Abstract
Although the ultrasonic technique for measuring temperature distributions has drawn much attention in recent years, most studies that adopt this technique focus on two-dimensional (2D) systems. Mathematically, extending from 2D to 3D requires higher construction-performing algorithms, as well as more complicated, but extremely crucial, designs of ultrasonic transducer layouts. Otherwise the ill condition of governing-equation matrices will become more serious. Here, we aim at constructing 3D temperature distributions by using a network of properly-installed ultrasonic transducers that can be controlled to transmit and receive ultrasound. In addition, the proposed method is capable of performing this construction procedure in real time, thus monitoring transient temperature distributions and guarantee the safety of operations related to heating or burning. Numerical simulations include constructions for four kinds of temperature distributions, as well as corresponding qualitative and quantitative analyses. Finally, our study offers a guide in developing non-intrusive experimental methods that measure 3D temperature distributions in real time.
Highlights
Ultrasonic techniques for non-intrusive measurements have been used in both the academia and the industry[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]
We focus on constructing 3D temperature distributions using a network of properly-installed ultrasonic transducers that can be controlled to transmit and receive ultrasounds in different times
Based on the one-to-one relationship between the ultrasound velocity and the temperature, we have developed a non-intrusive and real-time ultrasonic technique that can compute 3D temperature distributions using a network of properly-installed ultrasonic transducers
Summary
The ultrasound velocity changes depending on temperatures. In gases, the relationship between ultrasound velocity and temperatures is described as[6,17,18]. A network of 32 ultrasonic transducers is represented by black dots and installed uniformly on each edge of the cube (Fig. 2). These transducers can be regarded as transceivers due to their ability of working as transmitters and receivers, which are controlled to transmit and detect ultrasonic signals in different times[16]. Since ultrasound paths on edges or surfaces contribute little to the construction of internal temperatures, they are non-essential and have been eliminated from Fig. 2. These 32 ultrasonic transducers generate 172 effective ultrasound paths.
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