# Mathematical Modeling for Vacuum Infrared Radiation Drying of Pyinkado (Xylia Xylocarpa)

Document Type : Full Lenght Research Article

Authors

1 Faculty of Mechanical Engineering, Nong Lam University, Ho Chi Minh city, Vietnam

2 Faculty of Forestry, Nong Lam University, Ho Chi Minh city, Vietnam

Abstract

The main goal is to build a mathematical model to describe the heat and moisture transfer process and experiment to determine the appropriate vacuum drying mode for Pyinkado wood material. According to the objective above, research has been conducted using the infrared vacuum drying method for Pyinkado, and a mathematical model has been developed to represent the heat and moisture transfer processes during the drying process. Solve mathematical models using the finite element method. Comsol Multiphysics software is used to simulate the drying process. Results are shown through images and temperature and humidity distribution charts. Experimental results recorded the distribution of temperature and humidity during the vacuum drying process of Pyinkado, compared with results calculated from a mathematical model with profiles and trends consistent with the drying experiment. The largest average error when drying using the infrared radiation vacuum method is less than 5%. Determine the appropriate technological parameters for the vacuum drying process of wood with a thickness of 50 mm. The parameters are as follows: drying temperature Ts = 58.9 °C, pressure p = 0.2 bar, and infrared radiation intensity Phn = 625– 641 W/m2.

