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Research Article | Open Access
Volume 15 2023 | None
STUDY ON FLUID DYNAMICAL SYSTEMSONSET OF INSTABILITY IN SOME FLUID DYNAMICAL SYSTEMS
RAJESH L
Pages: 15-19
Abstract
It is well-established in many physical systems across a wide range of length scales that there exist maximum rates at which the wetting and dewetting of solid surfaces are stable. Past this maximum, the flow changes, depositing films on solids (wetting) and entraining the outer fluid into the leading one (dewetting). Many studies have been conducted to better understand the conditions that lead to the emergence of these novel flow states, which may or may not be desirable. Until recently, these changes were captured by steady computations in numerical models.Here, we take a look at the recent developments in computing the time-dependent problem using dynamical systems theory. In this paper, we use a linear stability analysis as a jumping off point to show that unstable solutions serve as 'edge states' that mark the 'point of no return' beyond which fluctuations in the stable flow no longer diminish and, critically, that demonstrate the system can become unstable before the maximum speed is reached.
Keywords
It is well-established in many physical systems across a wide range of length scales that there exist maximum rates at which the wetting and dewetting of solid surfaces are stable.
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