Estimate production throughput, volumetric flow, linear specific roll force, and dynamic compaction pressure for dry granulation and pharmaceutical roll press sizing.
Agglomeration processes are ubiquitous in the process industry, be it wanted agglomeration through a process, or unwanted agglomeration like for example caking. This page is aiming at explaining what are the physical phenomena that cause agglomeration of powder particles, as such an understanding is critical to ensure that a factory is operating properly such processes as fluidized beds agglomerators, roller compactors, tablet presses, extrusion or sintering.
The total mass throughput \(Q\) of a roller compactor is mathematically governed by the volume of compacted ribbon passing through the minimum roll gap and its density:
\[ Q = \pi \cdot D \cdot W \cdot N \cdot S \cdot \rho_{ribbon} \cdot \eta_{eff} \]Where:
The specific linear force \(F_{linear}\) represents the primary scaling parameter to transfer powder blends between different pilot and manufacturing-scale roll presses:
\[ F_{linear} = \frac{F_{total}}{W} \]The estimated compaction pressure (average stress in the dynamic powder compression zone) is modeled as:
\[ P_{compaction} \approx \frac{F_{total}}{W \cdot \sqrt{D \cdot S}} \]Tablet presses, and more generally rotary punch and die presses, are used in various industries to compact powder and granulates and then produce a tablet that can be easily handled, sold, and absorbed by the customer. Those machines are of course widespread in pharma industry and also now in the growing food supplement industries.
Roller presses are used to process bulk solids (powder, granules) in order to perform a dry granulation by compaction. This page is focusing on the design of roller presses, the mechanisms behind the agglomeration of the material which goes through a roller compactor, and the different applications of this technology.
Particle agglomeration relies on several distinct physical forces: solid bridges (formed by crystallization, melting, or binders), capillary forces (due to liquid bridges), adhesive forces (electrostatic, van der Waals), and interlocking bonds. Understanding these helps engineers manipulate compaction speeds, feed pressures, and binder selections.
Throughput is directly proportional to both roll diameter and roll gap. Increasing the roll diameter allows a larger powder intake zone (larger nip angle), while a larger roll gap permits more volumetric flow but reduces overall ribbon compaction density if the compaction force is not proportionally raised. Optimization requires balancing both to prevent weak, friable granules.
Specific roll force is the total hydraulic force applied divided by the width of the compaction rolls, typically measured in kN/cm or lbf/in. It is the primary scale-up metric used to transfer formulations between laboratory-scale and commercial-scale roller compactors to maintain identical material ribbon density.