On the nonlinearities of fluid flow in nonrigid tubes

✍ Scribed by John W. Lambert

• Publisher: Elsevier Science
• Year: 1958
• Tongue: English
• Weight: 821 KB
• Volume: 266
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(58)90346-6

✦ Synopsis

Several discrepancies between linear theory and experimental results are explained by the nonlinear theory. Two simultaneous nonlinear differential equations are considered for the non-steady one-dimensional motion of an ideal fluid in a rotationally symmetric tube. To these must be added an equation of state of the tube expressing the tube radius as a function of the pressure difference. The general solution of these equations for a linearly elastic tube is expressed in an analytic form convenient for computation on a digital computer. A graphic method of solution is also presented and applied to the problem of a large pulse wave in a semi-infinite tube. Data for the problem presented are intended to simulate the problem of a heart pulse wave in the aorta. Exact stress-strain data for the aorta and approximate heart pulse data are used. The effect of the nonlinearities included is found to be significant.