Squeeze Film Force Modeling with Considering Slip and Inertia Effects Between Hydrophobic Surfaces Within Submillimeter Clearance

Li, Xueping; Han, Bin; Chen, Xuedong; Luo, Xuelai; Jiang, Wei

doi:10.1007/s11249-020-01320-x

Cited by 2 publications

(3 citation statements)

References 21 publications

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“…Researchers usually treat water as an incompressible fluid in their squeeze film models. [24][25][26] However, the compressibility of water must be considered when the water pressure changes rapidly, such as during the water hammer phenomenon when the valve in a pressure pipe is opened or closed quickly. 27) Because the vibration frequency in underwater NFAL (tens of kilohertz) is significantly higher than in these squeeze film models [24][25][26] (several to several tens of Hertz), the fluid's compressibility must be considered and discussed for underwater NFAL.…”

Section: Introductionmentioning

confidence: 99%

“…[24][25][26] However, the compressibility of water must be considered when the water pressure changes rapidly, such as during the water hammer phenomenon when the valve in a pressure pipe is opened or closed quickly. 27) Because the vibration frequency in underwater NFAL (tens of kilohertz) is significantly higher than in these squeeze film models [24][25][26] (several to several tens of Hertz), the fluid's compressibility must be considered and discussed for underwater NFAL. Consequently, theoretical analysis models of underwater NFAL are developed for incompressible and compressible fluids based on the fluid film lubrication theory.…”

Section: Introductionmentioning

confidence: 99%

“…Consequently, the squeeze film pressure profile depends only on the r-coordinate, so the levitation system may be considered one-dimensional. Many researchers 26,29) have adopted fluid film lubrication theory to investigate the squeeze film pressure distribution. In this theory, water is a Newtonian fluid, and the flow is assumed to be laminar and isothermal.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of the levitation force generated by underwater squeeze action

Liu

Zhang

Chen

2023

Jpn. J. Appl. Phys.

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Previous research has experimentally demonstrated the feasibility of near-field acoustic levitation (NFAL) in water. This paper proposes an analytical model of underwater NFAL to study its levitation performance. At first, the fluid’s compressibility must be determined because it is significant to the model’s accuracy. Therefore, the Reynolds equations describing the film pressure distribution are deduced based on fluid film lubrication theory for incompressible and compressible fluids. The calculated squeeze film forces for each case are compared with experimental observations from the literature to confirm the fluid’s compressibility. The comparison results show that the theoretical numerical results under the compressible condition are closer than the incompressible condition to the experimental data. Further numerical results show that increasing the water temperature decreases the mean squeeze film force when the water temperature is higher than 20°C. In addition, the mean squeeze film force is increased by increasing the vibration amplitude.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of the levitation force generated by underwater squeeze action

Liu

Zhang

Chen

2023

Jpn. J. Appl. Phys.

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Squeeze force of a Maxwell fluid between circular smooth surfaces with simple harmonic motion

Mederos,

Bautista,

Méndez

et al. 2024

Physics of Fluids

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The force and mechanical power required to maintain the simple harmonic motion (SHM) of the upper circular surface squeezing a viscoelastic fluid film is analyzed. The amplitude of the displacement of the upper surface is very small compared to the gap width as a function of time. The smoothness of the upper and lower surfaces is characterized by the slip model with two constant parameters, a slip length and a critical surface shear stress. The nonlinear convection terms in the momentum equation are neglected since the viscous forces dominate the inertial forces. The acceleration and deceleration terms are retained since the upper plate oscillates harmonically and the velocity in the fluid is strictly periodic. An exact solution of the governing equations is found as a function of the Deborah number, the Womersley number, the slip length, and the critical surface shear stress. A circular region without slip condition, bounded by a time-dependent radius, appears when the shear stress of the fluid does not exceed a critical surface shear stress. In addition, an annular region with slip up to the radius of the disk appears when the critical surface shear stress is exceeded. Our results show that viscoelastic and hydrophobic effects together with the Womersley number and a critical surface stress cause changes in the amplitude and phase lag of the waveform of the time-dependent radius and the force acting on the wall surface to maintain the SHM of the upper disk.

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Squeeze Film Force Modeling with Considering Slip and Inertia Effects Between Hydrophobic Surfaces Within Submillimeter Clearance

Cited by 2 publications

References 21 publications

Theoretical investigation of the levitation force generated by underwater squeeze action

Theoretical investigation of the levitation force generated by underwater squeeze action

Squeeze force of a Maxwell fluid between circular smooth surfaces with simple harmonic motion

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