Banca de QUALIFICAÇÃO: ADILSON PAULO DE MIRANDA JUNIOR

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
DISCENTE : ADILSON PAULO DE MIRANDA JUNIOR
DATA : 10/03/2022
HORA: 09:00
LOCAL: vidoeconferência
TÍTULO:

NUMERICAL STUDY OF THE NONLINEAR DYNAMICS OF  A  SIMPLIFIED MODEL FOR TWO-PHASE FLOWS IN PIPELINE-RISER SYSTEMS.

PÁGINAS: 88
GRANDE ÁREA: Engenharias
ÁREA: Engenharia Mecânica
SUBÁREA: Fenômenos de Transporte
ESPECIALIDADE: Mecânica dos Fluídos
RESUMO:

The two-phase flow in a pipeline-riser system is modeled through a control volume approach. Both pipeline and riser are considered control volumes. In the pipeline, the flow assumed as always stratified. The pipeline governing equations are the liquid and gas mass conservation equations. The gas pressure is constant along the pipeline, but varies with time. The liquid pressure  is hydrostatic. The void fraction in the pipeline is given by a  local equilibrium relation between the liquid ans gas frictional forces with the pipe wall, and at the liquid-gas interface, in addition to the gravitational force. The riser governing equations result from the liquid and gas mass  conservation and the conservation of the linear momentum. To close the model, a kinematic relation that specifies the relative velocity between the phases is choosen. The pipeline-riser governing equations is composed by a system of three differential equations plus a set of algebraic equations. This system of differential-algebraic equations (DAE) has the minimum requirements for its nonlinear dynamics to present a chaotic behavior. The main objective of this work is to study the nonlinear dynamics of the DAE that models two-phase flows in pipeline-riser  systems as a function of system parameters and boundary conditions. The model has only one stanionary state and its stability is studied through linear stability analysis. The basin of attraction of this stationary state is obtained though a Lyapunov function. Poincaré maps are constructed to study periodic orbits and their stability as a function of system parameters and boundary conditions. These are also used to check the possibility of  chaotic behavior. If this possibility exists, Lyapunov exponents are used as a second criterion to determine the existence of  chaotic behavior.

MEMBROS DA BANCA:
Presidente - Interno ao Programa - 1604343 - KARL PETER BURR
Membro Titular - Examinador(a) Interno ao Programa - 2249350 - DIEGO PAOLO FERRUZZO CORREA
Membro Titular - Examinador(a) Interno ao Programa - 1065284 - ANDRE DAMIANI ROCHA
Membro Suplente - Examinador(a) Interno ao Programa - 1985515 - ANTONIO GARRIDO GALLEGO