Bifurcation Analysis of Thermal Runaway in Microwave Heating of Ceramics

Gupta, Nikunj; Midha, Vikas; Balakotaiah, Vemuri; Economou, Demetre J.

doi:10.1149/1.1392690

Cited by 13 publications

(9 citation statements)

References 11 publications

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“…[14,27,18], as shown in Figure 1. The ceramic slab with length l and relative dielectric constant ε r is assumed to be exposed to the free space.…”

Section: Microwave Heating Model On Ceramicsmentioning

confidence: 92%

“…The conductivity increases with the rise of temperature, which can be described by an exponential or Arrhenius model [14,18] :…”

Section: Microwave Heating Model On Ceramicsmentioning

confidence: 99%

“…Since Kriegsmann [14] analyzed a model of thermal runaway using an asymptotic method in 1992, many researchers have been attracted to discuss mathematical analysis of thermal runaway aspects [15,17,18] . In the numerical simulation of thermal runaway, a coupled system of Maxwell's equations and the heat transfer equation (HTE) has to be solved.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analysis and control of the thermal runaway of ceramic slab under microwave heating

Liu

Sheen

2008

Sci. China Ser. E-Technol. Sci.

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Thermal runaway is a special macroscopic phenomenon of the dielectrics during microwave heating, in which there is a big jump of the steady state temperature while the applied microwave power varies slightly. It hinders the applications of microwave heating technique in industry. A simulation based on the finite difference time domain (FDTD) method to solve Maxwell's equations coupled with the finite difference (FD) method to solve a heat transfer equation (HTE) is presented, and the temperature variation in a ceramic slab during microwave heating is obtained. The temperature variation in the ceramic slab during microwave heating is simulated with various ceramic parameters and applied microwave powers so as to analyze the condition under which thermal runaway is introduced. Moreover, a microwave power control method, based on a single temperature threshold and dual applied microwave powers, is presented, which improves microwave heating efficiency and controls thermal runaway. The relation between the final applied microwave power and the monitored temperature threshold is presented as well. This method can be applied in many fields related with microwave heating techniques.finite difference time domain method (FDTD), heat transfer, temperature, power threshold

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“…[14,27,18], as shown in Figure 1. The ceramic slab with length l and relative dielectric constant ε r is assumed to be exposed to the free space.…”

Section: Microwave Heating Model On Ceramicsmentioning

confidence: 92%

“…The conductivity increases with the rise of temperature, which can be described by an exponential or Arrhenius model [14,18] :…”

Section: Microwave Heating Model On Ceramicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis and control of the thermal runaway of ceramic slab under microwave heating

Liu

Sheen

2008

Sci. China Ser. E-Technol. Sci.

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“…This form of problem statement is capable of tracing resonant effects in microwave absorption and their influence on the stability of heating. In particular, it has been shown that for a certain set of parameters, there can be periodically recurring ranges of slab thickness for which thermal runaway may be avoided …”

Section: Heat Transfer Aspects and Sintering Simulationsmentioning

confidence: 99%

Microwave Sintering: Fundamentals and Modeling

2013

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This paper reviews the basic physical notions underlying microwave sintering and the theoretical and numerical models of the microwave sintering process. The propagation and absorption of electromagnetic waves in materials, and the distribution of electromagnetic field in cavity resonators that serve as applicators for microwave processing are discussed and the electromagnetic modeling of such applicators is reviewed. The microwave absorption properties of ceramic and metal powder materials and the methods of their description are addressed. Self‐consistent electromagnetic and thermal models that are capable of predicting the temperature distribution in the microwave‐heated materials and dynamic effects such as thermal runaway instabilities are reviewed. The multiphysics simulations that combine electromagnetic, thermal, and sintering models and result in predicting densification, shrinkage, and grain structure evolution are discussed in detail. The significance of microwave nonthermal effects in sintering is demonstrated based on the experimental results, and the models of such effects are reviewed.

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“…Chatterjee, et al, [40] analyzed the microwave heating of ceramic materials by solving the equations for grain growth and porosity [54] during the late stages of sintering, coupled with the heat conduction equation and electric field equations for 1-D slabs. Gupta, et al, [41] analyzed the steady-state behavior of a ceramic slab under microwave heating by transverse magnetic illumination. They observed that for a certain set of parameters, there are periodically recurring ranges of slab thickness for which thermal runaway may be avoided.…”

Section: Application Backgroundsmentioning

confidence: 99%