Structure and dynamics of the slow pressure wave in a porous medium saturated with a liquid containing gas bubbles

1994 ◽  
Vol 35 (1) ◽  
pp. 97-99 ◽  
Author(s):  
V. E. Dontsov ◽  
V. A. Maslov
Keyword(s):  
Porous Medium ◽  
Pressure Wave ◽  
Gas Bubbles ◽  
Structure And Dynamics

Nonlinear Wave Equations for Pressure Wave Propagation in Liquids Containing Gas Bubbles

2011 ◽  
Vol 6 (6) ◽  
pp. 838-850 ◽  
Author(s):  
Tetsuya KANAGAWA ◽  
Masao WATANABE ◽  
Takeru YANO ◽  
Shigeo FUJIKAWA
Keyword(s):  
Wave Propagation ◽  
Nonlinear Wave ◽  
Pressure Wave ◽  
Wave Equations ◽  
Gas Bubbles ◽  
Nonlinear Wave Equations

scholarly journals A Macroscopic Analytical Model for Pressure Wave Propagation in the Water of a Variably Saturated Porous Medium

2019 ◽  
Vol 18 (1) ◽  
pp. 190067
Author(s):  
Doron Kalisman ◽  
Shaul Sorek ◽  
Alexander Yakirevich ◽  
Tamir Kamai
Keyword(s):  
Porous Medium ◽  
Wave Propagation ◽  
Analytical Model ◽  
Pressure Wave ◽  
Saturated Porous Medium

Cycle-Averaged Approximation of Heat Transfer Associated With Rayleigh-Plesset Gas Bubble Dynamics

2015 ◽  
Author(s):  
Kyle P. Schmitt ◽  
Abby M. Pellman ◽  
John C. Minichiello
Keyword(s):  
Pressure Wave ◽  
Bubble Dynamics ◽  
Spatial Scales ◽  
Mechanical Energy ◽  
Gas Bubbles ◽  
Governing Equations ◽  
Dissipative Effects ◽  
Complete Set ◽  
Temporal And Spatial ◽  
Bubble Oscillations

The presence of entrained gas bubbles in a bubbly media leads to both dispersive and dissipative effects on a pressure wave traveling through the system. The complete set of equations used to model this process involves the combination of macroscopic pressure propagation and Rayleigh-Plesset oscillations of individual gas bubbles. This results in disparate temporal and spatial scales that are difficult to solve numerically inside of a CFD framework. This paper presents a simplification to the set of governing equations that specifically eliminates the need to model individual bubble oscillations by using a cycle-averaged approximation. Results generated with the simplified model are verified against equivalent results considering the full set of governing equations. The approximation is shown to capture the behavior of interest — e.g., the variation in gas phase volume that alters the bulk modulus of the bubbly media or the net transfer of mechanical energy to heat — without the additional effort required to model rapid dynamics that do not contribute substantially to the pressure wave decay.

scholarly journals Pressure wave propagation in a partially water‐saturated porous medium

1989 ◽  
Vol 66 (9) ◽  
pp. 4522-4524 ◽  
Author(s):  
R. W. J. M. Sniekers ◽  
D. M. J. Smeulders ◽  
M. E. H. van Dongen ◽  
H. van der Kogel
Keyword(s):  
Porous Medium ◽  
Wave Propagation ◽  
Pressure Wave ◽  
Saturated Porous Medium ◽  
Water Saturated
Sign in / Sign up

Export Citation Format

Share Document