Keywords

Main Subjects

#### References

[1]   Chen, Z., 1997.Primary Driving Force in Wood Vacuum Drying, (Doctor of Philosophy in Wood Science and Forest Products, Faculty of the Virginia Polytechnic Institute and State University).
[2]    Deliiski, N., Syuleymanov1, A., 2006. Influence of molar ransfer coefficient on pressure distribution in beech lumber during its convective-vacuum drying, Original scientific paper, UDK: 630*847.31; 630*847.8. https://hrcak.srce.hr/10847
[3]    He, Z., Yao, X., Chen, L., Yi, S., 2010. Theoretic discussion on the way and driving forces of moisture migration in wood during vacuum drying”, The international research group on wood protection. https://www.iufro.org/download/file/6524/1999/iwc10-seoul-IRG_10-40538_pdf
[4]    Defo, M., Cloutier, A., Fortin, Y., 2000. Modeling vacuum contact drying of wood the water potential approach. Drying technology, International journal, Vol 18, No. 8, pp. 1737 - 1778.
[5]    Koumoutsakos, A., Avramidis, S., Hatzikiriakos, Savvas, G., 2003. Radio Frequency Vacuum Drying of Wood. III. Two-Dimensional Model, Optimization, and Validation. Drying technology, Vol 21, No 8, pp. 1399 - 1410.
[6]    Torres, S. S., Jomaa, W., Puiggali, J. R., Avramidis, S., 2011. Multiphysics modeling of vacuum drying of wood, Applied Mathematical Modelling, Vol 35 (2011) 5006–5016. DOI: 10.1016/j.apm.2011.04.011
[7]    He Zhengbin, Zijian Zhao, Yu Zhang, Huan Lv, Songlin Yi, 2015. Convective heat and mass transfer during vacuum drying process, Wood Research, Vol 60, No. 6, pp. 929 – 938,. http://www.woodresearch.sk/wr/201506/09.pdf
[8]    Fu, Z., Avramidis, S., Weng, X., Cai, Y., Zhou, Y., 2019. Influence mechanism ofradio frequency heating on moisture transfer and drying stress in larch boxed-heartsquare timber, Drying Technology, 1625 – 1632, https://doi.org/10.1080/07373937.2018.1526191
[9]    Guler, C., Dilek, B., 2020. Investigation of high-frequency vacuum drying on physical and mechanical properties of common oak (Quercus robur) and common walnut (Juglans regia) lumber”, Bio Research. Vol 15, No 4, 7861 – 7871.
[10] Scott Lyon, Scott Bowe, Michael Wiemann, 2021. Comparing Vacuum Drying  and Conventional Drying  Effects on the Coloration of  Hard Maple Lumber. Research Paper FPL-RP-708. Madison, WI: U.S. Department of Agriculture, Forest Service, Forest Products Laboratory.
[11] Aniesrani, D. S, DelfiyaK. PrashobS. MuraliP. V. AlfiyaManoj P. SamuelR. Pandiselvam, 2012. Drying kinetics of food materials in infrared radiation drying: A review, Journal of Food process Engineering
[12] Sachin Gupta1, V. S. Kishan Kumar, 2017. An easy drying schedule for Tectona grandis through vacuum press drying, Ciência da Madeira (Brazilian Journal of Wood Science).
[13] Gunduz, G.; Aydemir, D.; Karakas, G. 2009. The effects of thermal treatment on the mechanical properties of wild pear (Pyrus elaeagnifolia Pall.) wood and changes in physical properties. Materials and Design , 30(10), 4391–4395
[14] Allegretti, O.; Brunetti, M.; Cuccui, I.; Ferrari, S.; Nocetti, M.; Terziev, N.,2012.Thermo-vacuum modification of spruce (Picea abies Karst.) and fir (Abies alba Mill.) wood. BioResources , 7(3), pp. 3656–3669.
[15] Surini, T.; Charrier, F.; Malvestio, J.; Charrier, B.; Moubarik, A.; Castéra, P.; Grelier, S,2012. Physical properties and termite durability of maritime pine Pinus pinaster Ait heat-treated under vacuum pressure. Wood Science and Technology, 46, 487–501.
[16] Jae-Woong Han, Dong-Hyuk Keum, Woong Kim, Le Anh Duc, Sung-Ho Cho, Hoon Kim, 2010. Circulating concurrent-flow drying simulation of rapeseed, Journal of Biosystems Engineering, Korean Society for Agricultural Machinery, Vol. 35, No.6, 401 – 407. https://doi.org/10.5307/JBE.2010.35.6.401
[17] Xuan-Quang Nguyen, Anh-Duc Le, Ngoc-Phuong Nguyen, Hay Nguyen, 2019. Thermal diffusivity, moisture diffusivity, and color change of Codonopsis javanica with the support of the Ultrasound for drying, Journal of Food Quality, Vol.2019, Article ID 2623404,13. https://doi.org/10.1155/2019/2623404
[18] Rautkari, L.; Honkanen, J.; Hill, C.A.S.; Ellis, D.R.; Hughes, M. 2014. Mechanical and physical properties of thermally modified Scots pine wood in high pressure reactor under saturated steam at 120, 150 and 180°C. European Journal of Wood and Wood Products 2014, 72, pp. 33–41.
[19] Sahin, H.T.; Arslan, M.B.; Korkut, S.; Sahin, C. 2011. Colour changes of heat-treated woods of red-bud maple, European hophornbeam and oak. Color Research & Application, 36(6), 462–466.
[20] Sattho, T., Yamsaengsung, R., 2005. Vacuum drying of rubberwood. PSU-UNS International Conference on Engineering and Environment - ICEE-2005, Novi Sad 19-21, University of Novi Sad, Faculty of Technical Sciences Trg D. Obradovića 6, 21000 Novi Sad, Serbia & Montenegro.
[21] Yan Yang, Jianxiong Lu, Chunlei Dong, Tianyi Zhan, Jinghui Jiang and Bei Luo, 2016. Mathematical model of heat and moisture transfer in Alder Birch wood during the thermo-vacuum treatment and its application in the quantitative control of the wood color, Drying Technology, Vol 34, No.13, 1567-1582, https://doi.org/10.1080/07373937.2015.1137308
[22] Safary, M. and Amiri Chayjan, R., 2016. Optimization of Almond Kernels Drying under Infrared-vacuum Condition with Microwave Pretreatment using Response Surface Method and Genetic Algorithm, Journal of Agricultural Science and Technology 18:1543-1556.
[23] J. Siau F, 1984. Transport Processes in Wood. Springer-Verlag: Berlin, Heidelberg, New York, 1984.
[24] Stanish, M.A, Schajer, G.S, Kayihan, F. A, 1986. Mathematical model of drying for hygroscopic porous media, AICHE Journal 1986, 32(8), 1301–1311.  https://doi.org/10.1002/aic.690320808
[25] Torres. S. S., Jomaa. W. , Puiggali. J. R. , Avramidis. S., 2011. Multiphysics modeling of vacuum drying of wood. Applied Mathematical Modelling, Vol 35 (2011) pp. 5006–5016.
[26] Zhengbin He, Yu Zhang, Zhenyu Wang, Zijian Zhao, and Songlin Yi, 2016. Reducing wood drying time by application of ultrasound pretreatment, Drying technology, Vol. 34, No.10, pp. 1141 – 1146. https://doi.org/10.1080/07373937.2015.1099107

### History

• Receive Date: 29 May 2023
• Revise Date: 07 January 2024
• Accept Date: 09 January 2024