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用红外技术、导热反问题计算及计算机技术相结合诊断工业热设备内壁缺陷的方法,因涉及到复杂的数学问题并受设备几何形状的限制,而具有挑战性。用该方法对三维球形拐角内壁缺陷进行计算。利用红外热像仪获取内壁形状未知设备的外壁温度场,将其作为强制边界条件,结合传热反问题计算,推导出了该形状内壁曲面的普适方程,从而确定缺陷的位置及尺寸,并从理论上证明了该方法的可行性,为这类缺陷的诊断提供了基础。给出的数学方法具有普适性,可应用到内部边界为第二及第三类条件的情况中。
The combination of infrared technology, inverse thermal problem calculation and computer technology to diagnose the inner wall defects in industrial thermal equipment is challenging because of the complex mathematical problems involved and the limited geometry of the equipment. This method is used to calculate the defects of the three-dimensional spherical corner wall. The temperature field of the outer wall with unknown shape of the inner wall was obtained by infrared camera. The boundary temperature was regarded as the forced boundary condition, and the general equation of the inner wall surface was deduced by the calculation of inverse heat transfer problem. Then the location and size of the defect were determined. The feasibility of this method is proved theoretically, which provides the basis for the diagnosis of such defects. The mathematical method given is universal and can be applied to cases where the internal boundaries are the second and third conditions.