关键词: left ventricle, end diastolic volume, mechanical periodicity, nonlinear dynamics

Abstract: In this paper, an alternative method has been presented to solve the Orr-Sommerfeld equation in the linear theory of stability. To begin with, we define a Green function which is expressed in terms of matrix. Subsequently, its reciprocity has been shown. Finally, a linear integral equation equivalent to the original Orr-Sommerfeld equation is derived. The method is applied to the cases with two solid walls and any velocity distribution of the main flow at any Reynolds number.

Key words: left ventricle, end diastolic volume, mechanical periodicity, nonlinear dynamics