The Convective and Absolute Instability of Fluid Flow Over Viscoelastic Compliant Layers

Passive movement of human soft palate during respiration: A simulation of 3D fluid/structure interaction

“…In the past few decades, flow over compliant surfaces has been extensively investigated in terms of various factors such as different types of compliant surfaces Garrad, 1985, 1986;Yeo, 1988;Yeo et al, 1999) and different flow regimes (Gad-El-Hak et al, 1984;Lucey and Carpenter, 1992;Yeo and Dowling, 1987). In the current study, no obvious flowinduced shear wave along the surface of the soft palate was found in model II.…”

Suppression of absolute instabilities in the flow inside a compliant tube

“…The existence of an absolute instability over a compliant flat-plate in laminar flow has been demonstrated analytically by Yeo et al [20,22]. In these studies, Blasius boundary layer is used as a base flow.…”

“…In these studies, Blasius boundary layer is used as a base flow. As it is known that a Blasius boundary layer developing over a rigid wall is subjected only to convective instability, it has been understood that the absolute nature of the instability found by Yeo et al [22] is due to the interaction between the flow and the compliant wall. Later, Yeo et al [24] have shown that the slow waves, termed static-divergence waves, observed when a turbulent boundary layer flows over a compliant wall represents an absolute instability, and that the fast waves, termed flutter, represent a convective instability.…”

Absolutely Unstable Waves in Inviscid Hydroelastic Systems

“…In the frame of the inviscid #uid model all forces exerted by the #ow are scaled by the added mass function M (k). Added mass depends on the wavenumber k and the geometry of the #uid domain through the velocity potential I , equation (11). Consider here the mass ratio…”