Related Experiment Video
Updated: Aug 7, 2026

09:35
Modified MicroSecure Vitrification: A Safe, Simple and Highly Effective Cryopreservation Procedure for Human Blastocysts
Published on: March 2, 2017
Heat transfer in vial lyophilization
1AstraZeneca R&D Mölndal, Sweden. mikael.brulls@astrazeneca.com
International Journal of Pharmaceutics
|September 25, 2002
Summary
This study developed a theoretical model for heat transfer in vial lyophilization, analyzing factors like vial curvature and shelf position. The model accurately describes heat transfer and accumulation within vials during freeze-drying.
Area of Science:
- Pharmaceutical Engineering
- Bioprocess Engineering
- Chemical Engineering
Background:
- Vial lyophilization is a critical process for stabilizing pharmaceutical products.
- Understanding heat transfer dynamics is essential for optimizing lyophilization cycles.
- Existing models often lack comprehensive consideration of vial geometry and environmental factors.
Purpose of the Study:
- To develop and validate a theoretical model for heat transfer in vial lyophilization.
- To investigate the influence of various parameters on heat transfer efficiency.
- To provide a foundation for optimizing freeze-drying processes.
Main Methods:
- Experimental study of heat transfer in sealed vials containing water using a pilot-scale freeze-dryer.
- Development of a dynamic, two-dimensional axisymmetric theoretical model incorporating vial and content.
- Numerical solution of differential equations based on physical models for gas thermal conductivity, conduction, and radiation.
Main Results:
- The theoretical model accurately describes heat transfer and heat accumulation in vials.
- The model successfully predicts the dynamics of corner vials by including side heat transfer.
- Vial bottom curvature, glass heat accumulation, and corner vial sidewall heat transfer significantly influence radial heat transfer.
Conclusions:
- The developed theoretical model provides a robust tool for understanding heat transfer in vial lyophilization.
- Key parameters such as vial geometry and shelf position critically affect process efficiency.
- This work lays the groundwork for improved control and optimization of pharmaceutical freeze-drying.
Related Concept Videos
Vaporization
The physical form of a substance changes by changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. For vaporization to occur, kinetic energy must be greater than the intermolecular forces that keep molecules bonded. The amount of energy needed to vaporize a quantity of liquid at a given pressure and a constant temperature is called the heat of vaporization. When...
Heating and Cooling Curves
When a substance—isolated from its environment—is subjected to heat changes, corresponding changes in temperature and phase of the substance is observed; this is graphically represented by heating and cooling curves.
For instance, the addition of heat raises the temperature of a solid; the amount of heat absorbed depends on the heat capacity of the solid (q = mcsolidΔT). According to thermochemistry, the relation between the amount of heat absorbed or released by a substance, q, and its...
For instance, the addition of heat raises the temperature of a solid; the amount of heat absorbed depends on the heat capacity of the solid (q = mcsolidΔT). According to thermochemistry, the relation between the amount of heat absorbed or released by a substance, q, and its...
Distillation: Vapor–Liquid Equilibria
Distillation is a separation technique that takes advantage of the boiling point properties of disparate elements in a mixture. To perform distillation, we begin by heating a miscible mixture of two liquids with a significant difference in boiling points (at least 20°C). As the solution heats up and reaches the bubble point of the more volatile component, some molecules of the more volatile component transition into the gas phase and travel upward into the condenser, which is a glass tube with...
Sublimation
Sublimation is the direct transformation of a solid to a gaseous state. For instance, at standard pressure and room temperature, solid carbon dioxide sublimes to gaseous carbon dioxide. The phase diagram depicts the conditions required for sublimation. This process occurs at the solid-gas phase boundary and is not observed above the triple point of the substance. The reverse of sublimation is called deposition, where a gaseous substance condenses directly into a solid. Sublimation and...
The Joule and Joule–Thomson Experiments
Consider an adiabatic system composed of two chambers, A and B, designed such that no heat flows into or out of the system. Initially, chamber A is filled with a gas at a fixed temperature T1, pressure p1, and volume V1, while chamber B is evacuated. The gas is then gradually forced through a rigid, porous barrier to chamber B, ultimately reaching temperature T2, pressure p2, and volume V2. A piston on the right side maintains a constant pressure (p2), which is lower than p1. The significant...
In Vitro Drug Dissolution: Compendial Testing Models II
Various dissolution methods are utilized to assess a drug’s dissolution rate, including the flow-through cell, paddle-over-disk, cylinder, and reciprocating disk methods.The flow-through cell apparatus (USP (United States Pharmacopeia) method 4) comprises a reservoir for the dissolution medium and a pump that propels the medium through the cell containing the test sample. This method is crucial for assessing modified-release dosage forms with minimally soluble active ingredients, maintaining...

