Investigation of dropwise condensation of water at atmospheric and sub-atmospheric pressure through an individual-based model

• DWC of steam at p sat = 4.2–143.3 kPa and Δ T = 5 K is investigated by numerical simulations. • A 35 % heat flux reduction is observed for saturation temperature decreasing from 110 °C to 30 °C. • Low pressure increases thermal resistance reducing heat exchanged by drops by 52%. • Wettability and thermal resistance of the coating strongly affect the heat flux. • Increasing contact angle hysteresis from 5° to 15° reduces heat flux by 15%. Steam condensation at sub-atmospheric pressure is a crucial process in a broad range of industrial applications and energy systems, such as in Rankine cycles and sorption desalination plants. Increasing the effectiveness of heat exchangers is fundamental to improve the efficiency of the whole system and a passive solution is offered by promoting dropwise condensation (DWC) instead of filmwise condensation. The few studies on DWC at sub-atmospheric pressures indicate a reduction of the condensation heat transfer coefficient (HTC) when lowering the saturation pressure. However, the extent of this reduction remains unclear, and the effect of critical parameters, such as surface wettability, coating thermal resistance, and nucleation sites density requires further clarification. This lack of knowledge is here addressed by employing an individual-based model (IBM) that exploits parallel computing to investigate the effect of sub-atmospheric saturation pressure on steam DWC. Firstly, the model is validated against measurements from the literature referring to sub-atmospheric conditions. Then, simulations are performed on a 3 × 3 mm 2 computational domain, varying saturation pressures (in the range 4.2–143.3 kPa) and nucleation sites densities ( N s ) from 10 9 m −2 to 10 11 m −2 . A decrease in HTC of 35 % is found when decreasing saturation temperature from 110 °C to 30 °C, regardless of N s . Such penalization is associated with an increase of the droplet liquid–vapor interfacial (+ 1400 %) and conduction (+ 60 %) thermal resistances. Finally, a parametric study is conducted to unveil the influence of advancing contact angle (from 50° to 130°), contact angle hysteresis (from 5° to 25°), and coating thermal resistance (in the range 0.5–8 K m 2 MW −1 ) on the DWC heat transfer at sub-atmospheric pressure.

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Publication Details

Journal
Applied Thermal Engineering
Published
2025-05-18
DOI
https://doi.org/10.1016/j.applthermaleng.2025.126892
Citations
5
Primary Topic
Fluid Dynamics and Heat Transfer
Type
article
Field-Weighted Citation Impact
6.67

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article

Investigation of dropwise condensation of water at atmospheric and sub-atmospheric pressure through an individual-based model

Stefano Bortolin, Davide Del Col, Marco Tancon, Antonio Abbatecola et al.
5 citations
Applied Thermal Engineering
Fluid Dynamics and Heat Transfer
6.67
article

Investigation of dropwise condensation of water at atmospheric and sub-atmospheric pressure through an individual-based model

Stefano Bortolin, Davide Del Col, Marco Tancon, Antonio Abbatecola, L. Fusina
article en
5 citations

Abstract

• DWC of steam at p sat = 4.2–143.3 kPa and Δ T = 5 K is investigated by numerical simulations. • A 35 % heat flux reduction is observed for saturation temperature decreasing from 110 °C to 30 °C. • Low pressure increases thermal resistance reducing heat exchanged by drops by 52%. • Wettability and thermal resistance of the coating strongly affect the heat flux. • Increasing contact angle hysteresis from 5° to 15° reduces heat flux by 15%. Steam condensation at sub-atmospheric pressure is a crucial process in a broad range of industrial applications and energy systems, such as in Rankine cycles and sorption desalination plants. Increasing the effectiveness of heat exchangers is fundamental to improve the efficiency of the whole system and a passive solution is offered by promoting dropwise condensation (DWC) instead of filmwise condensation. The few studies on DWC at sub-atmospheric pressures indicate a reduction of the condensation heat transfer coefficient (HTC) when lowering the saturation pressure. However, the extent of this reduction remains unclear, and the effect of critical parameters, such as surface wettability, coating thermal resistance, and nucleation sites density requires further clarification. This lack of knowledge is here addressed by employing an individual-based model (IBM) that exploits parallel computing to investigate the effect of sub-atmospheric saturation pressure on steam DWC. Firstly, the model is validated against measurements from the literature referring to sub-atmospheric conditions. Then, simulations are performed on a 3 × 3 mm 2 computational domain, varying saturation pressures (in the range 4.2–143.3 kPa) and nucleation sites densities ( N s ) from 10 9 m −2 to 10 11 m −2 . A decrease in HTC of 35 % is found when decreasing saturation temperature from 110 °C to 30 °C, regardless of N s . Such penalization is associated with an increase of the droplet liquid–vapor interfacial (+ 1400 %) and conduction (+ 60 %) thermal resistances. Finally, a parametric study is conducted to unveil the influence of advancing contact angle (from 50° to 130°), contact angle hysteresis (from 5° to 25°), and coating thermal resistance (in the range 0.5–8 K m 2 MW −1 ) on the DWC heat transfer at sub-atmospheric pressure.

Applied Thermal EngineeringVol. 276
University of Padua (IT)
European Commission, Ministero dell’Istruzione, dell’Università e della Ricerca, Ministero dell'Università e della Ricerca
Clean water and sanitation
Openalex Percentile: Top 3%
Fluid Dynamics and Heat Transfer
6.67
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