To the solution of the equation of transfer of radiation by method of discrete ordinates in the axisymmetric domain
https://doi.org/10.30724/1998-9903-2017-19-7-8-78-84
Abstract
In this work the method of discrete ordinates is applied for the solution of the problem of transfering of radiation in a finite axisymmetric domain. Decisions for the conditions to model an absorbing medium are obtained. The results received with S2-, S4- approximations are given and their comparison with the experimental data of other scientists is carried out.
About the Author
A. V. Sadykov
Nizhnekamsk Institute of Chemical Technology (Branch) of " Kazan National Research Technological University " Nizhnekamsk
Russian Federation
сand. sci. (techn.), assiciate professor, Department of mathematics, Dean of management and automation faculty
Russian Federation
сand. sci. (techn.), assiciate professor, Department of mathematics, Dean of management and automation faculty
References
1. Dombrovsky L.A. The use of Transport Approximation and diffusion – based Models in Radiative Transfer Calculations // Computational Thermal Sciences. 2012. Vol.4. No.4. Pp. 297–315.
2. Carlson B.G., Lathrop K.D. Transport Theory – The Method of Discrete Ordinates: In Computing Methods in Reactor Physics. Edited by H. Greenspan, C.N. Kelber, D. Okrent. Gordon and Breach Science Publishers. New York. 1968.
3. Bass L.P. Of course – difference methods of solution of the equation of transfer in tasks with the composite geometry. The Keldysh Institute of Applied Mathematics, Ac. Of Sc., the USSR. The preprints No. 14, Moscow. 1974.P.75.
4. Jamaluddin A.S., Smith P.J. Predicting Radiative Transfer in Axisymmetric Cylindrical Enclosures Using the Discrete Ordinates Method // Combustion Science and Technology. 1988. Vol.62. No.4-6. Pp.173– 186.
5. Truelove J.S. Evaluation of a Multi-Flux Model for Radiative Heat Transfer in Cylindrical Furnaces. AERE R-9100,AERE Harwell, U.K. 1978.
6. Wu H.L., Fricker N. An Investigation of the Behavior of Swirling Jet Flames in a Narrow Cylindrical Furnace. 2nd. Members Conference, International Flame Research Foundation, Ijmuiden, The Niderlands. 1971.
7. Sadykov A.V., Sadykova D.A., Vafin D.B. Effect of the parameters of burner and their location on aerodynamics of combustion gases and thermal characteristics of cylindrical tubular furnaces // News of
8. HIGH SCHOOLS. Power problems. 2012. № 5-6. P.17–24.
9. Sadykov A.V., Vafin D.B. Unevenness of heating of reactionary pipes and distributions of temperature of products of combustion on depth of the technological tubular furnace // Thermal Processes in engineering. 2014. №8. P.349–355.
10. Sadykov A.V. Calculation of thermal characteristics of the cylindrical furnace with use of different methods of the solution of the equation of transfer of radiation // News of HIGH SCHOOLS. Power problems. 2016. № 9-10. P.43–47.
11. Vafin D.B., Butyakov M.A. Three-dimensional modeling work acoustic burners tubular furnaces // News of HIGH SCHOOLS. Power problems. 2016. № 9-10. P.48–55.
Review
For citations:
Sadykov A.V. To the solution of the equation of transfer of radiation by method of discrete ordinates in the axisymmetric domain. Power engineering: research, equipment, technology. 2017;19(7-8):78-84. (In Russ.) https://doi.org/10.30724/1998-9903-2017-19-7-8-78-84
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