Wave formation in a film Flowing down an inclined plane in the presence of phase change and tangential tension on a free surface

1996 ◽  
Vol 37 (2) ◽  
pp. 241-249 ◽  
Author(s):  
Yu. Ya. Trifonov
Keyword(s):  
Free Surface ◽  
Phase Change ◽  
Wave Formation ◽  
Inclined Plane ◽  
Tangential Tension

Numerical Solution of Thermal and Fluid Flow With Phase Change by VOF Method

2000 ◽  
Author(s):  
Hidemi Shirakawa ◽  
Yasuyuki Takata ◽  
Takehiro Ito ◽  
Shinobu Satonaka
Keyword(s):  
Fluid Flow ◽  
Free Surface ◽  
Phase Change ◽  
Calculation Result ◽  
Bubble Growth ◽  
Present Method ◽  
Spherical Shape ◽  
Superheated Liquid ◽  
One Dimensional ◽  
Solidification Problem

Abstract Numerical method for thermal and fluid flow with free surface and phase change has been developed. The calculation result of one-dimensional solidification problem agrees with Neumann’s theoretical value. We applied it to a bubble growth in superheated liquid and obtained the result that a bubble grows with spherical shape. The present method can be applicable to various phase change problems.

scholarly journals Modeling for Free Surface Flow with Phase Change

2005 ◽  
Vol 47 (4) ◽  
pp. 1187-1191 ◽  
Author(s):  
Xiaoyong Luo ◽  
Mingjiu Ni ◽  
Alice Ying ◽  
M. Abdou
Keyword(s):  
Free Surface ◽  
Phase Change ◽  
Free Surface Flow ◽  
Surface Flow

scholarly journals The Flow of a Variable Viscosity Fluid down an Inclined Plane with a Free Surface

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
M. S. Tshehla
Keyword(s):  
Free Surface ◽  
Variable Viscosity ◽  
Convective Heating ◽  
Fluid Viscosity ◽  
Inclined Plane ◽  
Flow Equations ◽  
Variation Parameter ◽  
Viscosity Variation ◽  
Viscosity Fluid ◽  
Variable Viscosity Fluid

The effect of a temperature dependent variable viscosity fluid flow down an inclined plane with a free surface is investigated. The fluid film is thin, so that lubrication approximation may be applied. Convective heating effects are included, and the fluid viscosity decreases exponentially with temperature. In general, the flow equations resulting from the variable viscosity model must be solved numerically. However, when the viscosity variation is small, then an asymptotic approximation is possible. The full solutions for the temperature and velocity profiles are derived using the Runge-Kutta numerical method. The flow controlling parameters such as the nondimensional viscosity variation parameter, the Biot and the Brinkman numbers, are found to have a profound effect on the resulting flow profiles.

Spreading and instability of a viscous fluid sheet

1990 ◽  
Vol 211 ◽  
pp. 373-392 ◽  
Author(s):  
L. M. Hocking
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Related Problem ◽  
Numerical Solutions ◽  
Thin Sheet ◽  
Leading Edge ◽  
Small Disturbance ◽  
Inclined Plane ◽  
Moving Contact Line ◽  
Moving Contact

Experiments by Huppert (1982) have demonstrated that a finite volume of fluid placed on an inclined plane will elongate into a thin sheet of fluid as it slides down the plane. If the fluid is initially placed uniformly across the plane, the sheet retains its two-dimensionality for some time, but when it has become sufficiently long and thin, the leading edge develops a spanwise instability. A similarity solution for this motion was derived by Huppert, without taking account of the edge regions where surface tension is important. When these regions are examined, it is found that the conditions at the edges can be satisfied, but only when the singularity associated with the moving contact line is removed. When the sheet is sufficiently elongated, the profile of the free surface shows an upward bulge near the leading edge. It is suggested that the observed instability of the shape of the leading edge is a result of the dynamics of the fluid in this bulge. The related problem of a ridge of fluid sliding down the plane is examined and found to be linearly unstable. The spanwise lengthscale of this instability is, however, dependent on the width of the channel occupied by the fluid, which is at variance with the observed nature of the instability. Preliminary numerical solutions for the nonlinear development of a small disturbance to the position of a straight leading edge show the incipient development of a finger of fluid with a width that does not depend on the channel size, in accordance with the observations.

Numerical Study on Successive Liquid Metal Alloy Droplet Depositions

2019 ◽  
Author(s):  
Vimalan Adaikalanathan ◽  
Albert Y. Tong
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Liquid Metal ◽  
Phase Change ◽  
Metal Alloy ◽  
Finite Volume Scheme ◽  
Detailed Knowledge ◽  
Alloy Droplet ◽  
Change Characteristics ◽  
Liquid Metal Alloy

Abstract Successive liquid metal alloy droplet impingements find extensive applications in additive manufacturing technologies and a detailed knowledge about the flow behavior, phase transformation and free surface deformation is required to have a complete understanding and optimization of the process parameters. Experimental research in this field is limited due to extremely small length and time scales involved. Numerical simulation of such process involves challenges like tracking deforming interfaces, modelling the successive droplets, surface tension, flow field and solidification. A non-isothermal enthalpy-based porosity model is used to numerically study the phase change characteristics of successive liquid metal droplet depositing onto a substrate. The flow governing equations are solved using the finite volume scheme. The Coupled Level Set Volume of Fluid (CLSVOF) method is used to track the free surface and the surface tension is modelled using the Continuum Surface Force (CSF) method. The splat morphology, phase change characteristics and effects of various impact conditions on successive columnar droplet depositions are examined.

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