scholarly journals Effects of residual stress and fluid loading on vibrations of a micro-diaphragm on a free fluid surface

AIP Advances ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 025128
Author(s):  
Shujun Ma
Keyword(s):  
Residual Stress ◽  
Free Fluid ◽  
Fluid Loading ◽  
Fluid Surface ◽  
Free Fluid Surface

On Nonlinear Dynamics in a Free Fluid Surface of a Tank Excited by a Non-Ideal Power Source

2011 ◽  
Author(s):  
H. A. Navarro ◽  
J. M. Balthazar ◽  
F. R. Chavarette ◽  
T. S. Krasnopolskaya ◽  
A. Yu. Shvets
Keyword(s):  
Electric Motor ◽  
Nonlinear Oscillations ◽  
Fluid Dynamic ◽  
Equation System ◽  
Power Source ◽  
Free Fluid ◽  
Differential Equation System ◽  
Fluid Surface ◽  
Limited Power ◽  
Free Fluid Surface

We investigate the nonlinear oscillations in a free surface of a fluid in a cylinder tank excited by non-ideal power source, an electric motor with limited power supply. We study the possibility of parametric resonance in this system, showing that the excitation mechanism can generate chaotic response. Additionally, the dynamics of parametrically excited surface waves in the tank can reveal new characteristics of the system. The fluid-dynamic system is modeled in such way as to obtain a nonlinear differential equation system. Numerical experiments are carried out to find the regions of chaotic solutions. Simulation results are presented as phase-portrait diagrams characterizing the resonant vibrations of free fluid surface and the existence of several types of regular and chaotic attractors. We also describe the energy transfer in the interaction process between the hydrodynamic system and the electric motor.

Breakdown of a Discontinuity of the Free Fluid Surface over a Bottom Step in a Channel

2003 ◽  
Vol 38 (6) ◽  
pp. 889-899 ◽  
Author(s):  
V. I. Bukreev ◽  
A. V. Gusev ◽  
V. V. Ostapenko
Keyword(s):  
Free Fluid ◽  
Fluid Surface ◽  
Free Fluid Surface ◽  
Bottom Step

Disturbance of a free fluid surface by a hydrofoil profile

2004 ◽  
Vol 39 (6) ◽  
pp. 972-978
Author(s):  
V. I. Boyarintsev ◽  
A. K. Lednev ◽  
A. S. Prudnikov ◽  
A. S. Savin ◽  
E.O. Savina
Keyword(s):  
Free Fluid ◽  
Fluid Surface ◽  
Free Fluid Surface

Numerical and theoretical solutions for a drop spreading below a free fluid surface

1995 ◽  
Vol 287 ◽  
pp. 251-278 ◽  
Author(s):  
Dorothy M. Koch ◽  
Donald L. Koch
Keyword(s):  
Asymptotic Solution ◽  
Numerical Solutions ◽  
Gravity Currents ◽  
Boundary Integral ◽  
Free Fluid ◽  
Drop Spreading ◽  
Fluid Surface ◽  
Low Viscosity ◽  
Viscosity Contrast ◽  
Free Fluid Surface

Numerical solutions are derived for a viscous, buoyant drop spreading below a free fluid surface. The drop has zero interfacial tension, and we consider viscosity contrasts 0.1 < λ < 10 with the surrounding fluid half-space. The density contrast between the drop and outer fluid is assumed to be small compared with the density contrast at the fluid surface. The numerical solutions for the approach and initial spread of the drop below the fluid surface are obtained using the boundary integral method. To facilitate an investigation over a larger range of viscosity contrasts and for longer time periods, we solve for the motion of gravity currents at the fluid surface. For this geometry we also solve the boundary integral equations for the cases λ = 0 and 1/λ = 0.For extensive drop spreading, the motion is described by asymptotic solutions. Three asymptotic solutions are derived, which apply for different values of the viscosity contrast relative to the aspect ratio ((radial extent R)/(drop thickness a)). For very low-viscosity drops (λ [Lt ] a/R[ln(R/a)]-1), the greatest resistance to spreading occurs at the drop rim, and the asymptotic solution is found using slender body theory. Drops with intermediate viscosity contrast (a/R [Lt ] λ [Lt ] R/a) are slowed primarily by shear stresses at the lower drop surface, and a lubrication solution (Lister & Kerr 1989) applies. The greatest resistance to the spread of very viscous drops (λ [Gt ] R/a) comes from the radial stresses within the drop, and the asymptotic solution is independent of the outer fluid. All drops having 0 [Lt ] λ [Lt ] ∞ will eventually spread according to lubrication theory, when their aspect ratio becomes sufficiently large relative to viscosity contrast.Theoretical results are compared with numerical and experimental results for drops and gravity currents spreading at a fluid surface. The solutions can be applied to aspects of planetary mantle flow where temperature variations cause significant viscosity contrasts. The low-viscosity solution has been applied to study the encounter of a hot, low-viscosity upwelling plume with a planet surface (Koch 1994). Here we apply the high-viscosity asymptotic solution to study how cold downwelling slabs spread at a depth of neutral buoyancy in the Earth's mantle.

Disturbance of a free fluid surface by a hydrofoil profile

2004 ◽  
Vol 39 (6) ◽  
pp. 972-978
Author(s):  
V. I. Boyarintsev ◽  
A. K. Lednev ◽  
A. S. Prudnikov ◽  
A. S. Savin ◽  
E. O. Savina
Keyword(s):  
Free Fluid ◽  
Fluid Surface ◽  
Free Fluid Surface

Simulation of of 3D Flood Waves by Gas-Liquid Two-Phase Model

2012 ◽  
Vol 256-259 ◽  
pp. 2621-2624
Author(s):  
W.L. Wei ◽  
X.J. Zhao ◽  
Y. L. Liu
Keyword(s):  
Dam Break ◽  
Phase Model ◽  
Free Fluid ◽  
Simple Type ◽  
Two Phase ◽  
Flow Equations ◽  
Model Combining ◽  
Volume Method ◽  
Free Fluid Surface ◽  
Flood Waves

This paper is concerned with a gas-liquid two-phase model combining with the k–ε turbulent model for numerical simulation of 3D flood waves due to complete or partial dam-break. The flow equations are solved with the finite volume method and solved by the pressure-correction algorithm of the SIMPLE-type. The free fluid surface is simulated by the the volume of fluid(VOF) method. The comparisons with other numerical results show that the proposed method is accurate, reliable and effective in simulation of dam-break flood waves.

Large Eddy Simulation of Gas-Liquid Two-Phase Flow for a Nested Type Fixed-Cone Valve

2012 ◽  
Vol 170-173 ◽  
pp. 2458-2463
Author(s):  
Y.L. Liu ◽  
B. Lv ◽  
W.L. Wei
Keyword(s):  
Large Eddy Simulation ◽  
Turbulent Flows ◽  
Free Fluid ◽  
Step Method ◽  
Fractional Step Method ◽  
Two Phase ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Volume Method ◽  
Free Fluid Surface

large eddy simulation cooperated with a physical fractional-step method is applied to simulate steady flow around a nested type fixed-cone valve; and the equations are solved with the finite volume method. The free fluid surface is simulated by the VOF method. The pressure contours and vorticity magnitude are obtained. The modeling results conform to physical law, and show that the large eddy simulation theory has powerful capacity in simulation of microstructures of turbulent flows, and the function of the nested type fixed-cone valve for energy dissipating is good.

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