Dynamics of the delay-coupled bubble system combined with the stochastic term

2021 ◽  
Vol 148 ◽  
pp. 111053
Author(s):  
Qiubao Wang ◽  
Zikun Han ◽  
Xing Zhang ◽  
Yuejuan Yang
Keyword(s):  
Bubble System ◽  
Stochastic Term

scholarly journals An experimental study of the dynamics of ascent of the bubble system in the presence of a surfactant

2018 ◽  
Vol 194 ◽  
pp. 01002
Author(s):  
Alexandra Antonnikova ◽  
Sergey Basalaev ◽  
Anna Usanina ◽  
Eugene Maslov
Keyword(s):  
Experimental Study ◽  
Reynolds Numbers ◽  
Experimental Setup ◽  
Bubble Cluster ◽  
Bubble System ◽  
Wide Range ◽  
Compact Cluster ◽  
Glycerol Medium

This paper presents investigations on the new experimental setup for obtaining a compact cluster of monodisperse bubbles of a given diameter is presented. Also we provided the results of experimental study of the bubble cluster floating-up in the presence of a surfactant in a wide range of Reynolds numbers. There was held a comparison of the dynamics of the floating-up of a monodisperse bubble cluster in a glycerol medium and in the medium glycerin supplemented with a surfactant.

On the boundary integral method for the rebounding bubble

2007 ◽  
Vol 570 ◽  
pp. 407-429 ◽  
Author(s):  
M. LEE ◽  
E. KLASEBOER ◽  
B. C. KHOO
Keyword(s):  
Energy Loss ◽  
Integral Method ◽  
Bubble Radius ◽  
Experimental Studies ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Bubble Collapse ◽  
Solid Boundary ◽  
Bubble System ◽  
Toroidal Bubble

The formation of a toroidal bubble towards the end of the bubble collapse stage in the neighbourhood of a solid boundary has been successfully studied using the boundary integral method. The further evolution (rebound) of the toroidal bubble is considered with the loss of system energy taken into account. The energy loss is incorporated into a mathematical model by a discontinuous jump in the potential energy at the minimum volume during the short collapse–rebound period accompanying wave emission. This implementation is first tested with the spherically oscillating bubble system using the theoretical Rayleigh–Plesset equation. Excellent agreement with experimental data for the bubble radius evolution up to three oscillation periods is obtained. Secondly, the incorporation of energy loss is tested with the motion of an oscillating bubble system in the neighbourhood of a rigid boundary, in an axisymmetric geometry, using a boundary integral method. Example calculations are presented to demonstrate the possibility of capturing the peculiar entity of a counterjet, which has been reported only in recent experimental studies.

scholarly journals Random Pullback Attractor of a Non-autonomous Local Modified Stochastic Swift-Hohenberg with Multiplicative Noise

2020 ◽  
Author(s):  
Yongjun Li ◽  
Tinggang Zhao ◽  
Hongqing Wu
Keyword(s):  
External Force ◽  
Exponential Growth ◽  
Multiplicative Noise ◽  
Pullback Attractor ◽  
Stochastic Term

In this paper, we study the existence of the random -pullback attractor of a non-autonomous local modified stochastic Swift-Hohenberg equation with multiplicative noise in stratonovich sense. It is shown that a random -pullback attractor exists in when its external force has exponential growth. Due to the stochastic term, the estimate are delicate, we overcome this difficulty by using the Ornstein-Uhlenbeck(O-U) transformation and its properties.

scholarly journals Interpreting the interfacial and colloidal stability of bulk nanobubbles

Soft Matter ◽  
2018 ◽  
Vol 14 (47) ◽  
pp. 9643-9656 ◽  
Author(s):  
N. Nirmalkar ◽  
A. W. Pacek ◽  
M. Barigou
Keyword(s):  
Colloidal Stability ◽  
The Novel ◽  
Bubble System

This paper elucidates parts of the mystery behind the interfacial and colloidal stability of the novel bubble system of bulk nanobubbles.

scholarly journals Effects of Shell Encapsulation on the Nonlinear Dynamics of a Microbubble Contrast Agent subjected to Acoustic Energy

2018 ◽  
Vol 225 ◽  
pp. 04015
Author(s):  
Fatimah Dzaharudin ◽  
Najihah Mohd Ali ◽  
Erny Afiza Alias ◽  
Ummu Kulthum Jamaludin
Keyword(s):  
Biomedical Applications ◽  
Equations Of Motion ◽  
Numerical Data ◽  
Acoustic Energy ◽  
Gene Control ◽  
Governing Equations ◽  
Microbubble Contrast Agent ◽  
Bubble System ◽  
Acoustic Signature ◽  
Lower Amplitude

The effects of encapsulating a microbubble on the energy in oscillation and acoustic signature is investigated by solving the governing equations of motion. Numerical data obtained by solving these equations is used to explore the effects of shell on the harmonics of the bubble system. By encapsulating the microbubble with a shell, the bubble will be stiffer resulting in lower amplitude oscillations and an increase in the harmonics of the bubble system upon subjected to acoustic energy. This is desirable in triggering vascular permeability for drug/gene control and release in biomedical applications.

scholarly journals Modeling microbial diversity in anaerobic digestion

2008 ◽  
Vol 57 (2) ◽  
pp. 265-270 ◽  
Author(s):  
I. Ramirez ◽  
J. P. Steyer
Keyword(s):  
Experimental Data ◽  
Anaerobic Digestion ◽  
Microbial Diversity ◽  
Pilot Scale ◽  
Anaerobic Digester ◽  
Structured Model ◽  
Modeling Approach ◽  
Distillery Wastewater ◽  
Stochastic Term ◽  
Near Future

The aim of this study is to develop a modeling approach able to handle microbial diversity both in normal and abnormal situations. Normal situations are defined as changing input characteristics that do not imply process imbalance while abnormal situations are illustrated by the presence of toxicant into the reactor. In both cases, modeling is performed by adding a stochastic term on top of a well defined and well structured model such as the IWA Anaerobic Digestion Model No1. Experimental data from a 1 m3 pilot scale anaerobic digester treating wine distillery wastewater are provided to demonstrate the applicability of this approach. Discussion also highlights that monitoring of digesters might receive a renewed consideration in the near future in order to handle explicitly microbial diversity within the control objectives.

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