The flow through a compliant-walled channel or tube is analogous to human systems, such as blood vessels (Holt, 1969), the trachea during forced expiration (Elad and Kamm, 1989), and, with some limitations, the glottis (Conrad, 1980). Typical studies involving collapsible channels have used a rigid channel with a longitudinal section of the channel wall replaced with a deformable structure, such as a membrane. Numerical and analytical studies of the flow and accompanying wall deformation have used 1-dimensional or lumped-parameter models (e.g., Shapiro, 1977; Cancelli and Pedley, 1985) as well as detailed flow and structural models using the finite element method (e.g., Rast, 1994; Luo and Pedley, 1995, 1996; Shim and Kamm, 2002; Cai and Luo, 2003).

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