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针对微三角形槽道, 利用正交函数法求解了滑移流区内带温度跳跃边界条件的能量方程, 理论分析了多种不同非均匀定热流密度加热条件下不可压缩气体在微三角形槽道内热充分发展滑移流动的换热特性, 获得了相应的温度分布及平均Nusselt数的计算式. 讨论了Knudsen数、微槽高宽比及不同加热边界条件对平均Nusselt数的影响. 计算结果表明: 正交函数法适用于微三角形槽道内滑移流动换热特性的分析计算; 在滑移流区, 微三角形槽道内的平均Nusselt数随Kn数的增加而减小, 但减小的幅度随微槽的高宽比和加热边界条件的不同而不同. 对微正三角形槽道而言, 相比单独底边加热条件, 两斜边加热条件下的换热性能在小Kn数时下降较缓, 在大Kn数时下降较大. 最后得到了非均匀加热边界条件下微正三角形槽道内平均Nusselt数的计算关联式.
For microcantilever channel, the energy equation of temperature jump boundary condition in slip flow zone was solved by orthogonal function method. In theory, the energy of incompressible gas in micro-triangle channel was analyzed under different conditions of constant heat flux density The heat transfer characteristics of the slip flow are fully developed and the corresponding temperature distribution and the calculation formula of the average Nusselt number are obtained.The effects of the Knudsen number, the aspect ratio of the micro-grooves and different heating boundary conditions on the average Nusselt number are discussed.The calculation results show that: The orthogonal function method is suitable for the analysis and calculation of the heat transfer characteristics of the gliding flow in the micro-triangular channel. In the sliding flow region, the average Nusselt number in the microcatrene channel decreases with the increase of the Kn number, Groove aspect ratio and heating boundary conditions are different.For the micro-equilateral triangle channel, compared with the sole heating conditions, the heating performance of the two hypotenuse under a small number of Kn Knoth slow down, And decreases greatly at large Kn number.Finally, the formula for calculating the average Nusselt number in a slightly equilateral triangle with non-uniform heating boundary conditions is obtained.