Effect of Pressure on the Viscosity of Water

Wonham, J.

doi:10.1038/2151053a0

Cited by 31 publications

(13 citation statements)

References 4 publications

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“…In regards to the exact source of the relational disagreement, it is hypothesized that the fluid viscosity is not the cause. The viscosity of both water and air possess no pressure dependence [ Sengers and Watson , 1986; Touloukian et al , 1970] at temperatures tested here ( Wonham [1967] has shown a viscosity pressure dependence in water above 33°C). The remaining fluid properties that could be associated with this discrepancy in results between air and water are density and compressibility.…”

Section: Resultsmentioning

confidence: 99%

Nonlinear single‐phase flow in real rock joints

Ranjith

Darlington

2007

Water Resources Research

114

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[1] Laboratory analysis of single-phase water and airflow through a real rock joint under increasing confining pressure was carried out in order to assess the linearity or otherwise of the Reynolds number (Re) versus pressure change relationship and to also test the applicability of Forchheimer's relation. These tests were conducted on a granitic specimen, 110 mm high and 55 mm in diameter, with a single natural fracture running the height of the specimen, which had a matrix permeability of approximately 10 À18 m 2 . The single-phase Re versus pressure change relationship using water was confirmed as being quadratic in nature. This same relationship held for single-phase airflow but only for confining pressures below around 2.0 MPa. At confining pressures !3.0 MPa the relationship shifted in form to a cubic fit. In analyzing the application of Forchheimer's transmissivity relation to single-phase water flow it was concluded that the model was appropriate for all tested confining pressures (0.55-3.0 MPa). When assessing its applicability to single-phase airflow, the model was only accurate at low-confining pressures (<1.0 MPa). Further, it was found that an increase in confining pressure shifted the Forchheimer's transmissivity curve downward.

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Section: Resultsmentioning

confidence: 99%

Nonlinear single‐phase flow in real rock joints

Ranjith

Darlington

2007

Water Resources Research

114

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“…Because the effects of pressure on both gas and liquid viscosity are very small, they were not considered in this work. The effect of pressure is more significant on surface tension than on viscosity .…”

Section: Resultsmentioning

confidence: 99%

A unified theoretical model for breakup of bubbles and droplets in turbulent flows

et al. 2014

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Pressure has a significant effect on bubble breakup, and bubbles and droplets have very different breakup behaviors. This work aimed to propose a unified breakup model for both bubbles and droplets including the effect of pressure. A mechanism analysis was made on the internal flow through the bubble/droplet neck in the breakup process, and a mathematical model was obtained based on the Young–Laplace and Bernoulli equations. The internal flow behavior strongly depended on the pressure or gas density, and based on this mechanism, a unified breakup model was proposed for both bubbles and droplets. For the first time, this unified breakup model gave good predictions of both the effect of pressure or gas density on the bubble breakup rate and the different daughter size distributions of bubbles and droplets. The effect of the mother bubble/droplet diameter, turbulent energy dissipation rate and surface tension on the breakup rate, and daughter bubble/droplet size distribution was discussed. This bubble breakup model can be further used in a population balance model (PBM) to study the effect of pressure on the bubble size distribution and in a computational fluid dynamics‐population balance model (CFD‐PBM) coupled model to study the hydrodynamic behaviors of a bubble column at elevated pressures. © 2014 American Institute of Chemical Engineers AIChE J, 61: 1391–1403, 2015

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“…In our simulation, we impose the following constraints: In particular, the viscosity coefficient  and the critical shear rate  c = (∂  / ∂ P) T −1 for the liquid-side thermal equilibrium density  = 0.495 are given by ( = 0.495 ) ≃ 1.5 × 10 −2 Pa · s,  c ≃ 2.1 × 10 9 s −1 (7) On the other hand, it is well known that the experimental value of the viscosity coefficient for pure water at ambient condition is about 1 mPa·s. The value of  c of pure water can be estimated from the pressure dependence of the viscosity, which was measured by many researchers (43)(44)(45):  c ∼ 10 12 s −1 at ambient condition.…”

Section: Spinodal Decomposition-type Gas-phase Formationmentioning

confidence: 99%

A novel physical mechanism of liquid flow slippage on a solid surface

Kurotani

Tanaka

2020

Sci. Adv.

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Viscous liquids often exhibit flow slippage on solid walls. The occurrence of flow slippage has a large impact on the liquid transport and the resulting energy dissipation, which are crucial for many applications. It is natural to expect that slippage takes place to reduce the dissipation. However, (i) how the density fluctuation is affected by the presence of the wall and (ii) how slippage takes place through forming a gas layer remained elusive. Here, we report possible answers to these fundamental questions: (i) Density fluctuation is intrinsically enhanced near the wall even in a quiescent state irrespective of the property of wall, and (ii) it is the density dependence of the viscosity that destabilizes the system toward gas-layer formation under shear flow. Our scenario of shear-induced gas-phase formation provides a natural physical explanation for wall slippage of liquid flow, covering the slip length ranging from a microscopic (nanometers) to macroscopic (micrometers) scale.

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Effect of Pressure on the Viscosity of Water

Cited by 31 publications

References 4 publications

Nonlinear single‐phase flow in real rock joints

Nonlinear single‐phase flow in real rock joints

A unified theoretical model for breakup of bubbles and droplets in turbulent flows

A novel physical mechanism of liquid flow slippage on a solid surface

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