In recent years non-normality and transient growths have attracted much interest in fluid mechanics. Here, we investigate these topics with reference to the problem of interfacial instability in superposed Newtonian and non-Newtonian fluid layers. Under the hypothesis of the lubrication theory, we demonstrate the existence of significant transient growths in the parameter space region where the dynamical system is asymptotically stable, and show how they depend on the main physical parameters. In particular, the key role of the density ratio is highlighted.
Flow non-normality-induced transient growth in superposed Newtonian and non-Newtonian fluid layers / Camporeale, CARLO VINCENZO; Gatti, F; Ridolfi, Luca. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - STAMPA. - 80:(2009), p. 036312. [10.1103/PhysRevE.80.036312]
Flow non-normality-induced transient growth in superposed Newtonian and non-Newtonian fluid layers
CAMPOREALE, CARLO VINCENZO;RIDOLFI, LUCA
2009
Abstract
In recent years non-normality and transient growths have attracted much interest in fluid mechanics. Here, we investigate these topics with reference to the problem of interfacial instability in superposed Newtonian and non-Newtonian fluid layers. Under the hypothesis of the lubrication theory, we demonstrate the existence of significant transient growths in the parameter space region where the dynamical system is asymptotically stable, and show how they depend on the main physical parameters. In particular, the key role of the density ratio is highlighted.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2280997
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