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Lecture# Foam Inducing Nonlinear Damping

Description

This lecture delves into the concept of foam inducing nonlinear damping, exploring the effects of foam on damping in oscillators. The instructor discusses the asymptotic expansion and the impact of foam on nonlinear effects, emphasizing the exacerbation of nonlinear effects by foam. The lecture also covers the analysis of terms in the equations, focusing on the non-linear aspects and the transformation with Fourier series. Additionally, the lecture addresses the amplitude equation and the finite time singularity in the context of damping by foam.

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In course

Instructor

ME-466: Instability

This course focuses on the physical mechanisms at the origin of the transition of a flow from laminar to turbulent using the hydrodynamic instability theory.

Related concepts (32)

Related lectures (1)

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In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point. Investigations by revealed that the divergent part of an asymptotic expansion is latently meaningful, i.e. contains information about the exact value of the expanded function.

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