An analysis of heat transfer in non-uniformly heated corrugated slots has been carried out. A sinusoidal corrugation is placed at the lower plate that is exposed to heating consisting of uniform and sinusoidal components, while the upper smooth plate is kept isothermal. The phase difference ΩTL describes the shift between the heating and geometric non-uniformities. The analysis is limited to heating conditions that do not give rise to secondary motions. Depending on ΩTL, the conductive heat flow is directed either upwards, or downwards, or is eliminated. Its magnitude is smallest for the long-wavelength systems and largest for the short-wavelength systems, and it increases proportionally to the corrugation amplitude and heating intensity. The same heating creates horizontal temperature gradients that give rise to convection whose form depends on ΩTL. Convection consists of counter-rotating rolls with the size dictated by the system wavelength when the hot spots (points of maximum temperature) overlap eith...

中文翻译：

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非均匀加热波纹槽中的对流传热

对非均匀加热波纹槽中的传热进行了分析。正弦波纹放置在下板处，下板受到由均匀和正弦分量组成的加热，而上光滑板保持等温。相位差 ΩTL 描述了加热和几何不均匀性之间的转变。分析仅限于不会引起二次运动的加热条件。根据 ΩTL，传导热流向上或向下，或被消除。它的幅度在长波长系统中最小，在短波长系统中最大，并且与波纹幅度和加热强度成比例增加。同样的加热会产生水平温度梯度，从而产生形式取决于 ΩTL 的对流。对流由反向旋转的辊组成，当热点（最高温度点）重叠时，其尺寸由系统波长决定...