This paper studies Rabinovitch's compression experiments on granite and chalk and proposes an oscillating dipole model to analyse and simulate the electromagnetic radiation phenomenon caused by fracture of rocks. Our model assumes that the electromagnetic radiation pulses are initiated by vibrations of the charged rock grains on the tips of the crack. The vibrations of the rock grains are stimulated by the pulses of the cracks. Our simulations show comparable results with Rabinovitch's compression experiments. From the simulation results, it verifies an assumption that the crack width is inversely proportional to the circular frequency electromagnetic radiation, which is presented by Rabinovitch et al. The simulation results also imply that, by using our oscillating dipole model together with Rabinovitch's two equations about the crack length and crack width, we can quantitatively analyse and simulate the electromagnetic radiation phenomenon, which is induced from the fracture of the rocks.
The nonlinear process of microwave heating chemical reaction is studied by means of numerical simulation. Especially,the variation of temperature in terms of space and time,as well as the hotspot and thermal runaway phenomena are discussed. Suppose the heated object is a cylinder and the incident electromagnetic(EM) wave is plane wave,the problem turns out to be a coupling calculation of 2D multi-physical fields. The integral equation of EM field is solved using the method of moment(MoM) and the thermal conduction equation is solved using a semi-analysis method. Moreover,a method to determine the equivalent complex permittivity of reactant under the heating is presented in order to perform the calculation. The numerical results for water and a dummy chemical reaction(A) show that the hotspot is a ubiquitous phenomenon in microwave heating process. When the radius of the heated object is small,the highest temperature occurs somewhere inside the object due to the concentration of the EM wave. While the radius increases to a certain degree,the highest temperature occurs somewhere close to the surface due to the skin effect,and the whole high temperature area shows crescent-shaped. That is in accordance with basic physical principles. If the radius is kept the same in the heating process,the hotspot position of water does not change,while that of reaction A with several radius values varies. For either water or A,the thermal runaway phenomenon in which small difference of radius results in large difference of highest temperature,occurs easily when the radius is small. On the contrary,it is not evident when the radius is large. Moreover,it is notable that the highest temperature in water shows oscillating decreasing trend with the increase of radius,but in reaction A almost decreases monotonously. Further study should be performed to determine if this difference is only an occasional occurrence.
The precise condition of thermal runaway in microwave heating on chemical reaction with a feedback control system is quantitatively studied. First, the precise condition of thermal runaway in engineering application is derived based on the principle of the feedback control system. Then, the temperature rising rates for 4 different kinds of reaction systems placed in the waveguide and irradiated by micro-wave with different input powers are simulated. Finally, the relationship, which is inattentive so far, between the thermal runaway and the sensor's response time is discussed.
