Extension of the Reduced Integration Scheme to Calculate the Direct Exchange Areas in 3D Rectangular Enclosures with Nonscattering Media
Joint Authors
Li, Guo-Jun
Li, Ben-Wen
Sun, Ya-Song
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The evaluation of direct exchange areas (DEA) in zonal method is the most important task due to the heavy computer cost of multi-integrals together with the existing of singularities.
A technique of variable transformation to reduce the fold of integrals, which was developed originally by Erkku (1959) to calculate the DEAs of uniformly zonal dividing cylindrical system, was extended by Tian and Chiu (2003) for nonuniformly zonal dividing cylindrical system with large thermal gradients.
In this paper, we further extend the reduced integration scheme (RIS) to calculate the DEAs in three-dimensional rectangular system.
The detail deductions of six-, five-, and fourfold integrals to threefold ones are presented; the DEAs in a rectangular system with assumption of gray medium are computed by the Gaussian quadrature integration (GQI) and the RIS comparatively.
The comparisons reveal that the RIS can provide remarkable higher accuracy and efficiency than GQI.
More interestingly and practicably, the singularities of DEAs can be decomposed and weakened obviously by RIS.
American Psychological Association (APA)
Li, Guo-Jun& Li, Ben-Wen& Sun, Ya-Song. 2015. Extension of the Reduced Integration Scheme to Calculate the Direct Exchange Areas in 3D Rectangular Enclosures with Nonscattering Media. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074518
Modern Language Association (MLA)
Li, Guo-Jun…[et al.]. Extension of the Reduced Integration Scheme to Calculate the Direct Exchange Areas in 3D Rectangular Enclosures with Nonscattering Media. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1074518
American Medical Association (AMA)
Li, Guo-Jun& Li, Ben-Wen& Sun, Ya-Song. Extension of the Reduced Integration Scheme to Calculate the Direct Exchange Areas in 3D Rectangular Enclosures with Nonscattering Media. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074518
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074518