Mathematical Modelling of Microwave Pyrolysis

2013 ◽  
Vol 11 (1) ◽  
pp. 543-559
Author(s):  
Elham Khaghanikavkani ◽  
Mohammed M. Farid

Abstract This study deals with a detailed numerical investigation of the microwave heating process in plastic pyrolysis. The pyrolysis of high-density polyethylene (HDPE) was studied using a single-mode microwave cavity, TE10 mode, at 2.45 GHz with two different absorbents, as carbon and silicon carbide, and the results were compared. The temperature distribution inside the sample was determined by solving the conservation equations coupled with the microwave and chemical kinetic equations. Lambert’s law was applied to describe the electromagnetic field in the microwave cavity. The effective heat capacity method was used to account for the latent heat in the melting range of plastic. The heat of the reaction was taken into account using first-order kinetic equations assuming a single-step reaction. One-dimensional model equations were solved using the finite difference method utilising MATLAB codes. The model developed in this study provides a better understanding of the fundamental mechanisms of the microwave pyrolysis of HDPE based on a combination of electromagnetic field and thermal models. The primary focus was to incorporate and investigate the effect of the phase changes and reaction during microwave pyrolysis. The results show that the temperature profile strongly depends on the physical properties of the material. Silicon carbide provides more uniform heating distribution compared with carbon.

2018 ◽  
Vol 2018 ◽  
pp. 1-24 ◽  
Author(s):  
Zhijun Zhang ◽  
Tianyi Su ◽  
Shiwei Zhang

Aiming at improving the food quality during microwave process, this article mainly focused on the numerical simulation of shape effect, which was evaluated by microwave power absorption capability and temperature distribution uniformity in a single sample heated in a domestic microwave oven. This article only took the electromagnetic field and heat conduction in solid into consideration. The Maxwell equations were used to calculate the distribution of microwave electromagnetic field distribution in the microwave cavity and samples; then the electromagnetic energy was coupled as the heat source in the heat conduction process in samples. Quantitatively, the power absorption capability and temperature distribution uniformity were, respectively, described by power absorption efficiency (PAE) and the statistical variation of coefficient (COV). In addition, we defined the comprehensive evaluation coefficient (CEC) to describe the usability of a specific sample. In accordance with volume or the wave numbers and penetration numbers in the radial and axial directions of samples, they can be classified into different groups. And according to the PAE, COV, and CEC value and the specific need of microwave process, an optimal sample shape and orientation could be decided.


2013 ◽  
Vol 58 (3) ◽  
pp. 919-922 ◽  
Author(s):  
K. Granat ◽  
B. Opyd ◽  
D. Nowak ◽  
M. Stachowicz ◽  
G. Jaworski

Abstract The paper describes preliminary examinations on establishing usefulness criteria of foundry tooling materials in the microwave heating technology. Presented are measurement results of permittivity and loss tangent that determine behaviour of the materials in electromagnetic field. The measurements were carried-out in a waveguide resonant cavity that permits precise determination the above-mentioned parameters by perturbation technique. Examined were five different materials designed for use in foundry tooling. Determined was the loss factor that permits evaluating usefulness of materials in microwave heating technology. It was demonstrated that the selected plastics meet the basic criterion that is transparency for electromagnetic radiation.


