Abstract
Information about temperature distribution is complex but of critical importance for the control of various microwave applications. In this paper, an innovative way of temperature distribution monitoring using ultrasonic thermometry in microwave field is investigated. The principle of ultrasonic thermometry in the situation of ideal gas is elaborated, and reconstruction algorithm based on Markov radial basis function approximation and singular values decomposition is presented and described in detail. In order to validate the performance of temperature distribution reconstruction of our presented algorithm, four two-dimensional temperature distribution models with different complexities are utilized in simulation experiments. Especially, simulation experiments taking error of measurement into account are studied to verify the robustness. Figure profiles show remarkable correspondence between the reconstructed ones and their models, while quantitative analysis, including the overall temperature error analysis and the hotspot positioning analysis, shows that different kinds of errors calculated are all within the limit ranges. In addition, the time analysis of simulation experiments also demonstrates its well real-time capability.
Highlights
As a novel energy source, microwave heating mode has been applied widely in many industrial fields, including chemical engineering, biodiesel reaction, and material processing
The advantages of microwave applications lie in energy saving, reduction in process duration, quality improving, instantaneous control, and many other unique characteristics induced by noncontact “volumetric” energy absorption [1,2,3,4,5,6,7]
These undesired phenomena are due to the difference of heating mode between microwave and other traditional thermal transmissions [4, 12,13,14,15]
Summary
As a novel energy source, microwave heating mode has been applied widely in many industrial fields, including chemical engineering, biodiesel reaction, and material processing. There are some serious problems, such as inhomogeneous heating, thermal runaway, and transient behavior, which may lead to severe accidents like explosions or spontaneous ignitions [8,9,10,11,12,13,14] These undesired phenomena are due to the difference of heating mode between microwave and other traditional thermal transmissions [4, 12,13,14,15]. The effective permittivity of the mixed reactant exhibits a strong dependence on the temperature, and it can be beneficial for the reaction if the temperature can be gained and controlled [16, 17] It is very important for microwave applications to show the inside temperature distribution of the objects
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