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Angular circulation speed of tablets in a vibratory tablet coating pan.

Rahul Kumar¹, Carl Wassgren

¹School of Mechanical Engineering, Department of Industrial and Physical Pharmacy, Purdue University, West Lafayette, Indiana 47907, USA.

AAPS Pharmscitech

|January 18, 2013

Summary

This study developed models to predict tablet circulation speed in vibratory coating pans. Key parameters like amplitude ratio and Froude number influence speed, with Froude number above one required for circulation.

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Area of Science:

Pharmaceutical Engineering
Mechanical Engineering
Computational Fluid Dynamics

Background:

Vibratory tablet coating pans are crucial in pharmaceutical manufacturing.
Understanding tablet dynamics is essential for optimizing coating uniformity and efficiency.
Previous models often lack detailed analysis of dimensionless parameters governing tablet motion.

Purpose of the Study:

To develop and validate models for predicting tablet angular circulation speed in vibratory coating pans.
To identify key dimensionless parameters influencing tablet motion.
To investigate the transition to complex dynamic behaviors like period doubling.

Main Methods:

Development of a single tablet model.
Implementation of a discrete element method (DEM) computer simulation.
Analysis of tablet circulation speed across a range of vibration frequencies and amplitudes.

Main Results:

Identified dimensionless amplitude ratio (a/R), Froude number (aω²/g), and tablet-wall friction coefficient as critical parameters.
Angular circulation speed increases with these parameters, with diminishing returns at higher values.
Froude number > 1 is necessary for circulation; period doubling occurs at Froude number > 5.

Conclusions:

Both single tablet and DEM models effectively predict tablet circulation speed and dynamic transitions.
The single tablet model offers a simpler yet accurate alternative for predicting maximum circulation speed and period doubling.
Findings provide insights for optimizing vibratory coating pan design and operation.