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Parametric oscillations and the transition to turbulence in laminar flows

Thesis/Dissertation ·
OSTI ID:6182461

A new type of analytic expansion for use in stability calculations is presented and applied to the question of the stability of laminar solutions of the Navier-Stokes equation. This leads in a natural way to a model of the transition from laminar to turbulent flow as an effect of parametric instabilities. The parametric instabilities occur because of the symmetry breaking involved in the presence of a Tollmien-Schlichting wave. Recent experiments and numerical simulations are then shown to be in accordance with this model.

Research Organization:
Dartmouth Coll., Hanover, NH (USA)
OSTI ID:
6182461
Country of Publication:
United States
Language:
English

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Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COMPARATIVE EVALUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INSTABILITY
LAMINAR FLOW
MATHEMATICAL MODELS
NAVIER-STOKES EQUATIONS
PARAMETRIC INSTABILITIES
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
TURBULENT FLOW