Marcelo Souza de Castro

Transcrição

1 Desenvolvimento Espacial de uma Onda de Perturbação em Escoamento Bifásico Óleo Pesado Água no Padrão Estratificado Marcelo Souza de Castro

2 Motivação Estabilidade Hidrodinâmica do Padrão Estratificado ao longo de linhas de transporte de petróleo; Objetivo Teórico: Modelagem do escoamento bifásico através do modelo de dois fluidos; Usar método das características para verificar o desenvolvimento espacial de uma onda de perturbação; Definição de um critério de transição espacial. Experimental: Montar bancada experimental para comparar com resultados teóricos. Introdução

3 Escoamento Estratificado

4 Modelagem Utilização do modelo de dois Fluidos;

5 Modelagem Método Híbrido Baseado no deslizamento entre as fases. s>1 Óleo mais rápido que água; Velocidade da onda menor que a do óleo

6 Modelagem Método Híbrido Baseado no deslizamento entre as fases. s<1 Água mais rápido que Água mais rápido que água; Velocidade da onda menor que a do água

7 Modelagem Método das Características CL CH

8 Modelagem Método das Características

9 Modelagem Método das Características

10 Modelagem Método das Características Caso: s<1

11 Modelagem Método das Características Caso: s>1

12 Resultados Numéricos Usar método de diferenças finitas.

13 Experimental Readequação da gangorra; Projeto e montagem de bocal para escoamento estratificado; Projeto e montagem de sistema de amortecimento para o fluido;

14 Bocal: Experimental

15 Próximas Etapas Bancada Experimental; Análise pelo método das Características da equação da onda; Levantamento de banco de dados; Utilização do método de Gaster (1962) para critério de transição espacial.

16 Referências Bibliográficas Al Wahaibi, T. e Angeli, P., Transition beween stratified and non-stratified horizontal oil-water flows, Part I: Stability analysis. Chemical Engineering Science 62, , Angeli, P., Liquid-liquid dispersed flows in horizontal pipes, Ph.D. Thesis. Imperial College of Science, Technology and Medicine, Arirachakaran,S. et. al., An analysis of oil/water flow phenomena in horizontal pipes, SPE Paper 18836, SPE Prof. Prod. Operating Symp., Oklahoma, Barnea, D. e Taitel, Y, Transient-formulation modes and stability of steady-state annular flow, Chemical Engineering Science vol. 44,n. 2, , Barnea, D., Stability analysis of annular flow structure, using a discrete form of the two-fluid model, Int. J. Multiphase Flow 17, , Barnea, D. e Taitel, Y., Kelvin-Helmholtz stability criteria for stratified flow: viscous versus non-viscous (inviscid) approaches, International Journal of Multiphase Flow, 19, n. 4, , Barnea, D. e Taitel, Y, Interfacial and Structural stability of separated flow, Int. J. Multiphase Flow 20, , Barnea, D. e Taitel, Y, Structural stability of stratified flow the two-fluid model approach, Chemical Engineering Science vol. 49, 22, , Bergles, A.E. et. al., Two-phase Flow and Heat Transfer in The Power and Process Industries, Hemisphere;Mc Graw-Hill, Betchov, R., e Criminale, W., O.. Stability of parallel flow. Academic press Brauner, N., Two phase Liquid-liquid annular flow, International Journal of Multiphase Flow, 17, n. 1, p , Brauner, N e Maron, D.M., Flow pattern transitions in two-phase liquid-liquid flow in horizontal tubes, International Journal of Multiphase Flow, 18, n. 1, p. 123, 1992b. Brauner, N. e Maron, D.M., Stability analysis of stratified liquid-liquid flow, International Journal of Multiphase Flow, 18, n. 1, p. 103, 1992a. Brauner, N., e Maron, D. M., Classification of Liquid-Liquid Two-phase Flow Systems and the Prediction of Flow Pattern Maps, 2 nd International Symposium on Two-Phase Flow Modeling and Experimentation - ISTP 99, 2, pp , Pisa, Italy, Butterworth, D. e Hewitt, G.F., Two-phase Flow and Heat Transfer, Oxford University Press, reprinted 1978, Eds Cheng, L., Ribatski, G. e Thome, J. R., Two phase flow patterns asn flow-patterns maps: Fundamentals and Applications, Applied Mechanics Review, Published online, 30 de Julho, vol, 61., Crowley, C.J., Wallis, G.B. e Barry, J.J., Dimensionless form of a one-dimensional wave model for the stratified flow regime transition, International Journal of Multiphase Flow, 19, n. 2, pp , Crowley, C.J., Wallis, G.B. e Barry, J.J., Validation of a one-dimensional wave model for the stratified-to-slug flow regime transition, with consequences for wave growth and slug frequency, International Journal of Multiphase Flow, 18, n. 2, pp , Delhaye, J. M., Basic equations for two-phase flow modeling, in: Two-Phase Flow and Heat Transfer in the Power and Process Industries, Editado por A. E. Bergles, Hemisphere Pub. Corp., Drazin, P. G., e Reid, W. H.. Hydrodynamic stability. Cambridge University Press, Elseth, G., An experimental study of oil-water flow in horizontal pipes, Ph.D. Thesis. The Norwegian University of Science and Technology, Fairusov, Y.V. et. al., Flow pattern transitions in horizontal pipelines carrying oil-water mixtures: full-scale experiments, Journal of Energy Resources Technology, 122, pp , Galimov, A. Y., Drew, D. A., Lahey Jr. R. T. and Moraga, F. J., The analysis of interfacial waves, Nuclear Engineering and Design 235, , 2005.

