◽  
Vol 115 (5) ◽  
pp. 2624-2624
Author(s):  
Vladimir E. Ostashev ◽  
D. Keith Wilson ◽  
Sandra L. Collier

2007 ◽  
Vol 68 (2) ◽  
pp. 157 ◽  
Author(s):  
Timothy Van Renterghem

2005 ◽  
Vol 8 (3) ◽  
pp. 281-297 ◽  
Author(s):  
B. Markicevic ◽  
D. Litchfield ◽  
D. Heider ◽  
Suresh G. Advani

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 768-773 ◽  
Author(s):  
Yusuf Ozyoruk ◽  
Lyle N. Long

Author(s):  
Swayamdipta Bhaduri ◽  
Pankaj Sahu ◽  
Siddhartha Das ◽  
Aloke Kumar ◽  
Sushanta K. Mitra

The phenomenon of capillary imbibition through porous media is important both due to its applications in several disciplines as well as the involved fundamental flow physics in micro-nanoscales. In the present study, where a simple paper strip plays the role of a porous medium, we observe an extremely interesting and non-intuitive wicking or imbibition dynamics, through which we can separate water and dye particles by allowing the paper strip to come in contact with a dye solution. This result is extremely significant in the context of understanding paper-based microfluidics, and the manner in which the fundamental understanding of the capillary imbibition phenomenon in a porous medium can be used to devise a paper-based microfluidic separator.


2021 ◽  
Vol 11 (8) ◽  
pp. 3421
Author(s):  
Cheng-Yu Ku ◽  
Li-Dan Hong ◽  
Chih-Yu Liu ◽  
Jing-En Xiao ◽  
Wei-Po Huang

In this study, we developed a novel boundary-type meshless approach for dealing with two-dimensional transient flows in heterogeneous layered porous media. The novelty of the proposed method is that we derived the Trefftz space–time basis function for the two-dimensional diffusion equation in layered porous media in the space–time domain. The continuity conditions at the interface of the subdomains were satisfied in terms of the domain decomposition method. Numerical solutions were approximated based on the superposition principle utilizing the space–time basis functions of the governing equation. Using the space–time collocation scheme, the numerical solutions of the problem were solved with boundary and initial data assigned on the space–time boundaries, which combined spatial and temporal discretizations in the space–time manifold. Accordingly, the transient flows through the heterogeneous layered porous media in the space–time domain could be solved without using a time-marching scheme. Numerical examples and a convergence analysis were carried out to validate the accuracy and the stability of the method. The results illustrate that an excellent agreement with the analytical solution was obtained. Additionally, the proposed method was relatively simple because we only needed to deal with the boundary data, even for the problems in the heterogeneous layered porous media. Finally, when compared with the conventional time-marching scheme, highly accurate solutions were obtained and the error accumulation from the time-marching scheme was avoided.


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