微波加热秸秆的模拟研究
Simulation Research on Microwave Heating Straw

作者: 林 增 , 韦 维 , 廖玉梅 :贵州大学理学院数学系,贵州 贵阳;

关键词: 微波加热热传导方程Maxwell方程组秸秆Microwave Heating Heat Conduction Equation Maxwell Equation Set Straw

摘要:
本文主要对秸秆料包微波加热过程的升温特性进行了理论研究和数值模拟。该过程可用热传导方程描述,在利用Lambert定律对内热源项进行简化的基础上,求得了此热传导方程第二边值问题的解析解和数值解。并利用Matlab软件模拟其在微波加热中温度的分布情况,通过对图像的分析我们认为秸秆的长度选为0.5米较合适,对其加热到42分钟,既能保证加热效率,又不会导致秸秆炭化,此结论可供工程实际参考。

Abstract: In this paper, we mainly study the temperature-rising characteristics about microwave heating straw, including theoretical research and numerical simulation. This process can be described by heat conduction equation; through simplifying the heat source term by Lambert law, we obtain the equation’s analytical and numerical solution with second boundary condition. We simulate the distribution of the temperature in the microwave heating process by means of Matlab. Through analyzing the graphic, we think that choosing the straw’s length at 0.5 meter is more appropriate, and heating the straw for 42 minutes can guarantee the heating efficient, and also will not lead to carbonization. The results obtained can be used for reference in engineering practice.

文章引用: 林 增 , 韦 维 , 廖玉梅 (2015) 微波加热秸秆的模拟研究。 建模与仿真, 4, 49-59. doi: 10.12677/MOS.2015.42007

参考文献

[1] James, M.H. and Timothy, R.M. (1996) Modelling microwave heating. Applied Mathematical Modelling, 20, 3-15.

[2] Gregory, A.K. and Jonathan, H.C.L. (2001) Microwave joining of two long hollow tubes: An asymptotic theory and numerical simulations. Journal of Engineering Mathematics, 39, 63-78.

[3] Wei, W., Yin, H.M. and Tang, J.M. (2012) An optimal control problem for microwave heating. Nonlinear Analysis TMA, 75, 2024-2036.

[4] Ayappa, K.G. and Davis, H.T. (1991) Microwave heating: An evaluation of power formulations. Chemical Engineering Science, 46, 1005-1016.

[5] Budd, C.J. and Hill, A.D.C. (2011) A comparison of models and methods for simulating the microwave heating of moist foodstuffs. International Journal of Heat and Mass Transfer, 54, 807-817.

[6] Barringer, S.A., Davis, E.A., Gordon, J., Ayappa, K.G. and Davis, H.T. (1995) Microwave heating temperature profiles for thin slabs compared to Maxwell and Lambert law predictions. Journal of Food Science, 60, 1137-1142.

[7] Datta, A.K., Prosetya, H.M. and Hu, W. (1994) Mathematical modeling of batch heating of liquids in a microwave cavity. Journal of Microwave Power and Electromagnetic Energy, 1, 325-327.

[8] Cheng, Y., Sakay, N. and Hanzawa, T. (1997) Effects of dieletric properties on temperature distributions in food model during microwave heating. Food Science Technology International, 3, 324-328.

[9] 赵希强, 王敏, 张建, 李龙之, 马春元, 宋占龙 (2011) 秸秆料包微波加热过程的温度分布的数值模拟. 农业工程学报, 27, 308-312.

[10] 袁振宏, 吴创之, 马隆龙 (2004) 生物质能利用原理与技术. 化学工业出版社, 北京.

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