Finite element simulation of three-dimensional free-surface flow problems with dynamic contact lines

2005 ◽  
Vol 47 (10-11) ◽  
pp. 1353-1359 ◽  
Author(s):  
M. A. Walkley ◽  
P. H. Gaskell ◽  
P. K. Jimack ◽  
M. A. Kelmanson ◽  
J. L. Summers
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Finite Element Simulation ◽  
Three Dimensional ◽  
Free Surface Flow ◽  
Dynamic Contact ◽  
Surface Flow ◽  
Contact Lines ◽  
Flow Problems ◽  
Element Simulation

scholarly journals Finite Element Simulation of Three-Dimensional Free-Surface Flow Problems

2005 ◽  
Vol 24 (2) ◽  
pp. 147-162 ◽  
Author(s):  
M. A. Walkley ◽  
P. H. Gaskell ◽  
P. K. Jimack ◽  
M. A. Kelmanson ◽  
J. L. Summers
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Finite Element Simulation ◽  
Three Dimensional ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Flow Problems ◽  
Element Simulation

scholarly journals Finite Element Simulation of a Taylor Bubble in Two-Phase Gas-Liquid Slug Flows using Petrov-Galerkin Formulation

2021 ◽  
Vol 18 (3) ◽  
pp. 229-237
Author(s):  
H.A. Abubakar ◽  
A. Yusuf ◽  
Y. Sanusi ◽  
H.A. Dandajeh
Keyword(s):  
Finite Element ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Two Phase ◽  
Systematic Analysis ◽  
Taylor Bubble ◽  
Galerkin Finite Element ◽  
Flow Problems ◽  
Element Simulation ◽  
Good Agreement

Petrov-Galerkin finite element scheme for systematic analysis of the dynamics of a rising Taylor bubble and general free surface flow problems is derived and implemented. The validity of the scheme is confirmed by simulating the buoyancy-driven motion of a Taylor bubble through a stagnant Newtonian liquid in a vertical pipe characterised by dimensionless inverse viscosity number and Eötvös number of magnitude 111 and 189, respectively. Comparison of the numerical results for the steady state features defining the nose, film, and bottom regions around the bubble with the experiment shows a good agreement between the numerical simulation and the experiment. The percentage deviation of the numerical computed rise velocity, equilibrium film thickness, and stabilisation length ahead of the bubble from the experimental determined values are 8.4%, 2.3%, and 9.5%, respectively.

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