scholarly journals The space-time conservation element and solution element scheme for simulating two-phase flow in pipes

2019 ◽  
Vol 11 (12) ◽  
pp. 168781401989835 ◽  
Author(s):  
Rana Danish Aslam ◽  
Ashiq Ali ◽  
Asad Rehman ◽  
Shamsul Qamar
Keyword(s):  
Source Term ◽  
Two Phase Flow ◽  
Mass Conservation ◽  
Space Time ◽  
Upwind Scheme ◽  
Phase Flow ◽  
Two Phase ◽  
Conservation Equations ◽  
Element Scheme ◽  
Solution Element

In this article, the space-time conservation element and solution element scheme is extended to simulate the unsteady compressible two-phase flow in pipes. The model is non-conservative and the governing equations consist of three equations, namely, two mass conservation equations for each phase and one mixture-momentum equation. In the third equation, the non-conservative source term appears, which describes the sum of gravitational and frictional forces. The presence of source term and two mass conservation equations in considered model offers difficulties in developing the accurate and robust numerical techniques. The suggested space-time conservation element and solution element numerical scheme resolves the volume-contact discontinuities efficiently. Furthermore, the modified central upwind scheme is also extended to solve the same two-phase flow model. The number of test problems is considered, and the results obtained by space-time conservation element and solution element scheme are compared with the solutions of modified central upwind scheme. The numerical results show better performance of the space-time conservation element and solution element method as compare to the modified central upwind scheme.

scholarly journals A Unifying Numerical Framework for the “Small-Slope” Based Core-Annular Flow Instability Models

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1941
Author(s):  
Antonio Quevedo ◽  
Carlos Fuentes ◽  
Carlos Chávez ◽  
Enrique González-Sosa ◽  
Carlos Mota
Keyword(s):  
Evolution Equations ◽  
Two Phase Flow ◽  
Flow Instability ◽  
Nonlinear Partial Differential Equations ◽  
Mass Conservation ◽  
Flow In Porous Media ◽  
Phase Flow ◽  
Two Phase ◽  
Theoretical Approaches ◽  
Highly Nonlinear

The snap-off is an instability phenomenon that takes place during the immiscible two-phase flow in porous media due to competing forces acting on the fluid phases and at the interface between them. Different theoretical approaches have been proposed for the development of mathematical models that describe the dynamics of a fluid/fluid interface in order to analyze the snap-off mechanism. The models studied here are based on the “small-slope” approach and were derived from the mass conservation and other governing equations of two-phase flow at pore scale in circular capillaries for pure and complex interfaces. The models consist of evolution equations; highly nonlinear partial differential equations of fourth order in space and first order in time. Although the structure of the models for each type of interface is similar, different numerical techniques have been employed to solve them. Here, we propose a unifying numerical framework to solve the group of such models. Such a framework is based on the Fourier pseudo-spectral differentiation method which uses the Fast Fourier Transform (FFT) and the inverse FFT (IFFT) algorithms. We compared the solutions obtained with this method to the results reported in the literature in order to validate our framework. In general, acceptable agreements were obtained in the dynamics of the snap-off.

scholarly journals Axisymmetric two‐phase flow simulations on space‐time meshes

PAMM ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Violeta Karyofylli ◽  
Liubov Kamaldinova ◽  
Marek Simon ◽  
Oleg Mokrov ◽  
Uwe Reisgen ◽  
...  
Keyword(s):  
Two Phase Flow ◽  
Space Time ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Simulations

scholarly journals Numerical Simulation of Liquid-Fueled Detonations by an Eulerian–Lagrangian Model

2012 ◽  
Vol 13 (2) ◽  
Author(s):  
Hua Shen ◽  
Gang Wang ◽  
Kaixin Liu ◽  
Deliang Zhang
Keyword(s):  
Numerical Simulation ◽  
Flow Model ◽  
Two Phase Flow ◽  
Gaseous Mixture ◽  
Space Time ◽  
Lagrangian Method ◽  
Lagrangian Model ◽  
Phase Flow ◽  
Two Phase ◽  
Eulerian Method

AbstractIn this paper, an Eulerian–Lagrangian two-phase flow model for liquid-fueled detonations is constructed. The gaseous mixture is described by an Eulerian method, and liquid particles in gaseous mixture are traced by a Lagrangian method. An improved space-time conservation element and solution element (CE/SE) scheme is applied to the simulations of detonations in liquid C

scholarly journals PREMATURE SHUT OFF POSSIBILITY PREDICTION FOR AUTOMOTIVE FUEL TANK SYSTEM

2021 ◽  
Vol 20 (1) ◽  
pp. 34
Author(s):  
F. K. Maruyama ◽  
K. P. Burr
Keyword(s):  
Steady State ◽  
Two Phase Flow ◽  
Control Volume ◽  
Mass Conservation ◽  
Fuel Tank ◽  
Main Concern ◽  
Phase Flow ◽  
Two Phase ◽  
Fuel Supply ◽  
Drift Flux Model

Prediction of the possibility of a vehicle fuel tank supply process prematureshut off is of main concern for the automotive industry. The main objectiveof this work is to show that premature shut off can be explained by the absenceof a steady state after the initial transient in the fuel supply process. Thevehicle fuel tank considered in this work is composed only of a rectilinearpipe inclined with respect to the horizontal and connected to the top of arectangular tank. The counter-current two-phase flow in the pipe is modeledusing the one-dimensional drift flux model and the tankis modeled as a control volume where mass conservation for each phase isconsidered. Linear stability analysis of the two-phase flow model shows theabsence of the steady state phase for a range of liquid flow rates before theflooding condition is achieved as a function of tube inclination and length.This fact suggests that premature shut off occurs due to the absence of asteady state regime phase during the fuel supply process.

Sign in / Sign up

Export Citation Format

Share Document