Method for acoustically reconstructing three-dimensional temperature field by taking regard of sound ray bending behavior

Abstract

Provided is a method for acoustically reconstructing a three-dimensional temperature field by taking regard of sound ray bending behaviors. The method includes the steps: arranging a plurality of sound wave transceivers on the surface of a three-dimensional hearth, dividing the hearth into n grids, wherein m effective sound wave paths form among the sound wave transceivers and penetrate the grids in the hearth; calculating the length when each path passes through the grids in a sound wave linear transmission condition, and forming a matrix L; measuring the transmission time of a sound wave on the paths, forming a matrix t, and reconstructing the acoustic velocity and temperature of the geometric centre of each grid; reconstructing a temperature field according to the obtained temperature, obtaining the sound ray track of each patch according to the Fermat principle, calculating the length when each path passes through the grids, and forming a reconstructed matrix L ' taking regard of sound ray bending; reconstructing the acoustic velocity and temperature of the geometric centre of each grid according to the matrix L ' and the matrix t; and repeating the above steps, and obtaining an accurate value that is gradually close to the temperature field through an iteration method. According to the method, a sound ray transmission path can be tracked, and the temperature field reconstruction precision is improved.

Description

technical field [0001] The invention relates to a method for reconstructing a three-dimensional temperature field in a furnace based on a finite element subdivision method, in particular to an acoustic reconstruction method for a three-dimensional temperature field in a furnace considering the bending behavior of sound rays. The invention utilizes the sound ray bending phenomenon that occurs in the non-uniform temperature field of the sound wave, uses the Fermat principle to track the sound ray, and continuously improves the reconstruction accuracy of the temperature field through an iterative method. Background technique [0002] The basic principle of acoustic temperature measurement is based on the single-valued functional relationship between the speed of sound wave propagation and the temperature of the medium, which satisfies the relationship: [0003] c = γ R M ...

AI Technical Summary

Problems solved by technology

The above technologies have not given specific guidance on how to track the sound ray propagation path, improve the temperature field reconstruction accuracy, and overcome the influence of sound ray bending on the temperature field reconstruction accuracy.

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