Evaluation of Errors of Optical Origin Arising in the Size Analysis of a Dispersion by Light Transmission*

Boll, R.; Sliepcevich, C. M.

doi:10.1364/josa.46.000200

Cited by 11 publications

(7 citation statements)

References 3 publications

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“…The results for the chloroform-ethanol system are shown in Figure 1. Light transmission is a well-developed technique for determining particle size in dispersions (Rose and Lloyd, 1946;Boll and Sliepcevich, 1956;Dobbins and Jizmagian, 1966), and it has often been adopted for measurement of interfacial area in liquid-liquid and gas-liquid dispersions (Calderbank, 1958;Lee and Ssali, 1971; Trice and Rodger, 1956). The theory for the attenuation of the light beam has been given by a number of workers (Rose and Lloyd, 1946;Calderbank, 1958…”

Section: (18) (19)mentioning

confidence: 99%

“…May, 1977 matt black paper tubes to reduce the scattered light reaching the detector to a low level. It is not possible to completely exclude scattered light from the detector (Boll and Sliepcevich, 1956;Lothian and Chappel, 1951), aiid it is generally considered sufficient to ensure that the half angle subtended by the detector at the dispersion is less than about 1.4 deg. In this work the half angle was 1.15 deg.…”

Section: Page 396mentioning

confidence: 99%

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Light transmission through bubble swarms

Lockett

Safekourdi

1977

AIChE Journal

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In these calculations, we assumed the virial equation of 2 ' = 1 + BP, where B = ylB11 + y2B22 + tjly2812 state (18) (19) for the vapor phase, and UL = x 1 q L + x& for the liquid phase. The P-x data were correlated with polynomials or spline fits as shown in Table 1. I n each of the four cases, convergence was sensitive to the value of p k (the convergence parameter) and to the nature of the P-x equation chosen to fit the data. However, after several trials, each case was satisfactorily solved.The results for the chloroform-ethanol system are shown in Figure 1.

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Section: (18) (19)mentioning

confidence: 99%

Section: Page 396mentioning

confidence: 99%

Light transmission through bubble swarms

Lockett

Safekourdi

1977

AIChE Journal

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“…This causes the light detector to receive an excess amount of light. However, by the same reasoning as that given for forward scattering, the error introduced by multiple scattering will be minimized if the light detector has a high angular resolution (Boll and Sliepcevich, 1956;Sheppard, 1958). Thus, with proper construction of the light detector, the effects of multiple scattering and forward scattering will not be significant, and the scattering cross section of the drops will equal the geometric cross section.…”

Section: A T H E M a T I C A L M O D E L Of Light T R A N S M I S Smentioning

confidence: 99%

Interfacial areas of liquid‐liquid dispersions from light transmission measurements

McLaughlin

Rushton

1973

AIChE Journal

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A mathematical model simulating light transmission through liquid‐liquid dispersions has been developed. Numerical solutions of the model for various drop size distributions show that the fraction of parallel light which passes through a dispersion is a unique function of a dimensionless group, here named the Transmission Number, regardless of the drop size distribution. The results, which were verified by actual light transmission experiments, show that the interfacial area of a liquid‐liquid dispersion can be calculated from a light reading provided that the light detector receives only parallel light. Application of the results to other two‐phase dispersions is indicated.

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“…x {la,I 2 + Ib,12}, [23] where a, and b, are complex functions of a and m. Except for small, a < 0.6, and large, a > 25.0, particles, Eq. [23] should be used to accurately calculate Q. Scattering coefficients for colloidal systems are tabulated quite extensively in the literature (13)(14)(15). For small and large particles, approximation formulas, which are accurate within at least 1% of the values calculated from Eq.…”

Section: Efo 3o4mentioning

confidence: 99%

Turbidimetric determination of particle size distributions of colloidal systems

Melik

Fogler

1983

Journal of Colloid and Interface Science

121

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Application of the Mie theory of light scattering to measurements of the turbidity ratio and the wavelength exponent provides an easy method for estimating particle size distributions of nonabsorbing isotropic spheres in the micrometer to submicrometer range. Combining both these lightscattering techniques not only allows one to analyze particle sizes which are too large for quasi-elastic light scattering and too small for optical microscopy, but can be accomplished with only two turbidity measurements and no prior knowledge of the particle volume fraction. An algorithm is presented for constructing turbidity spectra, for any system of known optical constants and known distributional form, which can be used to easily determine the mean diameter and standard deviation of an unknown distribution. Using this algorithm, size-distribution curves were obtained from turbidity measurements at two widely separated wavelengths. These distributions are in agreement with distributions determined from scanning electron microscopic analysis.

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Evaluation of Errors of Optical Origin Arising in the Size Analysis of a Dispersion by Light Transmission*

Cited by 11 publications

References 3 publications

Light transmission through bubble swarms

Light transmission through bubble swarms

Interfacial areas of liquid‐liquid dispersions from light transmission measurements

Turbidimetric determination of particle size distributions of colloidal systems

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