UNSPECIFIED. (2003) Pressure wave propagation in fluid-filled co-axial elastic tubes part 1: Basic theory. JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 125 (6). pp. 852-856. ISSN 0148-0731

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Abstract

Our work is motivated by ideas about the pathogenesis of syringomyelia. This is a serious disease characterized by the appearance of longitudinal cavities within the spinal cord. Its causes are unknown, but pressure propagation is probably implicated. We have developed an inviscid theory for the propagation of pressure waves in co-axial, fluid-filled, elastic tubes. This is intended as a simple model of the,intraspinal cerebrospinal-fluid system. Our approach is based on the classic theory for the propagation of longitudinal waves in single, fluid-filled, elastic tubes. We show that for small-amplitude waves the governing equations reduce to the classic wave equation. The wave speed is found to be a strong function of the ratio of the tubes' cross-sectional areas. It is found that the leading edge of a transmural pressure pulse tends to generate compressive waves with converging wave fronts. Consequently, the leading edge of the presure pulse steepens to form a shock-like elastic jump. A weakly nonlinear theory is developed for such an elastic jump.

Item Type:	Journal Article
Subjects:	Q Science > QH Natural history > QH301 Biology R Medicine
Journal or Publication Title:	JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME
Publisher:	ASME-AMER SOC MECHANICAL ENG
ISSN:	0148-0731
Date:	December 2003
Volume:	125
Number:	6
Number of Pages:	5
Page Range:	pp. 852-856
Identification Number:	10.1115/1.1634280
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/8830

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