Author(s):  
С.П. Исаев ◽  
К.А. Шевчук

Современное развитие деревоперерабатывающей отрасли сопровождается существенным ростом объемов готовой продукции, производимой на основе клееной древесины. Качество выпускаемой клееной продукции во многом определяется свойствами применяемых клеев. Экспериментально исследовано влияние электромагнитного поля СВЧ-диапазона на структуру клеев, применяемых для склеивания древесины. Установлено, что СВЧ-обработка оказывает существенное влияние на микроструктуру поливинилацетатного клея Dorus 072. Структура клеевой пленки, обработанной СВЧ-излучением, имеет более высокую дисперсность, по сравнению с исходным полимером, которая выражается в среднем уменьшении глобул в 1,4 раза. Исследование фазового контраста пленки поливинилацетатного клея, обработанного СВЧ-излучением, позволило установить, что после обработки уменьшается фазовая неоднородность клеевой пленки и имеет место углубление дисперсности глобул полимера, приводящее к увеличению степени его упаковки с образованием однородной по структуре пленки. Экспериментальные исследования пленок карбамидоформальдегидного клея Dorus FU 406, подвергнутого СВЧ-обработке, показали, что структуры образцов пленок как обработанного, так и необработанного, клея не отличаются значительными изменениями. Исследование фазового сдвига по поверхности образца пленки карбамидоформальдегидного клея отражает распределение свойств материала и показывает, что СВЧ-обработка клея способствует образованию квазигомогенной структуры, формирование которой подтверждается уменьшением различий в границах фазовых переходов микроструктур отвержденного полимера. На основании проведенных экспериментов по исследованию структуры пленок клеев, применяемых для склеивания древесины, установлено, что в результате воздействия электромагнитного поля СВЧ-диапазона на клеевые растворы осуществляется нетепловая модификация, сопровождающаяся уменьшением размеров макромолекул полимера и формированием плотно упакованной структуры пленки. Полученные результаты позволяют сделать вывод о целесообразности дальнейших исследований по модификации клеев СВЧ-обработкой. Modern development of woodworking branches is accompanied by essential growth of volumes of the finished goods manufactured on the basis of glued wood. Quality of let out glued production in many respects is defined by properties of applied glues. Influence of an electromagnetic field of a microwave range on frame of the glues applied to coagglutination of wood is experimentally investigated. It is positioned that microwave processing makes essential impact on a microstructure of polyvinyl acetate glue Dorus 072. The frame of the adhesive film treated by microwave radiation, has higher dispersity in comparison with initial polymer which is expressed on the average reduction of globules in 1,4 times. Research of phase contrast of a film of the treated polyvinyl acetate glue by microwave radiation has allowed to position that after processing phase heterogeneity of an adhesive film decreases and the excavation of dispersity of globules of the polymer, leading to augmentation of degree of its packaging, forming an unimodal film on frame takes place. Experimental researches of films of amino-formaldehyde glue Dorus FU 406, subjected to microwave processing, have shown that Frames of samples of films both treated, and untreated glue do not differ significant changes. Research of phase alteration on a surface of the sample of a film of amino-formaldehyde glue reflects allocation of properties of a stuff and shows that glue microwave processing promotes formation of the quasi-homogeneous frame which formation proves to be true reduction of distinctions in borders of phase changes of microstructures hardning polymer. On the basis of the made experiments on research of frame of films of the glues applied to coagglutination of wood it is positioned that as a result of influence of an electromagnetic field of the microwave oven of a range on glutinous solutions not thermal modification accompanied by reduction of the dimensions of macromolecules of polymer and formation of densely packed frame of a film is carried out. The received results allow to draw a conclusion on expediency of the further researches on modification of glues by microwave processing.


2015 ◽  
Vol 29 (29) ◽  
pp. 1550175 ◽  
Author(s):  
N. H. Abd El-Wahab ◽  
Ahmed Salah

We study the interaction between a single mode electromagnetic field and a three-level [Formula: see text]-type atom in the presence of a classical homogenous gravitational field when the atom is prepared initially in the momentum eigenstate. The model includes the detuning parameters and the classical homogenous gravitational field. The wave function is calculated by using the Schrödinger equation for a coherent electromagnetic field and an atom is in its excited state. The influence of the detuning parameter and the classical homogenous gravitational field on the temporal behavior of the mean photon number, the normalized second-order correlation function and the normal squeezing is analyzed. The results show that the presence of these parameters has an important effect on these phenomena. The conclusion is reached and some features are given.


2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Sylvain Marinel ◽  
Nicolas Renaut ◽  
Etienne Savary ◽  
Rodolphe Macaigne ◽  
Guillaume Riquet ◽  
...  

