INVESTIGADORES
CLAUSSE Alejandro
congresos y reuniones científicas
Título:
NUMERICAL SOLUTION OF WAVY-STRATIFIED FLUID-FLUID FLOW WITH THE ONE-DIMENSIONAL TWO-FLUID MODEL: STABILITY, BOUNDEDNESS, CONVERGENCE AND CHAOS
Autor/es:
W FULLMER; A CLAUSSE; A VAIDHEESWARAN; M LÓPEZ DE BERTODANO
Lugar:
Chicago
Reunión:
Congreso; ASME 2014 4th Joint US-European Fluids Engineering Division Summer; 2014
Institución organizadora:
ASME
Resumen:
In this
paper the one-dimensional two-fluid model is used to dynamically simulate
slightly inclined fluid-fluid flow in a rectangular channel. By that, it is
specifically meant that the solutions exhibit a wavy pattern arising from the
inherent instability of the model. The conditions and experimental data of
Thorpe are used for comparison. The linear instability of the model is regularized,
i.e., made well-posed, with surface tension and axial turbulent stress with a
simple turbulent viscosity model. Nonlinear analysis in an infinite domain
demonstrates for the first time one-dimensional two-fluid model chaotic
behavior in addition to limit cycle behavior and asymptotic stability. The
chaotic behavior is a consequence of the linear instability (the long
wavelength energy source) the nonlinearity (the energy transfer mechanism) and
the viscous dissipation (the short wavelength energy sink). Since the model is
chaotic, solutions exhibit sensitive dependence on initial conditions which
results in non-convergence of particular solutions with grid refinement. However,
even chaotic problems have invariants and the ensemble averaged water void
fraction amplitude spectrum is used to demonstrate convergence and make
comparisons to the experimental data.