Abstract
A variational method, is presented for solving a class of integral equations which arise in radiation heat-transfer problems. First, to demonstrate the formulation of radiation problems in terms of integral equations, consideration is given to a system consisting of two nonblack, finite, parallel plates. After a general description of the variational method, its use is illustrated by application to the parallel-plate system. Comparisons are made which show very good agreement with exact solutions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 375-380 |
| Number of pages | 6 |
| Journal | Journal of Heat Transfer |
| Volume | 82 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jan 1 1960 |
Fingerprint
Cite this
Application of variational methods to radiation heat-transfer calculations. / Sparrow, E. M.
In: Journal of Heat Transfer, Vol. 82, No. 4, 01.01.1960, p. 375-380.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Application of variational methods to radiation heat-transfer calculations
AU - Sparrow, E. M.
PY - 1960/1/1
Y1 - 1960/1/1
N2 - A variational method, is presented for solving a class of integral equations which arise in radiation heat-transfer problems. First, to demonstrate the formulation of radiation problems in terms of integral equations, consideration is given to a system consisting of two nonblack, finite, parallel plates. After a general description of the variational method, its use is illustrated by application to the parallel-plate system. Comparisons are made which show very good agreement with exact solutions.
AB - A variational method, is presented for solving a class of integral equations which arise in radiation heat-transfer problems. First, to demonstrate the formulation of radiation problems in terms of integral equations, consideration is given to a system consisting of two nonblack, finite, parallel plates. After a general description of the variational method, its use is illustrated by application to the parallel-plate system. Comparisons are made which show very good agreement with exact solutions.
UR - http://www.scopus.com/inward/record.url?scp=85012638982&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85012638982&partnerID=8YFLogxK
U2 - 10.1115/1.3679957
DO - 10.1115/1.3679957
M3 - Article
AN - SCOPUS:85012638982
VL - 82
SP - 375
EP - 380
JO - Journal of Heat Transfer
JF - Journal of Heat Transfer
SN - 0022-1481
IS - 4
ER -