scholarly journals Characteristics and Stability Analyses of Transient One-Dimensional Two-Phase Flow Equations and Their Finite Difference Approximations

1978 ◽  
Vol 66 (3) ◽  
pp. 378-396 ◽  
Author(s):  
Robert W. Lyczkowski ◽  
Dimitri Gidaspow ◽  
Charles W. Solbrig ◽  
E. D. Hughes
Keyword(s):  
Finite Difference ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
One Dimensional ◽  
Flow Equations ◽  
Stability Analyses ◽  
Finite Difference Approximations ◽  
Difference Approximations

High-Resolution Simulations for Aerogel Using Two-Phase Flow Equations and Godunov Methods

2020 ◽  
Vol 12 (05) ◽  
pp. 2050049 ◽  
Author(s):  
D. Zeidan ◽  
L. T. Zhang ◽  
E. Goncalves
Keyword(s):  
Single Phase ◽  
Two Phase Flow ◽  
Equilibrium Mixture ◽  
Phase Flow ◽  
Two Phase ◽  
One Dimensional ◽  
Flow Equations ◽  
System A ◽  
Godunov Methods ◽  
Remarkable Agreement

Aerogel is studied numerically using a one-dimensional two-phase flow equations system. A hyperbolic and conservative two-phase flow model is applied to a mixture of porous media containing nanofluids. The application of non-equilibrium mixture behavior between phases is adopted and promoted in this current investigation. By establishing mixture conservation balance laws, finite volume techniques using Godunov methods of centered type are extended to aerogel simulations. Numerical results are compared with other methods providing a remarkable agreement. The computed results demonstrate the key capabilities of this existing mixture model in the resolution of discontinuities in aerogel problems and more reliable than applying a sophisticated single-phase flows with complex property models.

On the Numerical Computation for a One-Dimensional Two-Phase Flow Equations

2007 ◽  
Author(s):  
D. Zeidan
Keyword(s):  
Numerical Computation ◽  
Two Phase Flow ◽  
Volume Fraction ◽  
Homogeneous Problem ◽  
Phase Flow ◽  
Source Terms ◽  
Two Phase ◽  
Interphase Interaction ◽  
One Dimensional ◽  
Flow Equations

This paper describes the development of an approximate solution for the numerical computation for a one-dimensional two-phase flow equations. The equations include source terms which account for the relaxation of volume fraction and the interfacial fraction. A simple splitting numerical method, which handles separately the homogeneous and source terms problems, is used to compute approximations of the solutions. The homogeneous problem is solved numerically using Godunov methods of centred-type. This solution is then employed in the source terms problem to solve the general initial-value problem for the two-phase flow equations. Numerical results are presented demonstrating the complete approach. The results show that the interphase interaction through the source terms appearing in the equations.

A ONE-DIMENSIONAL TWO-PHASE FLOW MODEL AND EXPERIMENTAL VALIDATION FOR A FLASHING VISCOUS LIQUID IN A SPLASH PLATE NOZZLE

2015 ◽  
Vol 25 (9) ◽  
pp. 795-817 ◽  
Author(s):  
Mika P. Jarvinen ◽  
A. E. P. Kankkunen ◽  
R. Virtanen ◽  
P. H. Miikkulainen ◽  
V. P. Heikkila
Keyword(s):  
Viscous Liquid ◽  
Experimental Validation ◽  
Flow Model ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
One Dimensional

scholarly journals Correction to: One-dimensional drift-flux correlations for two-phase flow in medium-size channels

2021 ◽  
Author(s):  
Takashi Hibiki
Keyword(s):  
Open Access ◽  
Two Phase Flow ◽  
Medium Size ◽  
Phase Flow ◽  
Two Phase ◽  
One Dimensional ◽  
Open Access Publication ◽  
Internet Portal ◽  
Creative Commons ◽  
Drift Flux

The article “One-dimensional drift-flux correlations for two-phase flow in medium-size channels” written by Takashi Hibiki, was originally published electronically on the publisher’s internet portal (currently SpringerLink) on 17 April 2019 without open access. After publication in Volume 1, Issue 2, page 85–100, the author(s) decided to opt for Open Choice and to make the article an open access publication. Therefore, the copyright of the article has been changed to © The Author(s) 2020 and the article is forthwith distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, duplication, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

A Physically Based, One-Dimensional Two-Fluid Model for Direct Contact Condensation of Steam Jets Submerged in Subcooled Water

2015 ◽  
Vol 1 (2) ◽  
Author(s):  
David Heinze ◽  
Thomas Schulenberg ◽  
Lars Behnke
Keyword(s):  
Direct Contact ◽  
Two Phase Flow ◽  
Fluid Model ◽  
Interfacial Area ◽  
Phase Flow ◽  
Two Phase ◽  
One Dimensional ◽  
Two Fluid Model ◽  
Contact Condensation ◽  
Two Fluid

A simulation model for the direct contact condensation of steam in subcooled water is presented that allows determination of major parameters of the process, such as the jet penetration length. Entrainment of water by the steam jet is modeled based on the Kelvin–Helmholtz and Rayleigh–Taylor instability theories. Primary atomization due to acceleration of interfacial waves and secondary atomization due to aerodynamic forces account for the initial size of entrained droplets. The resulting steam-water two-phase flow is simulated based on a one-dimensional two-fluid model. An interfacial area transport equation is used to track changes of the interfacial area density due to droplet entrainment and steam condensation. Interfacial heat and mass transfer rates during condensation are calculated using the two-resistance model. The resulting two-phase flow equations constitute a system of ordinary differential equations, which is solved by means of the explicit Runge–Kutta–Fehlberg algorithm. The simulation results are in good qualitative agreement with published experimental data over a wide range of pool temperatures and mass flow rates.

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