The Viscosity of Liquids

The classical problem of thermal-convection involving the classical Navier-Stokes fluid with a constant or temperature dependent viscosity, within the context of the OberbeckBoussinesq approximation, is one of the most intensely studied problems in fluid mechanics. In this paper, we study thermal-convection in a fluid with a viscosity that depends on both the temperature and pressure, within the context of a generalization of the Oberbeck-Boussinesq approximation. Assuming that the viscosity is an analytic function of the temperature and pressure we study the linear as well as the non-linear stability of the problem of RayleighBénard convection. We show that the principle of exchange of stability holds and the Rayleigh numbers for the linear and non-linear stability coincide.

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“…Later, Andrade (1930) suggested the following expression for the viscosity µ(p, ρ, θ) = Aρ 1/2 exp (p + ρr 2 ) s T ,…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of the Rayleigh–Bénard convection for a fluid with temperature and pressure dependent viscosity

Rajagopal

Saccomandi

Vergori

2009

Z. Angew. Math. Phys.

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“…13 This energy barrier must be overcome before the self-diffusive flow process in the solvent can occur. The E a,© is determined to be 16.72, 16.59, 11.76, and 10.62 kJ mol ¹1 for E2FEC, 2FPMC, DEC, and MPC, respectively.…”

Section: Methyl Propyl Carbonate (Mpc)mentioning

confidence: 99%

Structural Isomerism Effect on Physical and Electrochemical Properties of Monofluorinated Linear Carbonates

et al. 2012

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Methyl propyl carbonate (MPC) shows a liquid temperature range that is wider than that of diethyl carbonate (DEC). Monofluorinated organic solvents exert the strong polar effect on the physical and the electrochemical properties. 2-Fluoropropyl methyl carbonate (2FPMC) and ethyl 2-fluoroethyl carbonate (E2FEC) are isomeric with each other. The relative permittivity and viscosity of 2FPMC were higher than those of E2FEC, MPC, and DEC. The ionic conductivity of 1 mol dm −3 LiPF 6 solution in 2FPMC was lower than those in E2FEC, MPC, and DEC. The use of 2FPMC as a co-solvent greatly improved cycling efficiency of a lithium anode.

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“…[1][2][3][4][5] The usual approach to obtaining a viscosity-temperature relationship is to find an equation for dη/dt as a function of temperature or viscosity. Thus, upon integration, an expression for viscosity variation with temperature is found.…”

Section: Introductionmentioning

confidence: 99%

A new focus on the Walther equation for lubricant viscosity determination

Sánchez-Rubio

Chiñas‐Castillo

Ruiz-Aquino

et al. 2006

Lubrication Science

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Lubricants are widely used in industrial machinery in order to separate solid tribological surfaces and support high loads under severe conditions. In tribological contacts, viscosity plays an important role in the film-forming abilities of the lubricant, but this property is strongly dependent on temperature. Consequently, small variations in temperature cause appreciable variations in the viscosity of lubricating oils. For this reason it is of practical value to be able to predict viscosity changes with temperature. This paper presents a new focus on the Walther equation to determine the viscosity of commercial lubricants at different temperatures. This new approach provides very good correlation with experimental measurements.

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The Viscosity of Liquids

Cited by 429 publications

References 0 publications

Stability analysis of the Rayleigh–Bénard convection for a fluid with temperature and pressure dependent viscosity

Stability analysis of the Rayleigh–Bénard convection for a fluid with temperature and pressure dependent viscosity

Structural Isomerism Effect on Physical and Electrochemical Properties of Monofluorinated Linear Carbonates

A new focus on the Walther equation for lubricant viscosity determination

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