Pressure wave propagation in fluid-filled co-axial elastic tubes. Part 1: Basic theory.
J Biomech Eng
; 125(6): 852-6, 2003 Dec.
Article
en En
| MEDLINE
| ID: mdl-14986410
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 pressure pulse steepens to form a shock-like elastic jump. A weakly nonlinear theory is developed for such an elastic jump.
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Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Reología
/
Canal Medular
/
Líquido Cefalorraquídeo
/
Modelos Biológicos
/
Movimiento (Física)
Límite:
Animals
/
Humans
Idioma:
En
Revista:
J Biomech Eng
Año:
2003
Tipo del documento:
Article
Pais de publicación:
Estados Unidos