Over the years, microwave radiation has emerged as an efficient source of energy for material processing. This technology provides a rapid and a volumetric heating of material. However, the main issues that prevent microwave technology from being widespread in material processing are temperature control regulation and heating distribution within the sample. Most of the experimental works are usually manually monitored, and their reproducibility is rarely evaluated and discussed. In this work, an originally designed 915 MHz microwave single-mode applicator for high-temperature processing is presented. The overall microwave system is described in terms of an equivalent electrical circuit. This circuit has allowed to point out the different parameters which need to be adjusted to get a fully controlled heating process. The basic principle of regulation is then depicted in terms of a block function diagram. From it, the process has been developed and tested to sinter zirconia- and spinel-based ceramics. It is clearly shown that the process can be successfully used to program multistep temperature cycles up to ∼1550°C, improving significantly the reproducibility and the ease of use of this emerging high-temperature process technology.


2020 ◽  
Vol 9 (1) ◽  
pp. 119-130
Author(s):  
Kaihui Cui ◽  
Tianqi Liao ◽  
Chen Qiu ◽  
Hua Chen ◽  
Junwen Zhou

AbstractThis paper aims to investigate the heating behaviors of Y-TZP arrays under microwave irradiation. In this study, a three-dimensional numerical model of the microwave heating system was developed by COMSOL Multiphysics software. The numerical model was verified by microwave heating experiment, and the average root means square errors (RMSE) between the simulation and experimental data also confirmed the reliability of the model. The varying position and arrays of materials were applied to predict and visualize the three-dimensional distribution of the electromagnetic field and temperature during the microwave heating process. The results show that the temperature field distribution in microwave cavity was highly sensitive to the dielectric materials, the arrangement of the Y-TZP array interfered with the distribution of standing waves. The results can serve as references for the study to design and optimize the ceramic’s application in terms of microwave heating.


2019 ◽  
Vol 10 (1) ◽  
Author(s):  
W. Wang ◽  
Y. Wu ◽  
Y. Ma ◽  
W. Cai ◽  
L. Hu ◽  
...  

Abstract Two-mode interferometers lay the foundations for quantum metrology. Instead of exploring quantum entanglement in the two-mode interferometers, a single bosonic mode also promises a measurement precision beyond the shot-noise limit (SNL) by taking advantage of the infinite-dimensional Hilbert space of Fock states. Here, we demonstrate a single-mode phase estimation that approaches the Heisenberg limit (HL) unconditionally. Due to the strong dispersive nonlinearity and long coherence time of a microwave cavity, quantum states of the form $$\left( {\left| 0 \right\rangle + \left| N \right\rangle } \right)/\sqrt 2$$ 0 + N ∕ 2 can be generated, manipulated and detected with high fidelities, leading to an experimental phase estimation precision scaling as ∼N−0.94. A 9.1 dB enhancement of the precision over the SNL at N = 12 is achieved, which is only 1.7 dB away from the HL. Our experimental architecture is hardware efficient and can be combined with quantum error correction techniques to fight against decoherence, and thus promises quantum-enhanced sensing in practical applications.


2006 ◽  
Vol 527-529 ◽  
pp. 733-736
Author(s):  
Timothy Bogart ◽  
W.J. Everson ◽  
Rick D. Gamble ◽  
Ed Oslosky ◽  
David Snyder ◽  
...  

Semi-insulating silicon carbide (SiC) wafers are important as substrates for high frequency devices such as AlGaN-GaN HEMT’s. A nondestructive characterization technique has been developed to measure the dielectric properties of SiC wafers in the GHz frequency range where the devices will operate in order to validate wafers for high yield working devices. The dielectric loss is measured at approximately 16 GHz in a split microwave cavity. Initial results show a correlation where the dielectric loss decreases as the resistivity increases, where the resistivity was measured using a Contactless Resistivity Mapping system (COREMA). The uniformity of dielectric loss across SiC wafers was evaluated using a split post dielectric resonator cavity fixed at 5.5GHz to measure the dielectric loss at five points on a wafer. Dielectric loss as a function of temperature from room temperature to 400°C was also studied.


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