A Phase Fluid Model: Derivation and New Interface Relation

1992 ◽  
pp. 29-50 ◽  
Author(s):  
G. Caginalp ◽  
J. Jones
Keyword(s):  
Fluid Model ◽  
Model Derivation ◽  
Phase Fluid

scholarly journals Estimation of flow velocity for a debris flow via the two-phase fluid model

2015 ◽  
Vol 22 (1) ◽  
pp. 109-116 ◽  
Author(s):  
S. Guo ◽  
P. Xu ◽  
Z. Zheng ◽  
Y. Gao
Keyword(s):  
Debris Flow ◽  
Real World ◽  
Empirical Formula ◽  
Debris Flows ◽  
Fluid Model ◽  
Two Phase ◽  
Liquid Phases ◽  
Two Phases ◽  
Phase Fluid ◽  
Steady Velocity

Abstract. The two-phase fluid model is applied in this study to calculate the steady velocity of a debris flow along a channel bed. By using the momentum equations of the solid and liquid phases in the debris flow together with an empirical formula to describe the interaction between two phases, the steady velocities of the solid and liquid phases are obtained theoretically. The comparison of those velocities obtained by the proposed method with the observed velocities of two real-world debris flows shows that the proposed method can estimate the velocity for a debris flow.

A two-phase fluid model of crystal settling under variable gravity

1999 ◽  
Author(s):  
A. Alexandrou ◽  
H. Shi ◽  
N. Gatsonis ◽  
A. Sacco, Jr.
Keyword(s):  
Fluid Model ◽  
Two Phase ◽  
Crystal Settling ◽  
Variable Gravity ◽  
Phase Fluid

A FRACTAL TWO-PHASE FLOW MODEL FOR THE FIBER MOTION IN A POLYMER FILLING PROCESS

Fractals ◽  
2020 ◽  
Vol 28 (05) ◽  
pp. 2050093 ◽  
Author(s):  
XUEJUAN LI ◽  
ZHI LIU ◽  
JI-HUAN HE
Keyword(s):  
Fiber Orientation ◽  
Fluid Model ◽  
Polymer Melt ◽  
Element Model ◽  
Filling Process ◽  
Governing Equations ◽  
Two Phase ◽  
Fiber Motion ◽  
Fractal Space ◽  
Phase Fluid

This paper suggests a fractal two-phase fluid model for the polymer melt filling process to deal effectively with the unsmooth front interface. An infinitesimal fluid element model in a fractal space is proposed to establish the governing equations according to the conservation laws in fluid mechanics, the fractal divergence and fractal Laplace operator are defined. The unsmooth interface is solved numerically, and fibers’ motion properties on the interface are also elucidated. Moreover, the distribution of fibers on the interface at different stages shows the fractal property of the fibers’ motion. However, the motion of fibers is affected by the flow of macroscopic polymer melt, and the fiber orientation in the interface shows a certain statistical regularity. Based on the characters of fiber orientation, the fractal interface can be used for the optimal design of the polymer melt filling process.

Numerical Simulation of Bubble Migration in Liquid Titanium Melts under Hypergravity Field

2013 ◽  
Vol 762 ◽  
pp. 387-391
Author(s):  
Qin Xu ◽  
Shi Ping Wu ◽  
Xiang Xue
Keyword(s):  
Reference Frames ◽  
Fluid Model ◽  
Water Model ◽  
Rotating Shaft ◽  
Two Phase ◽  
Liquid Titanium ◽  
Multiple Reference Frames ◽  
Phase Fluid ◽  
Multiple Reference ◽  
Titanium Melt

Bubble migrations in liquid titanium melt under hypergravity field is modeled using commercial computational fluid dynamics software FLUENT 6.3 (Fluent inc., USA). The two-phase fluid model, incorporated with the Multiple Reference Frames (MRF) method is used to predict the movement of the bubble in the melt. Simulated results are compared with experimental data from the water model measurement and reasonable agreements are obtained. Furthermore, the computed results show that the bubble migration under hypergravity field includes the movement forward to the casting rotating shaft and the movement opposite to the direction of the rotating mould. In addition, the initial bubble size and the surface tension between the melt and the gas bubble have an important effect on the distortion of the bubble.

The Effect of Shape Factor on the Magnetic Targeting in the Permeable Microvessel With Two-Phase Casson Fluid Model

2011 ◽  
Vol 2 (4) ◽  
Author(s):  
Sachin Shaw ◽  
P. V. S. N. Murthy
Keyword(s):  
Magnetic Field ◽  
Volume Fraction ◽  
Fluid Model ◽  
Casson Fluid ◽  
Magnetic Drug Targeting ◽  
Magnetic Targeting ◽  
Two Phase ◽  
Coupled Equations ◽  
Casson Fluid Model ◽  
Phase Fluid

The present investigation deals with magnetic drug targeting in a microvessel of radius 5 μm using two-phase fluid model. The microvessel is divided into the endothelial glycocalyx layer wherein the blood obeys Newtonian character and a core region wherein the blood obeys the non-Newtonian Casson fluid character. The carrier particles, bound with nanoparticles and drug molecules, are injected into the vascular system upstream from the malignant tissue and are captured at the tumor site using a local applied magnetic field near the tumor position. Brinkman model is used to characterize the permeable nature of the inner wall of the microvessel. The expressions for the fluidic force for the carrier particle traversing in the two-phase fluid in the microvessel and the magnetic force due to the external magnetic field are obtained. Several factors that influence the magnetic targeting of the carrier particles in the microvasculature, such as the size and shape of the carrier particle, the volume fraction of embedded magnetic nanoparticles, and the distance of separation of the magnet from the axis of the microvessel, are considered in the present problem. The system of coupled equations is solved to obtain the trajectories of the carrier particle in the noninvasive case.

Numerical Simulation of Two-Phase Fluid Flow and Heat Transfer With or Without Phase Change Using a Volume-of-Fluid Model

2004 ◽  
Author(s):  
Lieke Wang ◽  
Bengt Sunde´n
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Phase Change ◽  
Fluid Model ◽  
Piecewise Linear ◽  
Volume Of Fluid ◽  
Two Phase ◽  
Flow And Heat Transfer ◽  
Vof Model ◽  
Phase Fluid

Numerical simulations of two-phase fluid flow and heat transfer with or without phase change have been carried out. The Volume-of-Fluid (VOF) model was used in the simulations, and a procedure for considering the phase change process was developed. The Piecewise Linear Interface Calculation (PLIC) method is employed for the interface reconstruction, to keep the sharp interface. The coupling between pressure and velocity is treated by the SIMPLEC algorithm. The surface tension is modeled by the Continuum Surface Force (CSF) model. An in-house code has been developed, and two examples are presented in this paper, i.e., dam-break case and a falling water droplet in a steam bath. The calculation results are compared with corresponding experimental data, and good agreement is obtained.

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