Theory of Arterial Circulation
Abstract
The report is a unification and elucidation of theories of arterial circulation and is based, particularly, on Womersley's extensive work: 'An Elastic Tube Theory of Pulse Transmission and Oscillatory Flow in Mammalian Arteries.' In an analytical description of the arterial circulation, the concept of a thin-walled elastic tube filled with a viscous fluid as a rough working model of an artery is used. The representative equations are linearized and periodic solutions are obtained for various flow parameters that can be tested experimentally. The main topic is the mode of pulse-wave transmission, and the relationships between pulse pressure, rate of flow and radial expansion in the artery. Moreover, the significance of a salient non-dimensional parameter which is a function of the frequency, the kinematic viscosity of the fluid and the internal radius of the tube is stressed throughout in characterizing the motion of the fluid. Some comparisons with experimental results are made, and new experiments are proposed, as tests of the adequacy of the theory.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1972
- Accession Number
- AD0740573
Entities
People
- Mehdi Shirazi
Organizations
- University of Dayton