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TECHNICAL PAPERS

Implicit Multigrid Computations of Buoyant Drops Through Sinusoidal Constrictions

[+] Author and Article Information
Metin Muradoglu

Department of Mechanical Engineering, Koc University, Rumelifeneri Yolu, Sariyer, Istanbul 34450, Turkeye-mail: mmuradoglu@ku.edu.tr

Seckin Gokaltun

Computational Science and Engineering Program, Informatics Institute, Istanbul Technical University, Maslak, Sariyer, Istanbul 34469, Turkeye-mail: gokaltunse@itu.edu.tr

J. Appl. Mech 71(6), 857-865 (Jan 27, 2005) (9 pages) doi:10.1115/1.1795222 History: Received August 25, 2003; Revised June 17, 2004; Online January 27, 2005
Copyright © 2004 by ASME
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References

Figures

Grahic Jump Location
Velocity vectors around a light drop rising in a straight channel for Eötvös and Morton numbers Eo=1,M=10−4 (top plots), Eo=4,M=4×10−4 (middle plots) and Eo=16,M=16×10−4 (bottom plots) at t*=9.487. Present results (left plots) are compared with the FTC2D results (right plot). Grid: 96×384, dt*=0.0316.
Grahic Jump Location
The vertical positions (left plot) and the rise velocities (right plot) of the drop centroid taken from the simulations of the light drop rising in a straight channel. Computations are performed for Eötvös numbers 1, 4, and 16. The solid lines denote the FTC2D results and the symbols are the present calculations. Grid: 96×384, dt*=0.0316.
Grahic Jump Location
Percentage change in the drop area for Eötvös numbers 1, 4, and 16 in the computations of the freely rising drop in the straight channel. Dashed curves denote the present results, and the solid curves are the FTC2D results. Grid: 96×384, dt*=0.0316.
Grahic Jump Location
Freely rising drop in a sinusoidally constricted channel. (a) A portion of the body-fitted curvilinear coarse grid containing 32×192 grid cells. (b) Snapshots taken at time frames t*=0, 9.49, 15.81, 22.14, 28.46, 31.62, 37.95, and 44.27. Time progresses from bottom to top. (c) The vertical position (top plot) and the rise velocity (bottom plot) of the drop centroid computed with the physical time steps dt*=0.3162 (dotted line), dt*=0.1581 (dashed line), and dt*=0.0791 (solid line). Eo=2,M=8×10−4, γ=0.8, ζ=1. Grid: 128×768.
Grahic Jump Location
Grid convergence analysis for the freely rising drop in the straight channel. The vertical position (left plot) and the rise velocity (right plot) of the drop centroid as a function of time computed on the body-fitted curvilinear grids containing 48×288 (solid line), 96×576 (dotted line) and 128×768 (dashed line) grid cells in the time interval t*=25 and t*=35.dt*=0.1581,Eo=4.
Grahic Jump Location
Effects of grid refinement of the front structure. Before the drop enters (left plot, time t*=12.65) and after it passes (right plot, time t*=22.14) the constriction computed on 48×288 (solid line) and 128×768 (dashed line) grids. dt*=0.1581,Eo=4. The coarse grid results in wiggles on the front while the front remains smooth in the case of the fine grid.
Grahic Jump Location
Freely rising drop in a continuously constricted channel. (a) A portion of the body-fitted curvilinear coarse grid containing 32×192 grid cells. (b) Snapshots taken at time frames t*=0, 10.33, 20.66, 30.98, 41.31, and 51.64. Time progresses from bottom to top. (c) The vertical position (top plot) and the rise velocity (bottom plot) of the drop centroid computed with the physical time step dt*=0.1291 on a 128×768 grid. Eo=18,M=8×10−4, γ=0.8, ζ=1.
Grahic Jump Location
Buoyancy-driven two-drop interaction in the continuously constricted channel. Snapshots taken at t*=0, 35.78, 53.67, 71.55, 89.44, 107.33, 125.22, 143.11, 161.00, and 178.89. Eo=2,M=8×10−4, γ=0.8 and ζ=1. Grid: 96×576, dt*=0.2236.
Grahic Jump Location
Buoyancy-driven two-drop interaction in the continuously constricted channel. The horizontal (left plot) and the vertical (right plot) positions of the (initially) left drop centroid (solid line), the (initially) right drop (dashed line), and the center of the mass of the drop system (dotted line). Eo=2,M=8×10−4, γ=0.8, ζ=1. Grid: 96×576, dt*=0.2236.
Grahic Jump Location
Buoyancy-driven two-drop interaction in the continuously constricted channel. The horizontal (left plot) and the vertical (right plot) velocities of the (initially) left drop centroid (solid line), the (initially) right drop (dashed line), and the center of the mass of the drop system (dotted line). Eo=2,M=8×10−4, γ=0.8, ζ=1. Grid: 96×576, dt*=0.2236.

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