Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field

The potential of microbubbles in biomedical applications such as drug and gene delivery may redraw the boundaries of the biomedical field thus inspiring numerous studies on the dynamics of microbubbles. This study will investigate the dynamical behaviour of a small cluster of microbubbles subjected...

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Main Authors:	Fatimah, Dzaharudin, Ummu Kulthum, Jamaludin, Mohd Nazri, Kasuan
Format:	Conference or Workshop Item
Published:	2016
Subjects:	TJ Mechanical engineering and machinery
Online Access:	http://umpir.ump.edu.my/id/eprint/16473/

id	ump-16473
recordtype	eprints
spelling	ump-164732018-11-30T01:54:16Z http://umpir.ump.edu.my/id/eprint/16473/ Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field Fatimah, Dzaharudin Ummu Kulthum, Jamaludin Mohd Nazri, Kasuan TJ Mechanical engineering and machinery The potential of microbubbles in biomedical applications such as drug and gene delivery may redraw the boundaries of the biomedical field thus inspiring numerous studies on the dynamics of microbubbles. This study will investigate the dynamical behaviour of a small cluster of microbubbles subjected to ultrasound near a solid boundary in order to elucidate the effects of microbubble oscillation near endothelial cells in real clinical scenarios. A mathematical model that governs the radial oscillation for bubbles near a plane rigid wall is derived using method of images and solved numerically for a given set of ultrasound parameters. In this paper, it is assumed that all bubbles in the system have the same equilibrium radius and are equidistant from one another and from the solid boundary. With the current mathematical model, it is demonstrated that the presence of a solid wall has a significant effect on the bifurcation structure and the route to chaos of the bubble system. As separation distance between microbubbles and solid boundary is decreased, the chaotic regions shift to occur at different ultrasound frequencies. Furthermore, the chaotic behaviour of the microbubbles influences the amplitude oscillation associated with the bubble response. 2016 Conference or Workshop Item PeerReviewed Fatimah, Dzaharudin and Ummu Kulthum, Jamaludin and Mohd Nazri, Kasuan (2016) Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field. In: 4th International Conference on Mathematical Sciences, 15-17 November 2016 , Putrajaya, Malaysia. . (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
topic	TJ Mechanical engineering and machinery
spellingShingle	TJ Mechanical engineering and machinery Fatimah, Dzaharudin Ummu Kulthum, Jamaludin Mohd Nazri, Kasuan Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field
description	The potential of microbubbles in biomedical applications such as drug and gene delivery may redraw the boundaries of the biomedical field thus inspiring numerous studies on the dynamics of microbubbles. This study will investigate the dynamical behaviour of a small cluster of microbubbles subjected to ultrasound near a solid boundary in order to elucidate the effects of microbubble oscillation near endothelial cells in real clinical scenarios. A mathematical model that governs the radial oscillation for bubbles near a plane rigid wall is derived using method of images and solved numerically for a given set of ultrasound parameters. In this paper, it is assumed that all bubbles in the system have the same equilibrium radius and are equidistant from one another and from the solid boundary. With the current mathematical model, it is demonstrated that the presence of a solid wall has a significant effect on the bifurcation structure and the route to chaos of the bubble system. As separation distance between microbubbles and solid boundary is decreased, the chaotic regions shift to occur at different ultrasound frequencies. Furthermore, the chaotic behaviour of the microbubbles influences the amplitude oscillation associated with the bubble response.
format	Conference or Workshop Item
author	Fatimah, Dzaharudin Ummu Kulthum, Jamaludin Mohd Nazri, Kasuan
author_facet	Fatimah, Dzaharudin Ummu Kulthum, Jamaludin Mohd Nazri, Kasuan
author_sort	Fatimah, Dzaharudin
title	Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field
title_short	Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field
title_full	Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field
title_fullStr	Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field
title_full_unstemmed	Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field
title_sort	numerical study on the effects of a boundary on the chaotic behavior of a small cluster of microbubbles in an ultrasonic field
publishDate	2016
url	http://umpir.ump.edu.my/id/eprint/16473/
first_indexed	2023-09-18T22:22:11Z
last_indexed	2023-09-18T22:22:11Z
_version_	1777415730232295424

Numerical Study on the Effects of a Boundary on the Chaotic Behavior of a Small Cluster of Microbubbles in an Ultrasonic Field

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