Nonlinear Upscaling of Two-Phase Flow Using Non-Local Multi-Continuum Approach

2019 ◽  
Author(s):  
Wing T. Leung ◽  
Eric T. Chung ◽  
Yalchin Efendiev ◽  
Maria Vasilyeva ◽  
Mary Wheeler
Keyword(s):  
Two Phase Flow ◽  
Phase Flow ◽  
Continuum Approach ◽  
Two Phase ◽  
Non Local

A non-local two-phase flow model for immiscible displacement in highly heterogeneous porous media and its parametrization

2013 ◽  
Vol 62 ◽  
pp. 475-487 ◽  
Author(s):  
Jan Tecklenburg ◽  
Insa Neuweiler ◽  
Marco Dentz ◽  
Jesus Carrera ◽  
Sebastian Geiger ◽  
...  
Keyword(s):  
Porous Media ◽  
Flow Model ◽  
Two Phase Flow ◽  
Heterogeneous Porous Media ◽  
Immiscible Displacement ◽  
Phase Flow ◽  
Two Phase ◽  
Non Local

scholarly journals A Derivation of the Nonlocal Volume-Averaged Equations for Two-Phase Flow Transport

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Gilberto Espinosa-Paredes
Keyword(s):  
Nuclear Reactor ◽  
Two Phase Flow ◽  
Solid Phase ◽  
Volume Averaging ◽  
Phase Flow ◽  
Two Phase ◽  
Averaged Equations ◽  
Non Local ◽  
General Transport ◽  
Volume Method

In this paper a detailed derivation of the general transport equations for two-phase systems using a method based onnonlocalvolume averaging is presented. Thelocalvolume averaging equations are commonly applied in nuclear reactor system for optimal design and safe operation. Unfortunately, these equations are limited to length-scale restriction and according with the theory of the averaging volume method, these fail in transition of the flow patterns and boundaries between two-phase flow and solid, which produce rapid changes in the physical properties and void fraction. Thenon-localvolume averaging equations derived in this work contain new terms related withnon-localtransport effects due to accumulation, convection diffusion and transport properties for two-phase flow; for instance, they can be applied in the boundary between a two-phase flow and a solid phase, or in the boundary of the transition region of two-phase flows where thelocalvolume averaging equations fail.

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