Accelerated Method for Surface View Factor Evaluation Based on Error Estimation

Roman Koptelov; German Malikov; Vladimir Lisienko; Raymond Viskanta

doi:10.1115/1.4027251

Journal of Heat Transfer | Volume 136 | Issue 7 | Technical Brief

< Previous Article Next Article >

Technical Brief

Accelerated Method for Surface View Factor Evaluation Based on Error Estimation

Roman Koptelov, German Malikov, Vladimir Lisienko and Raymond Viskanta

[+] Author and Article Information

Roman Koptelov

Ural Federal University,
19 Mira Street,
Ekaterinburg 620002, Russia
e-mail: r-koptelov@mail.ru

German Malikov, Vladimir Lisienko

Ural Federal University,
19 Mira Street,
Ekaterinburg 620002, Russia

Raymond Viskanta

Purdue University,
West Lafayette, IN 47907
e-mail: viskanta@ecn.purdue.edu

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 22, 2013; final manuscript received March 17, 2014; published online April 8, 2014. Assoc. Editor: Zhixiong Guo.

J. Heat Transfer 136(7), 074502 (Apr 08, 2014) (4 pages) Paper No: HT-13-1431; doi: 10.1115/1.4027251 History: Received August 22, 2013; Revised March 17, 2014

Article

References

Figures

Tables

Citing Articles

Abstract

An algorithm for choosing the number of quadrature nodes before calculation of a view factor is proposed. Simple criterion is introduced that allows one to estimate the error in the computed view factor. The algorithm allows one to save much computation time by always using the minimum number of nodes for each pair of surface zones and insures a desired accuracy. The algorithm is applied for model of a continuous furnace and is compared with a standard method which uses predefined number of nodes at each surface. The proposed algorithm is many times faster and also more accurate than the standard one.

FIGURES IN THIS ARTICLE

Purchase this Content

$25.00

Purchase

Learn about subscription and purchase options

Your Session has timed out. Please sign back in to continue.

References

Emery, A. F., Johansson, O., Lobo, M., and Abrous, A., 1991, “A Comparative Study of Methods for Computing the Diffuse Radiation Viewfactors for Complex Structures,” ASME J. Heat Transfer, 113, pp. 413–422. [CrossRef]

Malikov, G., Lisienko, V., Koptelov, R., Kalugin, J., and Viskanta, R., 2010, “A Numerical Investigation of Ray Tracing Method in a View Factor Calculation Procedure for Zonal Radiation Heat Transfer in Complex Systems,” Proc. ASME Int. Mech. Eng. Congr. Expo., 9(Pt. A), pp. 501–505.

Glassner, A. S., 1990, Graphics Gems I, Academic Press, New York, pp. 301–303.

Mitalas, G. P., and Slephenson, D. G., 1966, “Fortran IV Programs to Calculate Radiant Interchange Factors,” NRC of Canada, Report No. DBR-25.

Ravishankar, M., Mazumder, S., and Sankar, M., 2010, “Application of the Modified Differential Approximation for Radiative Transfer to Arbitrary Geometry,” J. Quant. Spectrosc. Radiat. Transfer, 111(14), pp. 2052–2069. [CrossRef]

Walton, G. N., 2002, “Calculation of Obstructed View Factors by Adaptive Integration, National Institute of Standards and Technology,” Report No. NISTIR 6925.

Mazumder, S., 2008, “Methods to Accelerate Ray Tracing in the Monte Carlo Method for Surface-to-Surface Radiation Transport,” ASME J. Heat Transfer, 128(9), pp. 945–952. [CrossRef]

Figures

Fig. 1

Geometry and nomenclature for ED

View Large | Save Figure | Download Slide (.ppt)

Fig. 2

Quadrilaterals: (a)–(d) basic quadrilaterals and (e) transformation of second quadrilateral

View Large | Save Figure | Download Slide (.ppt)

Fig. 3

Dependence between relative error in computed view factors and ED. Each point represents one of 5 × 10⁵ view factors. Only view factors more than 10⁻⁴ were calculated.

Dependence between relative error in computed view factors and ED. Each point represents one of 5 × 105 view factors. Only view factors more than 10−4 were calculated.

View Large | Save Figure | Download Slide (.ppt)

Fig. 4

Model of continuous furnace in Chelyabinsk, Russia

View Large | Save Figure | Download Slide (.ppt)

Tables

Errata

Web of Science® Times Cited: 1

Some tools below are only available to our subscribers or users with an online account.

Sections
PDF
Email

You must be logged in as an individual user to share content.

Return to: Accelerated Method for Surface View Factor Evaluation Based on Error Estimation

Copyright in the material you requested is held by the American Society of Mechanical Engineers (unless otherwise noted). This email ability is provided as a courtesy, and by using it you agree that you are requesting the material solely for personal, non-commercial use, and that it is subject to the American Society of Mechanical Engineers' Terms of Use. The information provided in order to email this topic will not be used to send unsolicited email, nor will it be furnished to third parties. Please refer to the American Society of Mechanical Engineers' Privacy Policy for further information.
Share
Get Citation

Koptelov R, Malikov G, Lisienko V, Viskanta R. Accelerated Method for Surface View Factor Evaluation Based on Error Estimation. ASME. J. Heat Transfer. 2014;136(7):074502-074502-4. doi:10.1115/1.4027251.

Download citation file:

RIS (Zotero)

EndNote

BibTex

Medlars

ProCite

RefWorks

Reference Manager

© Copyright
Get Alerts

Processing your request... Please Wait.

Accelerated Method for Surface View Factor Evaluation Based on Error Estimation

Abstract

FIGURES IN THIS ARTICLE

References

Figures

Tables

Errata

Related Content

Journals

Conference Proceedings

eBooks