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An invariant descriptor for conjugate forced convection-conduction cooling of 3D protruding heaters in channel flow

机译:通道流中3D凸出加热器的共轭强制对流传导冷却的不变描述符

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In this research, the temperatures of three-dimensional (3D) protruding heaters mounted on a conductive substrate in a horizontal rectangular channel with laminar airflow are related to the independent power dissipation in each heater by using a matrix G~+ with invariant coefficients, which are dimensionless. These coefficients are defined in this study as the conjugate influence coefficients (g~+) caused by the forced convection-conduction nature of the heaters' cooling process. The temperature increase of each heater in the channel is quantified to clearly identify the contributions attributed to the self-heating and power dissipation in the other heaters (both upstream and downstream). The conjugate coefficients are invariant with the heat generation rate in the array of heaters when assuming a defined geometry, invariable fluid and flow rate, and constant substrate and heater conductivities. The results are numerically obtained by considering three 3D protruding heaters on a two-dimensional (2D) array by ANSYS/Fluent™ 15.0 software. The conservation equations are solved by a coupled procedure within a single calculation domain comprising of solid and fluid regions and by considering a steady state laminar airflow with constant properties. Some examples are shown, indicating the effects of substrate thermal conductivity and Reynolds number on conjugate influence coefficients.
机译:在这项研究中,通过使用具有不变系数的矩阵G〜+,在具有层流的水平矩形通道中的水平矩形通道中的导电衬底上安装的三维(3D)凸出加热器的温度与每个加热器的独立功耗有关。是无量纲的。在本研究中,将这些系数定义为由加热器冷却过程的强制对流传导性质引起的共轭影响系数(g〜+)。量化通道中每个加热器的温度升高,以清楚地识别归因于其他加热器(上游和下游)中的自发热和功率耗散的贡献。当采用定义的几何形状,恒定的流体和流速以及恒定的基板和加热器电导率时,共轭系数与加热器阵列中的发热速率无关。通过使用ANSYS / Fluent™15.0软件在二维(2D)阵列上考虑三个3D凸出加热器,可以从数值上获得结果。通过在包括固体和流体区域的单个计算域内的耦合过程并考虑具有恒定特性的稳态层流来求解守恒方程。显示了一些示例,这些示例指示了基材热导率和雷诺数对共轭影响系数的影响。

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