Finite element analysis of axisymmetric oscillations of sessile liquid drops
Inviscid oscillations of sessile liquid drops are simulated by the Galerkin finite element method in conjunction with the time integrator proposed by Gresho et al. Simulations are of drops in spherical containers which are subjected to imposed oscillations of specified frequency and amplitude. Five equations govern drop response: (1) Laplace's equation for velocity potential within the drop; (2) a kinematic condition at the free surface; (3) a Bernoulli equation augmented to include gravity and capillary pressure at the free surface; (4) a kinematic condition at the solid surface; and (5) either a condition for fixed contact line or fixed contact angle. Each of these equations is modified to account for an accelerating frame of reference which moves the container. Normalized drop volume, contact angle, and gravitational Bond number are dimensionless parameters which control drop response to an imposed oscillation. Given a set of fluid properties, such as those for mercury, gravitational Bond number is uniquely defined by the container radius. Resonant frequencies and mode interaction are detected by Fourier analysis of a transient signal, such as free surface position at the pole of a spherical coordinate system. Results, especially resonant frequencies, are found to depend strongly on contact line condition. Calculation of resonant frequencies by eigenanalysis with Stewart's method is also discussed. 11 refs., 8 figs.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 5313370
- Report Number(s):
- SAND-84-2184C; CONF-850745-10; ON: DE85010089
- Resource Relation:
- Conference: 4. international conference on numerical methods in laminar and turbulent flow, Swansea, UK, 8 Jul 1985
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DROPLETS
OSCILLATIONS
SIMULATION
BERNOULLI LAW
FINITE ELEMENT METHOD
FLUID MECHANICS
GALERKIN-PETROV METHOD
IDEAL FLOW
LAPLACE EQUATION
THEORETICAL DATA
DATA
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INFORMATION
ITERATIVE METHODS
MECHANICS
NUMERICAL DATA
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLES
640410* - Fluid Physics- General Fluid Dynamics