17 Referências Bibliográficas Gaster, M, On the generation of Spatially Growing Waves in Boundary Layer, J. Fluid Mechanics, 22, pp , 1964 Gaster, M, On the Effects of Boundary-Layer Growth on Flow Stability, J. Fluid Mechanics, 66, pp , 1974 Govier, G.W., e Aziz, K., The Flow of Complex Mixtures in Pipes, Van Nostrand-Reinhold, Gu, H.Y. e Guo, L.J., Stability of stratified Gas-Liquid Flow in Horizontal and near Horizontal pipes, J. Chem. Eng., 15(5), , Hackbusch, K. W., On a Method of Characteristics for Solving a Hyperbolic Equation of Second Order, Computing, 20, pp , Hewitt, G.F., Measurement of Two-phase Flow Parameters, Academic Press, Ishii, M., Thermo-fluid Dynamic Theory of Two-phase Flow, Eyrolles, Jones, A. V. e Prosperetti, A., On the suitability of first-order differential models for two-phase flow prediction. Int. J. Multiphase Flow 11, , Jones, A. V. e Prosperetti, A., The linear stability of general two-phase flow models--ii. Int. J. Multiphase Flow 13, , Joseph, D. D., Bannwart, A. C. e Liu, Y. J., Stability of annular flow and slugging, Int. J. Multiphase Flow 22, , Kunii, D., e Levenspiel, O., Fluidization Engineering. Inc. USA, John Wiley & Sons, Linn, C. C., The Theory of Hydrodynamic stability. Cambridge University Press, Lovick, J., e Angeli, P., Two-phase Liquid Flows at the Partially Dispersed Flow Regime, 4 th International Conference of Multiphase Flow, New Orleans, maio 27-junho 1, Mattheij, R. M., et al, Partial Differential Equations,: Modelling, Analysis, Computation. SIAM, 2005 Petalas N. e Aziz K., A mechanistic model for multiphase flow in pipes, Journal of Canadian Petroleum Technology, 39, n. 6, pp , Rodriguez, O. M. H. e Bannwart, A. C., 1 Analytical model for interfacial waves in vertical core flow, Journal of Petroleum Science and Engineering 54, , Rodriguez, O. M. H. e Bannwart, A. C., 2 Experimental study on interfacial waves in vertical core flow, Journal of Petroleum Science and Engineering 54, , Rodriguez, O. M. H. e Bannwart, A. C., Stability Analysis of Core-Annular flow and neutral stability wave number, AIChE Journal, 54, pp 20-31, Schlichting, H., Boundary Layer Theory. McGraw-Hill, Taitel, Y. e Dukler, A. E., A model for predicting flow regime transitions in horizontal and near horizontal gas-liquid flow. A.I.Ch.E. Journal, 22, pp , Taitel, Y., Barnea, D. e Dukler, A. E., Modeling flow pattern transitions for steady upward gas-liquid flow in vertical tubes, A.I.Ch.E. Journal, 26, pp , Trallero, J. L., Oil-Water Flow Patterns in Horizontal Pipes, Ph.D. thesis, The University of Tulsa, Tulsa, Oklahoma, Trallero, J.L., Sarica, C., e Brill, J.P., A Study of Oil/water Flow Patterns in Horizontal Pipes, SPE Production & Facilities, SPE 36609, agosto, Wallis, G.B. One-dimensional Two-Phase Flow, EUA, McGraw Hill, Watson, J, On spatially-growing Finite Disturbancces in Plane Poiseuille Flow,