Fluid Particle Dynamics and Stokes Drift in Gravity and Capillary Waves Generated by the Faraday Instability

1995 ◽  
pp. 141-160 ◽  
Author(s):  
Z. C. Feng ◽  
S. Wiggins
Keyword(s):  
Particle Dynamics ◽  
Capillary Waves ◽  
Fluid Particle ◽  
Stokes Drift ◽  
Faraday Instability

Two Algorithms for Solving Coupled Particle Dynamics and Flow Field Equations in Two-Phase Flows

2010 ◽  
Author(s):  
R. Kamali ◽  
S. A. Shekoohi
Keyword(s):  
Flow Field ◽  
Particle Dynamics ◽  
Fluid Particle ◽  
Navier Stokes ◽  
Test Cases ◽  
Particle Interactions ◽  
Field Equations ◽  
Two Phase ◽  
Coupled Equations ◽  
Solution Accuracy

Two methods for solving coupled particle dynamics and flow field equations simultaneously by considering fluid-particle interactions to simulate two-phase flow are presented and compared. In many conditions, such as magnetic micro mixers and shooting high velocity particles in fluid, the fluid-particle interactions can not be neglected. In these cases it is necessary to consider fluid-particle interactions and solve the related coupled equations simultaneously. To solve these equations, suitable algorithms should be used to improve convergence speed and solution accuracy. In this paper two algorithms for solving coupled incompressible Navier-Stokes and particle dynamics equations are proposed and their efficiencies are compared by using them in a computer program. The main criterion that is used for comparison is the time they need to converge for a specific accuracy. In the first algorithm the particle dynamics and flow field equations are solved simultaneously but separately. In the second algorithm in each iteration for solving flow field equations, the particle dynamics equation is also solved. Results for some test cases are presented and compared. According to the results the second algorithm is faster than the first one especially when there is a strong coupling between phases.

scholarly journals A Short Remark on Vortex as Fluid Particle from Neutrosophic Logic perspective (Towards “fluidicle” or “vorticle” model of QED.)

2020 ◽  
pp. 38-46
Author(s):  
Victor Christianto ◽  
◽  
◽  
Florentin Smarandache
Keyword(s):  
Fluid Dynamics ◽  
Maxwell Equations ◽  
Particle Dynamics ◽  
Fluid Particle ◽  
Alternative Approach ◽  
Neutrosophic Logic

In a previous paper in this journal (IJNS), it is mentioned about a possible approach to re-describe QED without renormalization route. As it is known that in literature, there are some attempts to reconcile vortex-based fluid dynamics and particle dynamics. Some attempts are not quite as fruitful as others. As a follow up to previous paper, the present paper will discuss two theorems for developing unification theories, and then point out some new proposals including by Simula (2020) on how to derive Maxwell equations in superfluid dynamics setting; this could be a new alternative approach towards “fluidicle” or “vorticle” model of QED. Further research is recommended in this new direction.

scholarly journals Faraday instability on a sphere: numerical simulation

2019 ◽  
Vol 870 ◽  
pp. 433-459 ◽  
Author(s):  
A. Ebo-Adou ◽  
L. S. Tuckerman ◽  
S. Shin ◽  
J. Chergui ◽  
D. Juric
Keyword(s):  
Body Force ◽  
Three Dimensional ◽  
Capillary Waves ◽  
Platonic Solids ◽  
Interface Motion ◽  
Spherical Drop ◽  
Low Viscosity ◽  
Faraday Instability ◽  
Viscous Drop ◽  
Time Periodic

We consider a spherical variant of the Faraday problem, in which a spherical drop is subjected to a time-periodic body force, as well as surface tension. We use a full three-dimensional parallel front-tracking code to calculate the interface motion of the parametrically forced oscillating viscous drop, as well as the velocity field inside and outside the drop. Forcing frequencies are chosen so as to excite spherical harmonic wavenumbers ranging from 1 to 6. We excite gravity waves for wavenumbers 1 and 2 and observe translational and oblate–prolate oscillation, respectively. For wavenumbers 3 to 6, we excite capillary waves and observe patterns analogous to the Platonic solids. For low viscosity, both subharmonic and harmonic responses are accessible. The patterns arising in each case are interpreted in the context of the theory of pattern formation with spherical symmetry.

Fluid particle dynamics simulation of charged colloidal suspensions

2004 ◽  
Vol 16 (10) ◽  
pp. L115-L123 ◽  
Author(s):  
Hiroya Kodama ◽  
Kimiya Takeshita ◽  
Takeaki Araki ◽  
Hajime Tanaka
Keyword(s):  
Colloidal Suspensions ◽  
Particle Dynamics ◽  
Fluid Particle ◽  
Dynamics Simulation

scholarly journals Escape probability, mean residence time and geophysical fluid particle dynamics

1999 ◽  
Vol 133 (1-4) ◽  
pp. 23-33 ◽  
Author(s):  
James R Brannan ◽  
Jinqiao Duan ◽  
Vincent J Ervin
Keyword(s):  
Residence Time ◽  
Mean Residence Time ◽  
Particle Dynamics ◽  
Fluid Particle ◽  
Escape Probability

Stocks drift and vortex instability of the potential surface wave

2021 ◽  
Author(s):  
Alexander Benilov
Keyword(s):  
Surface Wave ◽  
Drift Velocity ◽  
Potential Surface ◽  
Rotation Frequency ◽  
Fluid Particle ◽  
Stokes Drift ◽  
Vortex Instability ◽  
Classical Expression ◽  
Ocean Upper Layer ◽  
Stokes Drift Velocity

<p>It is shown that in the case of potential surface wave an exact solution of the equations of the nonlinear Lagragian’s dynamics of the fluid particle has the drift velocity as an eigenvalue. The fluid particle trajectory is a circular rotation around a center point moving with a constant drift velocity. The rotation frequency differs from the wave frequency by the Doppler’s shift caused by the drift velocity. The constant drift velocity, for the surface wave of small amplitude, coincides with the classical expression for the Stokes drift velocity.</p><p>It is also shown that in the cases with absence of the Stokes drift and with presence of the Stokes drift the vortex instability of a potential surface wave has the same futures. But the vortex temporal variability in the case of the Stokes drift is affected by the Doppler’s shift caused by the Stokes drift velocity. Hence it allows a conclusion that the vortex instability of a potential surface wave initiates turbulent mixing and Lengmure circulation in the ocean upper layer.      </p><p> </p>

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