Numerical Investigation and Optimization of Transpiration Cooling Plate Structures with Combined Particle Diameter

Transpiration cooling is an efficient thermal protection technology used for scramjet combustors and other components. However, a conventional transpiration cooling plate structure with uniform porous media distribution suffers from a large temperature difference between the upstream and downstream...

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Main Authors: Dan Wang, Yaxin Liu, Xiang Zhang, Mingliang Kong, Hanchao Liu
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/11/2950
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author Dan Wang
Yaxin Liu
Xiang Zhang
Mingliang Kong
Hanchao Liu
author_facet Dan Wang
Yaxin Liu
Xiang Zhang
Mingliang Kong
Hanchao Liu
author_sort Dan Wang
collection DOAJ
description Transpiration cooling is an efficient thermal protection technology used for scramjet combustors and other components. However, a conventional transpiration cooling plate structure with uniform porous media distribution suffers from a large temperature difference between the upstream and downstream surfaces and high coolant injection pressure (<i>p</i>). To enhance the overall cooling effect and reduce the maximum surface temperature and coolant injection pressure, the combined particle diameter plate structure (CPD−PS) is proposed. Numerical simulations show that compared with the single-particle diameter plate structure (SPD−PS), the CPD−PS with a larger upstream particle diameter (<i>d<sub>p</sub></i>) than that of the downstream (<i>d<sub>p</sub></i><sub>A</sub> > <i>d<sub>p</sub></i><sub>B</sub>) can effectively reduce the upstream temperature and improve average cooling efficiency (<i>η</i><sub>ave</sub>). Meanwhile, gradually increasing <i>d<sub>p</sub></i> will increase the permeability of porous media, reduce coolant flow resistance, and thus lower coolant injection pressure. An optimization analysis of CPD−PS is conducted using response surface methodology (RSM), and the influence of design variables on the objective function (<i>η</i><sub>ave</sub> and <i>p</i>) is analyzed. Further optimization with the multi-objective genetic algorithm (MOGA) determines the optimal structural parameters. The results suggest that porosity (<i>ε</i>) and <i>d<sub>p</sub></i> are the most crucial parameters affecting <i>η</i><sub>ave</sub> and <i>p</i> of CPD−PS. After optimization, the maximum temperature of the porous plate is significantly reduced by 8.40%, and the average temperature of the hot end surface is also reduced. The overall cooling performance is effectively improved, <i>η</i><sub>ave</sub> is increased by 6.02%, and <i>p</i> is significantly reduced. Additionally, the upstream surface velocity of the optimized structure changes and the boundary layer thickens, which enhances the thermal insulation effect.
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institution Kabale University
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series Energies
spelling doaj-art-e70cd7c4a573415d95ebf61e14d1115e2025-08-20T03:46:52ZengMDPI AGEnergies1996-10732025-06-011811295010.3390/en18112950Numerical Investigation and Optimization of Transpiration Cooling Plate Structures with Combined Particle DiameterDan Wang0Yaxin Liu1Xiang Zhang2Mingliang Kong3Hanchao Liu4School of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou 450001, ChinaTranspiration cooling is an efficient thermal protection technology used for scramjet combustors and other components. However, a conventional transpiration cooling plate structure with uniform porous media distribution suffers from a large temperature difference between the upstream and downstream surfaces and high coolant injection pressure (<i>p</i>). To enhance the overall cooling effect and reduce the maximum surface temperature and coolant injection pressure, the combined particle diameter plate structure (CPD−PS) is proposed. Numerical simulations show that compared with the single-particle diameter plate structure (SPD−PS), the CPD−PS with a larger upstream particle diameter (<i>d<sub>p</sub></i>) than that of the downstream (<i>d<sub>p</sub></i><sub>A</sub> > <i>d<sub>p</sub></i><sub>B</sub>) can effectively reduce the upstream temperature and improve average cooling efficiency (<i>η</i><sub>ave</sub>). Meanwhile, gradually increasing <i>d<sub>p</sub></i> will increase the permeability of porous media, reduce coolant flow resistance, and thus lower coolant injection pressure. An optimization analysis of CPD−PS is conducted using response surface methodology (RSM), and the influence of design variables on the objective function (<i>η</i><sub>ave</sub> and <i>p</i>) is analyzed. Further optimization with the multi-objective genetic algorithm (MOGA) determines the optimal structural parameters. The results suggest that porosity (<i>ε</i>) and <i>d<sub>p</sub></i> are the most crucial parameters affecting <i>η</i><sub>ave</sub> and <i>p</i> of CPD−PS. After optimization, the maximum temperature of the porous plate is significantly reduced by 8.40%, and the average temperature of the hot end surface is also reduced. The overall cooling performance is effectively improved, <i>η</i><sub>ave</sub> is increased by 6.02%, and <i>p</i> is significantly reduced. Additionally, the upstream surface velocity of the optimized structure changes and the boundary layer thickens, which enhances the thermal insulation effect.https://www.mdpi.com/1996-1073/18/11/2950porous platetranspiration coolingparticle diameterinjection pressurecooling performance
spellingShingle Dan Wang
Yaxin Liu
Xiang Zhang
Mingliang Kong
Hanchao Liu
Numerical Investigation and Optimization of Transpiration Cooling Plate Structures with Combined Particle Diameter
Energies
porous plate
transpiration cooling
particle diameter
injection pressure
cooling performance
title Numerical Investigation and Optimization of Transpiration Cooling Plate Structures with Combined Particle Diameter
title_full Numerical Investigation and Optimization of Transpiration Cooling Plate Structures with Combined Particle Diameter
title_fullStr Numerical Investigation and Optimization of Transpiration Cooling Plate Structures with Combined Particle Diameter
title_full_unstemmed Numerical Investigation and Optimization of Transpiration Cooling Plate Structures with Combined Particle Diameter
title_short Numerical Investigation and Optimization of Transpiration Cooling Plate Structures with Combined Particle Diameter
title_sort numerical investigation and optimization of transpiration cooling plate structures with combined particle diameter
topic porous plate
transpiration cooling
particle diameter
injection pressure
cooling performance
url https://www.mdpi.com/1996-1073/18/11/2950
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