A Monte Carlo method for simulating dispersion and transport through horizontal rotating cylinders

Rogers, R.S.C.; Gardner, R.P.

doi:10.1016/0032-5910(79)87002-3

Cited by 19 publications

(11 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The model was similar to the one developed by Rogers and Gardner. 14 16 proposed different variations of models similar to Black's. These models vary in the way the randomness of the radial position is treated.…”

Section: Introductionmentioning

confidence: 99%

Modeling weight variability in a pan coating process using Monte Carlo simulations

2006

View full text Add to dashboard Cite

The primary objective of the current study was to investigate process variables affecting weight gain mass coating variability (CV m ) in pan coating devices using novel videoimaging techniques and Monte Carlo simulations. Experimental information such as the tablet location, circulation time distribution, velocity distribution, projected surface area, and spray dynamics was the main input to the simulations. The data on the dynamics of tablet movement were obtained using novel video-imaging methods. The effects of pan speed, pan loading, tablet size, coating time, spray flux distribution, and spray area and shape were investigated. CV m was found to be inversely proportional to the square root of coating time. The spray shape was not found to affect the CV m of the process significantly, but an increase in the spray area led to lower CV m s. Coating experiments were conducted to verify the predictions from the Monte Carlo simulations, and the trends predicted from the model were in good agreement. It was observed that the Monte Carlo simulations underpredicted CV m s in comparison to the experiments. The model developed can provide a basis for adjustments in process parameters required during scale-up operations and can be useful in predicting the process changes that are needed to achieve the same CV m when a variable is altered.

show abstract

Section: Introductionmentioning

confidence: 99%

Modeling weight variability in a pan coating process using Monte Carlo simulations

2006

View full text Add to dashboard Cite

show abstract

“…Zu diesen Modellen zählen u. a. die Ende der 70-iger Jahre entwickelten Ansätze von Austin [33] sowie von Rogers und Gardener [31].…”

Section: Maximum-gradienten-modelleunclassified

Mathematische Modellierung und experimentelle Untersuchungen zur Pyrolyse von Abfällen in Drehrohrsystemen

Gehrmann

Beckmann

Fontana

2005

Chemie Ingenieur Technik

View full text Add to dashboard Cite

“…For a horizontal bed there is no geometric axial dispersion. Rogers and Gardner [24] used a Monte Carlo method to calculate RTDs to compare to experimental data. Probability distributions were used to choose how far each particle travelled in an avalanche, and how the direction of its path deviated from that given by the line of steepest descent.…”

Section: Introductionmentioning

confidence: 99%

Modelling axial dispersion of granular material in inclined rotating cylinders with bulk flow

Third

Scott

et al. 2015

Granular Matter

View full text Add to dashboard Cite

The axial dispersion of approximately monosized particles in rolling mode in rotating cylinders with bulk flow is examined using a Monte Carlo model and discrete element method (DEM) simulations. The Monte Carlo model predicts that the mean square displacement relative to the mean axial displacement of the bed undergoes oscillations in time. The nature of these oscillations depends on the fill level of the cylinder and the extent of particle mixing during avalanches. When the cylinder is half full the Monte Carlo model predicts undamped oscillations, whereas a filling fraction of 0.26 produces oscillations whose amplitude decreases with time. If mixing during avalanches is assumed to be perfect then the oscillations occur about a linear increase with time. In contrast, if it is assumed that the particles do not mix during avalanching, the oscillations occur about an increase with time which has a gradient which increases with time. There is good qualitative agreement between the Monte Carlo model with perfect mixing and the DEM when the filling fraction is 0.26. For a filling fraction of 0.5 the DEM data show oscillations about a faster than linear increase with time.

show abstract

A Monte Carlo method for simulating dispersion and transport through horizontal rotating cylinders

Cited by 19 publications

References 5 publications

Modeling weight variability in a pan coating process using Monte Carlo simulations

Modeling weight variability in a pan coating process using Monte Carlo simulations

Mathematische Modellierung und experimentelle Untersuchungen zur Pyrolyse von Abfällen in Drehrohrsystemen

Modelling axial dispersion of granular material in inclined rotating cylinders with bulk flow

Contact Info

Product

Resources

About