The study of thermal field of an object represented in the basis of green functions
DOI:
https://doi.org/10.15587/1729-4061.2016.79570Keywords:
thermal field, heat conduction equation, Green function, method of integral transform, Laplace transform, boundary conditions, visualization systemAbstract
Existing means of thermal field modeling for the construction of the real time spatial distribution of the field were analyzed. The expediency of using the method of integral transformations for solving heat conduction problems was shown.
Based on the comparison of methods of thermal fields construction method of integral transformations in the basis of the Green's functions was chosen. Construction of Green's functions for the use in the experimental facility is performed by the method of Laplace integral transforms.
Software, generated based on the use of Matlab environment, allows to adjust the visualized field pattern by actual measured temperature values. Temperature point values of the experimental facility field were measured by NAT thermocouples, that are connected to a PC through OWEN 150UM controller interface, which makes it possible not only to form an array of measured values of the temperature, but also to adjust the time-varying boundary conditions of the calculated heat equation.
The main purpose of the research is to assess the performance of the developed algorithms to reduce the field frame modeling time, which would allow to use the resulting pattern of the thermal field distribution in the industrial thermal facilities control process.
The advantage of the thermal field constructing algorithm in the basis of the Green's function is the ability of the independent calculation of all points of the investigated area, allowing in the future to speed up the computation by applying high-performance computing.
References
- Kulіnchenko, G., Mozok, E. (2015). Hardware and software for estimations of the thermal field. Herald of the National Technical University "KhPI, 33 (1142), 98–107.
- Simchuk, O., Misak, V. (2010). Modelling and automation of the furnace for burning bricks. Eastern-European Journal of Enterprise Technologies, 4 (3 (48)), 29–31. Available at: http://journals.uran.ua/eejet/article/view/3243/3045
- Pokorny, P., Gerza, M. (2011). The Visualization of the Thermal Flow in a Glass Furnace. 15th WSEAS international conference on Computers, 15, 67–70.
- Mistry, H., Ganapathi-subbu, Dey, S., Bishnoi, P., Castillo, J. L. (2006). Modeling of transient natural convection heat transfer in electric ovens. Applied Thermal Engineering, 26 (17-18), 2448–2456. doi: 10.1016/j.applthermaleng.2006.02.007
- Habib, M. A., Ben-Mansour, R., Antar, M. A. (2005). Flow field and thermal characteristics in a model of a tangentially fired furnace under different conditions of burner tripping. Heat and Mass Transfer, 41 (10), 909–920. doi: 10.1007/s00231-004-0593-6
- ThermNet thermal simulation software. Infolitica corporation aircraft. Available at: http://www.infolytica.com/en/products/thermnet/
- Protasov, A. (2009). Application of FEMLAB software for simulation of the thermal method for nondestructive testing processes. American Society for Engineering Education, 182, 71–80.
- Margeirsson, B. (2008). Temperature monitoring and CFD Modelling of a Cold Storage. Cold Chain Management 3rd International Workshop.
- Temperature and humidity mapping. Available at: http://elin.ru/files/pdf/Application/thermal-mapping(en)-revA.pdf
- Coexdaq smart system. Composites expertise for aircraft. Available at: http://www.coexpair.com/Equipment/smart-systems/
- Dymap Software. Temperature Technology. Available at: http://www.t-tec.com.au/dataloggers/T-TEC-data-logger-software/dymap-software/
- Choi, S.-H., Choi, J., Kim, J.-Y. (2015). Nondestructive testing system with heat transfer characteristics in composite materials. International Journal of Precision Engineering and Manufacturing, 16 (7), 1583–1589. doi: 10.1007/s12541-015-0208-9
- Tsai, B., Gibson, C. (2004). Heat-Flux Sensor Calibration. National Institute of Standards and Technology Special Publication.
- Zienkiewicz, O. C., Taylor, R. L., Zhu, J. Z. (2013). The Finite Element Method: Its Basis and Fundamentals, Seventh Edition. Oxford: Butterworth-Heinemann, 756.
- Guliaev, A. (2008). Recovery and precision of temperature field during firing hearth of the electrolyzer, the problem deals with methods. Scientific publications journal of graduate and doctoral students, 3, 11–15.
- Qin, Q.-H. (2014). Green’s Functions of Magneto-Electro-Elastic Plate Under Thermal Loading. Encyclopedia of Thermal Stresses, 38, 2096–2103. doi: 10.1007/978-94-007-2739-7_96
- Chernyshov, A. (2009). Control of objects thermal fields with distributed parameters. Bulletin of the Tomsk Polytechnic University, 4, 24–27.
- Kartashov, E. M. (2013). A new approach in the Green's function method for solving boundary value problems of Dirichlet and Neumann for the Laplace equation. Engineering Journal: Science and Innovation. Available at: http://engjournal.ru/articles/900/900.pdf
- Cole, K., Beck, J. (2011). Heat Conduction Using Green’s Functions. Boca Raton: Taylor and Francis Group.
- Cole, K. D., Beck, J. V., Woodbury, K. A., de Monte, F. (2014). Intrinsic verification and a heat conduction database. International Journal of Thermal Sciences, 78, 36–47. doi: 10.1016/j.ijthermalsci.2013.11.002
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