Wave propagation and reflection in liquid filled distensible tube systems exhibiting dissipation and dispersion
In a previous paper [the authors, \textit{S. E. Greenwald} and \textit{D. L. Newman}, ibid. 54, 107-119 (1984)] the present authors developed a model describing wave propagation in liquid filled distensible tubes and tested it against impulse experiments involving water filled latex rubber tubes. This model incorporates both dissipative and dispersive mechanism which are absent from the commonly employed linear long wavelength theory of haemodynamics. This higher order theory is here employed to study propagation of an impulse in a semi infinite tube, reflection of an impulse from the distal end of a finite length tube, and reflection and transmission of impulses impinging on a junction connecting dissimilar liquid filled tubes. Both open and closed type reflections are treated and numerical results presented graphically. To the best of our knowledge this is the first time that such a higher order theory has been employed to treat reflection and transmission of waves in tube systems.
linear long wavelength theory of haemodynamics
scientific article; zbMATH DE number 3978641