Simulation of Copolymer Phase Separation in One-Dimensional Thin Liquid Films

2012 ◽  
Vol 2 (1) ◽  
pp. 33-46
Author(s):  
Hidenori Yasuda
Keyword(s):  
Phase Separation ◽  
Shallow Water Equations ◽  
Microphase Separation ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Two Phase ◽  
One Dimensional ◽  
Positive Volume ◽  
Spurious Oscillations ◽  
The One

AbstractThis paper discusses the development of an invariant finite difference scheme to simulate the microphase separation of copolymers in one-dimensional thin liquid films. The film phenomena are modelled using two-phase shallow water equations and the Ohta-Kawasaki potential, which governs the phase separation of the copolymer. Non-positive volume fractions and spurious oscillations are eventually eliminated, in simulating the one-dimensional phase separation lamellar pattern.

scholarly journals Kinetics of spinodal phase separation in unstable thin liquid films

2010 ◽  
Vol 82 (1) ◽  
Author(s):  
Rajesh Khanna ◽  
Narendra Kumar Agnihotri ◽  
Manish Vashishtha ◽  
Ashutosh Sharma ◽  
Prabhat K. Jaiswal ◽  
...  
Keyword(s):  
Phase Separation ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Kinetics Of

Modeling of Wall Friction for Multispecies Solid-Gas Flows

1986 ◽  
Vol 108 (4) ◽  
pp. 486-488 ◽  
Author(s):  
E. D. Doss ◽  
M. G. Srinivasan
Keyword(s):  
Shear Stress ◽  
Flow Model ◽  
Flow Characteristics ◽  
Wall Friction ◽  
Gas Flows ◽  
Two Phase ◽  
One Dimensional ◽  
Friction Models ◽  
Wall Interaction ◽  
The One

The empirical expressions for the equivalent friction factor to simulate the effect of particle-wall interaction with a single solid species have been extended to model the wall shear stress for multispecies solid-gas flows. Expressions representing the equivalent shear stress for solid-gas flows obtained from these wall friction models are included in the one-dimensional two-phase flow model and it can be used to study the effect of particle-wall interaction on the flow characteristics.

A Linear Stability Analysis for an Improved One-Dimensional Two-Fluid Model

2003 ◽  
Vol 125 (2) ◽  
pp. 387-389 ◽  
Author(s):  
Jin Ho Song
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Fluid Model ◽  
Two Phase ◽  
One Dimensional ◽  
Proposed Model ◽  
Two Fluid Model ◽  
The One ◽  
Two Fluid

A linear stability analysis is performed for a two-phase flow in a channel to demonstrate the feasibility of using momentum flux parameters to improve the one-dimensional two-fluid model. It is shown that the proposed model is stable within a practical range of pressure and void fraction for a bubbly and a slug flow.

Upflow Anaerobic Sludge Digestion in a Phase Separation System

1993 ◽  
Vol 28 (7) ◽  
pp. 133-138 ◽  
Author(s):  
Hsin-Yi Lin ◽  
Chaio-Fuei Ouyang
Keyword(s):  
Phase Separation ◽  
Gas Production ◽  
Anaerobic Sludge ◽  
Phase System ◽  
Volatile Acid ◽  
Two Phase ◽  
Cell Biomass ◽  
Sludge Digestion ◽  
Methane Production Rate ◽  
The One

This paper aims to expand the knowledge about methods for improving the rate of solids hydrolysis, volatile acid formation and methane gas production. It studies the effects of phase separation and operational modes on the performance of the process. Two systems were investigated. The two-phase system consisted of a CSTR acid-phase digester and an upflow methane-phase digester, the one-phase system comprised of an upflow anaerobic digester. In order to provide optimal contact conditions and recycle liberated indigenous enzymes or cell biomass fractions, continuous recycling of the effluent sludges to the sludge bed of the reactor was used. In general, the nonbiodegradable portion of the substrates contained in the mixed sludges was found to be about 45% on the basis of TVS. The TVS reduction of the two-phase system was 53%, this is higher than in the one-phase system. Methane production rate and methane content were 0.351 l/g TVS added and 66.6%, respectively.

Verification of a One-Dimensional Two-Phase Flow Model of the Frontal Gap in Electrochemical Machining

1976 ◽  
Vol 98 (2) ◽  
pp. 431-437 ◽  
Author(s):  
F. Fluerenbrock ◽  
R. D. Zerkle ◽  
J. F. Thorpe
Keyword(s):  
Flow Model ◽  
Radial Flow ◽  
Electrochemical Machining ◽  
Equilibrium Conditions ◽  
Two Phase ◽  
One Dimensional ◽  
Supply Pressure ◽  
Theoretical Predictions ◽  
The One ◽  
Experimental Pressure

A set of six equations, which are based on the ECM model developed by Thorpe and Zerkle, can be solved numerically to yield the one-dimensional distributions of pressure, temperature, gas density, gap thickness, void fraction, and electrolyte velocity in the rectilinear ECM frontal gap under equilibrium conditions. The validity of the model, which also applies to radial flow geometries, is confirmed by comparing experimental pressure and gap profiles with theoretical predictions. It is shown that for a given set of operating parameters there is a minimum supply pressure below which no machining is possible. When machining steel with an aqueous NaCl electrolyte the deposition of a black smut (Fe(OH)2) occurs beyond a certain smut-free entrance length, which was experimentally found to be proportional to the inlet gap thickness.

scholarly journals Phase separation and pairing regimes in the one-dimensional asymmetric Hubbard model

2010 ◽  
Vol 81 (22) ◽  
Author(s):  
L. Barbiero ◽  
M. Casadei ◽  
M. Dalmonte ◽  
C. Degli Esposti Boschi ◽  
E. Ercolessi ◽  
...  
Keyword(s):  
Phase Separation ◽  
Hubbard Model ◽  
One Dimensional ◽  
The One ◽  
Asymmetric Hubbard Model
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