The theory of a vibrating-rod viscometer

Retsina, T.; Richardson, S. M.; Wakeham, W. A.

doi:10.1007/bf00540567

Cited by 114 publications

(138 citation statements)

References 8 publications

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“…A complete reworking of the theory of the vibrating-wire viscometer has been provided by Retsina et al [8] including a consideration of the conditions for its validity and all necessary corrections. Here, therefore, it is sufficient to present a summary in order to provide a background for subsequent material.…”

Section: Theory Of the Methodsmentioning

confidence: 99%

“…Here the first term represents a damped single-harmonic motion, while the second summation represents an additional decaying motion owing to an initial transient in the fluid motion [8]. A complete analysis of the transient terms in Eq.…”

Section: Theory Of the Methodsmentioning

confidence: 99%

“…(1) is not available. However, it has been shown [8] that for PIPs ~ 1, vm~O(A)~ 1 g p_m __2 P Vm~l Am Ps (2) thus the transient terms decay at the same rate as the principal oscillations but have a small amplitude. In the other extreme [-8], P/Ps ~-0(1),…”

Section: Theory Of the Methodsmentioning

confidence: 99%

“…According to Retsina et al [8] the characteristics of the oscillation in the fluid are related to the properties of the fluid by the equations…”

Section: Vm>>mentioning

confidence: 99%

“…(8) to (11), provides the means to evaluate the viscosity of the fluid from measurements of A, o9, and A o and a knowledge of p~ and R and the density of the fluid p. Equations (6) and (7) are not equivalent because they differ in their sensitivity to the viscosity I-8]. Equation (6) is always to be preferred in practice [8].…”

Section: Vm>>mentioning

confidence: 99%

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Vibrating-wire viscometers for liquids at high pressures

et al. 1992

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The design and operation of two independent vibrating-wire viscometers are described. The instruments are intended for operation in the liquid phase at pressures up to 300 MPa and have been designed specifically for this purpose using the detailed theory of the device. Extensive evidence is adduced to demonstrate that the operation of the viscometers is consistent with the theory. Although the instruments attain a precision in viscosity measurements of • when used in an absolute mode the accuracy that can be achieved is no better than __+3%. However, if the instrument is calibrated for two welldefined instrumental parameters, the uncertainty in the reported viscosity is improved to _+0.5%. The results of measurements of the viscosity of normal heptane in the temperature range 303 to 348 K at pressures up to 250 MPa made with one of the viscometers are reported. The results are shown to be totally consistent with measurements reported earlier using the instrument designed for lower pressures.

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Section: Theory Of the Methodsmentioning

confidence: 99%

Section: Theory Of the Methodsmentioning

confidence: 99%

Section: Theory Of the Methodsmentioning

confidence: 99%

“…According to Retsina et al [8] the characteristics of the oscillation in the fluid are related to the properties of the fluid by the equations…”

Section: Vm>>mentioning

confidence: 99%

Section: Vm>>mentioning

confidence: 99%

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Vibrating-wire viscometers for liquids at high pressures

et al. 1992

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Viscosity Measurement

Anderson

Bruno

Smith

2013

Handbook of Measurement in Science and Engineering

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This chapter is designed to provide detailed and practical information on methods for measuring viscosity for the nonexpert. The chapter starts with a brief theoretical and mathematical overview of viscosity and presents correlations that can be used to account for the effects of pressure and temperature. Next we describe the theory of operation and advantages and disadvantages of the major measurement methods, including drag‐type, flow‐type, and vibrational viscometers. The chapter includes tables of information on commercially available viscometers, reviews the ASTM standards for measuring viscosity, and guides the reader through a set of questions/answers that can be used to select the appropriate viscometer for a given application.

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Viscosity Measurement

Anderson

Bruno

Smith

2015

Mechanical Engineers' Handbook

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The most significant mechanical difference between materials classified as “fluids” and those classified as solids is in their reaction to shear stresses. This chapter begins by discussing the units by which viscosity is measured. Then the distinction between the larger field of rheology and its subfield viscometry is made in the context of differentiating between the so‐called Newtonian and non‐Newtonian fluids. The chapter provides a brief theoretical and mathematical overview of viscosity. It provides detailed and practical information on methods for measuring viscosity. The chapter develops the mathematical formulations governing viscosity, and explains the roles and relations between “shear” viscosity and “bulk” viscosity. It focuses on the use of laboratory‐type viscometers; however, some information is included on the use of process viscometers. The ASTM viscosity standards come in two types: (a) standards focused on methods (method standards) and (b) standards based on materials (material standards).

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The theory of a vibrating-rod viscometer

Cited by 114 publications

References 8 publications

Vibrating-wire viscometers for liquids at high pressures

Vibrating-wire viscometers for liquids at high pressures

Viscosity Measurement

Viscosity Measurement

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