封闭腔体内双加热元件热羽流的传热特性与流动转变OA
Heat Transfer and Flow Transitions of Thermal Plumes Generated by Double Heating Elements in a Confined Enclosure
封闭空间内多热源驱动的浮力诱导流动与传热机制是电子设备热管理、能源系统热设计等领域的核心科学问题,其精准表征对提升工程系统热效率具有关键意义.本文以底部嵌入双加热元件的二维方形封闭腔体为研究对象,以空气为工质,在(0<Ra≤1.5×108)的宽瑞利数范围内,数值模拟了总热输入恒定条件下双加热器等热通量(qr=1)与不等热通量(qr=2)两种工况的浮力诱导流动.通过傅里叶功率谱、相空间轨迹、最大李雅普诺夫指数等方法分析流场的流动转变特征,同时定量研究了不同工况下腔体的传热特性,包括加热器时均最高温度、等温壁面时均努塞尔数的变化规律.研究表明,两种工况下均存在系列流动转变现象,可界定为稳态、周期非稳态与混沌非稳态3类流动状态.周期流动又分为基频及其整数倍频率主导的简单周期流动,包含基频、整数倍频率及亚谐波的复杂周期流动.等热通量工况下,Ra≤2.9×107 为稳态,3×107≤Ra≤1.3×108 为简单周期流动,1.4×108≤Ra≤1.5×108 为复杂周期流动;不等热通量工况下,稳态向周期流动的转变延迟至5.8×107~6.3×108,且Ra≥1.1×108 时流场进入向弱混沌转变的非周期状态.等热通量工况下,加热器的时均无量纲最高温度Ra⋅θmax的增长幅度介于不等热通量工况下强/弱加热器最高温度之间,且最高温度大小约为不等热通量工况下强/弱加热器的平均值.即使两加热器热通量相差一倍,腔体左右等温壁面的时均努塞尔数仍分别维持在0.46和0.54左右,散热效率基本相当.本文研究最终揭示了瑞利数、加热器热通量比对双热源热羽流浮力驱动对流系统流动转变与传热特性的关键调控机制,证实了非对称热输入会压缩周期流动的瑞利数范围、改变加热器温度响应特性,而等温壁面的散热主要由系统总热输入和对流能力决定.该研究完善了多热源羽流系统流动转变的理论体系,为电子设备被动冷却、能源系统热设计等工程场景的热管理与流动调控提供了重要的理论支撑.
The buoyancy-induced flow constitutes a core scientific issue for thermal management of electronic devices and thermal design of energy systems,where accurate characterization of flow and heat transfer is essential to improve thermal efficiency.In this work,buoyancy-induced flow above two heating elements flush-mounted at the bottom of a square enclosure containing air is numerically investigated over a range of Rayleigh numbers(0<Ra≤1.5×108),with a focus on equal and unequal heat flux conditions under a constraint of constant total thermal energy input.Distinct flow transitions are observed in both cases,leading to the identification of three flow regimes:Steady,periodic unsteady,and chaotic unsteady.Two types of periodic flows are distinguished,in which the first is a periodic flow dominated by a fundamental frequency(FF)and its integer-multiple frequencies(INTMF),while the second is a more complex periodic flow featuring FF,INTMF,and their sub-harmonics.The transitions between these regimes are affected by the relative heat flux of the two heaters.When the heat flux of the two heaters is unequal,the range of Rayleigh numbers corresponding to periodic flow is suppressed.It is also found that the time-averaged maximum temperature of the strong heater increases more rapidly with Ra,while that of the weak heater increases more slowly,reflecting the interaction between buoyancy-driven flow dynamics and asymmetric heat input.Analysis of the time-averaged Nusselt number demonstrates that heat dissipation from the isothermal walls remains roughly equivalent,even when the heat flux of the two heaters differs by a factor of two.These findings highlight the critical roles of Rayleigh number,the number of heaters,and the heat flux ratio of the heaters in determining heat transfer and flow characteristics for buoyancy-driven convection systems,providing important theoretical support and design references for engineering scenarios such as electronic devices and design of new energy systems.
王莹;许哲健;杨文;马鑫宇
中国民航大学中欧航空工程师学院,天津 300300,中国中国民航大学中欧航空工程师学院,天津 300300,中国中国民航大学中欧航空工程师学院,天津 300300,中国中国民航大学中欧航空工程师学院,天津 300300,中国
航空航天
自然对流热羽流双加热元件流动转变传热效率
natural convectionthermal plumedouble heating elementsflow transitionsheat transfer
《南京航空航天大学学报(英文版)》 2026 (1)
95-109,15
This work was supported by the Tian-jin Education Commission Research Program Project(No.2024KJ105).
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