Inverse optimization of spray drying by surrogate models trained on frozen-field CFD simulations

Spray dryers are highly dynamic systems in which complex airflow patterns, heat and mass transfer, and particle motion interact across multiple length and time scales. Accurately resolving these interactions with fully transient CFD-DPM simulations is computationally expensive, limiting their use for process optimization. This study addresses this challenge by developing and validating a frozen time-averaged airflow CFD-DPM approach for a co-current spray dryer and embedding it within a surrogate-based inverse optimization framework. Compared to fully transient simulations, the frozen airflow approach reproduces key product outputs with comparable accuracy while reducing computational time from approximately 72 hours to 15 minutes, corresponding to a speedup close to 300 for a pilot-scale co-current spray dryer. The workflow is used to train a polynomial surrogate model embedded in an inverse optimization framework. The differences between surrogate and CFD-DPM results remain small, with mean particle temperature deviations below 2 °C, particle diameter differences under 1.2 µm, moisture discrepancies below 0.024 kg kg⁻¹, and product yield differences below 0.01. The proposed framework can be used as a practical tool for examining the operating input space and for rapid spray dryer optimization without the need for expensive computational hardware. • Frozen airflow CFD reproduces transient spray dryer results with high accuracy. • Re-using frozen airflows reduces CFD runtime from days to minutes. • Particle properties are predicted accurately using time-averaged air fields. • Polynomial surrogate models capture CFD trends across operating conditions. • Surrogate-based inverse optimization enables rapid spray dryer design.

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Publication Details

Journal
Process Safety and Environmental Protection
Published
2026-01-16
DOI
https://doi.org/10.1016/j.cherd.2026.01.036
Primary Topic
Microencapsulation and Drying Processes
Type
article
Field-Weighted Citation Impact
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article

Inverse optimization of spray drying by surrogate models trained on frozen-field CFD simulations

Krist V. Gernaey, Ulrich Willi Walter Kruhne, Nikolai A. Jessen, Alexander Findeisen
Process Safety and Environmental Protection
Microencapsulation and Drying Processes
article

Inverse optimization of spray drying by surrogate models trained on frozen-field CFD simulations

Krist V. Gernaey, Ulrich Willi Walter Kruhne, Nikolai A. Jessen, Alexander Findeisen
article en

Abstract

Spray dryers are highly dynamic systems in which complex airflow patterns, heat and mass transfer, and particle motion interact across multiple length and time scales. Accurately resolving these interactions with fully transient CFD-DPM simulations is computationally expensive, limiting their use for process optimization. This study addresses this challenge by developing and validating a frozen time-averaged airflow CFD-DPM approach for a co-current spray dryer and embedding it within a surrogate-based inverse optimization framework. Compared to fully transient simulations, the frozen airflow approach reproduces key product outputs with comparable accuracy while reducing computational time from approximately 72 hours to 15 minutes, corresponding to a speedup close to 300 for a pilot-scale co-current spray dryer. The workflow is used to train a polynomial surrogate model embedded in an inverse optimization framework. The differences between surrogate and CFD-DPM results remain small, with mean particle temperature deviations below 2 °C, particle diameter differences under 1.2 µm, moisture discrepancies below 0.024 kg kg⁻¹, and product yield differences below 0.01. The proposed framework can be used as a practical tool for examining the operating input space and for rapid spray dryer optimization without the need for expensive computational hardware. • Frozen airflow CFD reproduces transient spray dryer results with high accuracy. • Re-using frozen airflows reduces CFD runtime from days to minutes. • Particle properties are predicted accurately using time-averaged air fields. • Polynomial surrogate models capture CFD trends across operating conditions. • Surrogate-based inverse optimization enables rapid spray dryer design.

Process Safety and Environmental ProtectionVol. 226
Novo Nordisk (Denmark) (DK), Novo Holdings (Denmark) (DK), Technical University of Denmark (DK)
Openalex Percentile: Top 87%
Microencapsulation and Drying Processes
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Inverse optimization of spray drying by surrogate models trained on frozen-field CFD simulations — Krist V. Gernaey, Ulrich Willi Walter Kruhne, et al. · Process Safety and Environmental Protection (2026) | TGRS Research Map | TGRS