Multi-parameter study on array-jets impingement with crossflow temperature effect

Juan He; Lei Chen; Kun Xiao

doi:10.1515/tjj-2024-0101

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Multi-parameter study on array-jets impingement with crossflow temperature effect

Juan He , Lei Chen and Kun Xiao

Published/Copyright: March 11, 2025

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From the journal International Journal of Turbo & Jet-Engines Volume 42 Issue 3

Abstract

This paper numerically studies the heat transfer and flow loss of array-jets impingement cooling with initial crossflow under three aerodynamic parameters (jet Reynolds number (Re_j), crossflow-to-jet mass flow ratio (CMFR) and crossflow-to-jet temperature ratio (TR)) and four typical geometrical parameters (jet-to-target spacing(H), jet-to-jet streamwise spacing (P _x), jet-to-jet spanwise spacing (P _y), and jet angle (θ)). From the results, as Re_j increases, the heat transfer is improved, and the flow loss is declined. The TR has obvious influence on heat transfer and flow loss, and the increased TR leads to a decrease in heat transfer, but the effect of TR on friction loss is closely related to specific geometrical parameters. The effect of CMFR on heat transfer and flow loss is similar to that of TR, both of which are related to specific geometric parameters. Through detail analysis of multi-parameters effect, this paper finally establishes the improved correlation formulas for area-averaged Nusselt number and friction loss coefficient under the “three-temperature” problem, which further lays a solid theoretical foundation for array-jets impingement cooling design.

Keywords: impingement cooling; crossflow-to-jet mass flow ratio; crossflow-to-jet temperature ratio; nusselt number; friction loss coefficient

Corresponding author: Kun Xiao, Ministry of Industry and Information Technology Key Laboratory of Thermal Management and Energy Utilization of Aviation Vehicles, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R. China, E-mail: xiaokun@nuaa.edu.cn

Nomenclature

Symbols

A: The total averaged area, mm²
CMFR: Crossflow-to-jet mass flow ratio
D: Impingement hole diameter, mm
f: Friction loss coefficient
H: Jet-to-target spacing, mm
k: Turbulent kinetic energy, J
l: Length, mm
m: Mass flow rate, kg/s
Nu: Nusselt number
P: Pitch, mm
p: Pressure, Pa
q: Heat flux, W/m²
Re: Reynolds number
T: Temperature, K
TR: Crossflow-to-jet temperature ratio
V: Velocity, m/s

Greek symbols

ε: Dissipation rate, m²/s³
θ: Jet angle,
λ: Thermal conductively, W/(m·K)
μ: Dynamic viscosity, m²/s
ρ: Density, kg/m³
ω: Specific dissipation rate, W/mm²

Subscripts

ave: Area-averaged value
aw: Adiabatic wall
CL: Centerline
j: Jet
L: Laterally
w: Wall

Acknowledgments

The authors would like to acknowledge the financial support from Postdoctoral Fellowship Program of CPSF (GZB20230305), National Natural Science Foundation of China (No. 22408157) and Jiangsu Province Provincial department of science and technology (No. BK20241413).

Research ethics: Not applicable.
Informed consent: Not applicable.
Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission. Juan He: Conceptualization, Data Curation, Formal Analysis, Methodology, Writing - Original Draft, Manuscript revision. Lei Chen: Manuscript revision, Investigation. Kun Xiao: Funding Acquisition, Review, Editing, Investigation.
Use of Large Language Models, AI and Machine Learning Tools: None declared.
Conflict of interest: The author states no conflict of interest.
Research funding: Postdoctoral Fellowship Program of CPSF (GZB20230305), National Natural Science Foundation of China (No. 22408157) and Jiangsu Province Provincial department of science and technology (No. BK20241413).
Data availability: All data generated or analyzed during this study are included in this published article.

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Received: 2024-12-02

Accepted: 2025-02-18

Published Online: 2025-03-11

Published in Print: 2025-08-26

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Articles in the same Issue

https://doi.org/10.1515/tjj-2024-0101

Keywords for this article

impingement cooling; crossflow-to-jet mass flow ratio; crossflow-to-jet temperature ratio; nusselt number; friction loss coefficient