The Occurrence of Growth Dispersion and Its Consequences

Janse, A. H.; Jong, E. J. de

doi:10.1007/978-1-4615-7258-9_13

Cited by 52 publications

(33 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The marginal size distribution in a MSMPR crystallizer, representing the size distribution of all crystals in the crystallizer, is calculated in Eq. 4 ŽJanse and de Jong, 1976;Berglund and Larson, 1984;Larson . et al, 1985 …”

Section: Intrinsic Growth Rate Dispersion Theorymentioning

confidence: 96%

“…The Ž bivariate distribution can be represented using Eq. 3 Janse and de Jong, 1976;Berglund and Larson, 1984;Larson et al, . 1985…”

Section: Intrinsic Growth Rate Dispersion Theorymentioning

confidence: 98%

“…f g,l with respect to size l and growth rate g, which are both Ž . continuous random variables Janse and de Jong, 1976 . The Ž bivariate distribution can be represented using Eq.…”

Section: Intrinsic Growth Rate Dispersion Theorymentioning

confidence: 99%

See 2 more Smart Citations

Using discrete distributions to analyze CSD data from MSMPR crystallizers

Jones¹

2002

AIChE Journal

View full text Add to dashboard Cite

Section: Intrinsic Growth Rate Dispersion Theorymentioning

confidence: 96%

“…The Ž bivariate distribution can be represented using Eq. 3 Janse and de Jong, 1976;Berglund and Larson, 1984;Larson et al, . 1985…”

Section: Intrinsic Growth Rate Dispersion Theorymentioning

confidence: 98%

See 1 more Smart Citation

Using discrete distributions to analyze CSD data from MSMPR crystallizers

Jones¹

2002

AIChE Journal

View full text Add to dashboard Cite

“…Two explanations for anomalous growth were explored in the 1970s and still attract attention: One links varying growth rates to crystal size (size-dependent growth) and the other to inherent crystal properties (growth-rate dispersion). Prior to work in the late 1970s (20,21), size-dependent growth had been thought to cause observed deviations from expected crystal size distributions. With some chagrin, I note an observation Tai (9) made in his PhD research that went unexplored; namely, he reported observing crystal populations that covered a significant size range resulting from his experiments on contact nucleation.…”

Section: Crystal Growthmentioning

confidence: 99%

An Autobiography of Ronald W. Rousseau

Rousseau

2018

Annu. Rev. Chem. Biomol. Eng.

View full text Add to dashboard Cite

This article provides a synopsis of my professional career, from the decision to study chemical engineering to leadership of one of the top academic programs in that field. I describe how I chose to devote my research to phenomena associated with crystallization as practiced for separation and purification and then made the transition to leader of an academic program. Embedded in the coverage are descriptions of research advances coming from exploration of secondary nucleation, especially how collisions of crystals in supersaturated environments dominate the behavior of industrially relevant crystallization processes. I recount some of the challenges associated with becoming a school chair and how the program I led grew. The story illuminates the contributions of my many mentors, colleagues, and students.

show abstract

“…The slope p did not depend on the initial seed size (10 to 500 pm) or the stirring rate in the crystallizer, and it decreased when growth rate and impurity concentration increased or when brief intervals of dissolution occurred. Janse anddeJong (1976, 1979) found growth rate dispersion important in the growth of large potassium dichromate and potassium alum crystals, and demonstrated that this phenomenon could account for upward curvature of the MSMPR crystallizer population density plots mentioned earlier. They concluded that growth rate dispersion could provide an explanation of what had been considered to be size-dependent growth, but that both phenomena could occur simultaneously; the occurrence of growth rate dispersion does not rule out the possibility that single crystal growth may be size-dependent.…”

Section: Introductionmentioning

confidence: 93%

Size‐dependent crystal growth—A manifestation of growth rate dispersion in the potassium alum‐water system

Girolami

Rousseau

1985

AIChE Journal

View full text Add to dashboard Cite

Growth of potassium alum crystals was characterized by the advance rates of crystals on the leading edge of population distributions and by the advance rates of the modes of these distributions. Growth rates of crystals on the leading edge appeared to follow size-dependent kinetics, but the observed spread of the distribution about the average size was much greater than would be expected from size-dependent growth alone. The spread of the distribution was correlated with the extent of growth determined from the net advance of the average crystal size. These quantitative and qualitative results show that what has often been referred to as size-dependent growth is in fact a manifestation of growth rate dispersion. M SCOPEBoth growth rate dispersion and size-dependent growth have been observed to occur under specific conditions in the aqueous potassium alum system. Data on this and other systems often exhibit characteristics of these growth anomalies, and it has been unclear to what extent each mechanism of growth rate variability contributes to or controls the measured growth kinetics and the development of a crystal size distribution. The importance of being able to identify the correct growth mechanism is based on the role it plays in obtaining crystallization kinetics from experimental or operating data, and on the use of such data for the design of large-scale crystallizers.The analysis of crystal size distributions to determine nucleation and growth kinetics requires a knowledge of the relationship of growth rate to crystal size. Such analyses are simple if all crystals in a population grow at identical rates and have no dependence on size. Deviations from invariant crystal growth have been noted for quite some time, but it is only recently that such deviations have been attributed to growth rate dispersion rather than size-dependent growth. Distinction between these two sources of anomalous growth is difficult because their effect on a crystal size distribution is the same: they cause a distribution to spread during growth and, for perfectly mixed crystallizers, they indicate higher nuclei population densities than would be expected for invariant crystal growth. This similarity can cause crystal size distributions obtained through one of the anomalous growth mechanisms to be misinterpreted as the result of the other. In such cases, using correlations based on the incorrect mechanism could lead to a serious errors in scale-up and design.The objectives of this study were to characterize the effects of growth rate variability on the form of developing crystal size distributions of both large and small potassium alum crystals, to separate the effects of size-dependency and growth rate dispersion, and to develop correlations of the observed behavior that could be used to analyze potassium alum systems and give qualitative guidance to the behavior of other systems. CONCLUSIONS AND SIGNIFICANCEGrowth rate variability, whether the result of size-dependent growth or growth rate dispersion, causes an increase in the s...

show abstract

The Occurrence of Growth Dispersion and Its Consequences

Cited by 52 publications

References 3 publications

Using discrete distributions to analyze CSD data from MSMPR crystallizers

Using discrete distributions to analyze CSD data from MSMPR crystallizers

An Autobiography of Ronald W. Rousseau

Size‐dependent crystal growth—A manifestation of growth rate dispersion in the potassium alum‐water system

Contact Info

Product

Resources

About