Abstract
The heat conduction equation is solved in this paper under specific boundary conditions. The coefficients of the obtained distribution equation are simplified with the piecewise integral method. Then the associated model for the cylindrical thermal equipment is established. The relationship of the surface temperatures, the material properties and the inner wall state of the cylindrical thermal equipment is described in the associated model. This model is applied to the inner wall running state monitoring of the main pipe. A multi-channel distributed optical fiber temperature measurement system is designed to acquire the external surface temperatures of the main pipe. Then the associated model can be used to analyze the surface temperature data of the main pipe. The location and the physical dimension of the inner wall defect can be got. Therefore, the inner wall defect monitoring of the main pipe can be realized. The feasibility of this method is verified by experiment. This method also provides a theoretical basis for the real-time monitoring of the main pipe’s internal state.
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