微波处理中木材内温度分布模型的热源反演

Heat Source Inversion of Temperature Profile Model in Wood during Microwave Heating

从微波处理木材中木材内部温度分布的热传导模型出发,将单向微波照射与双向微波照射时的模型划归为一类模型来求解。利用求解一维波动方程的方法并定义新算子反演微波处理中木材内部温度分布模型的热源表达式。研究结果表明:单向微波与双向微波处理中木材内部温度分布的模型所反演的热源可以相应地由定义的自伴算子的特征根和特征向量统一表示。

According to the heat conduction model of temperature profiles in wood during microwave heating , the models of uni-lateral microwave heating and bilateral microwave heating should be classified as a model to solve by solving the wave equa -tion and defining new operator inverting the model of temperature profiles in wood during microwave heating .The heat source of unilateral microwave heating and bilateral microwave heating should be expressed by eigenvector and characteris -tic root of the operator .The heat source identification of heat conduction equation which is similar to the model of tempera -ture profiles in wood during microwave heating can be solved by using our method to invert the expression of heat source .