Abstract
An examination is made of the use of adjoint functions in heat conduction and convection theory. Formulas of perturbation theory are obtained for steady and unsteady cases, an interpretation of the physical meaning of adjoint temperature is given, and some applications of the theory are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- λ(r,τ):
-
thermal conductivity
- t(r,τ):
-
temperature
- t *(r,τ):
-
adjoint temperature
- qV(r,τ):
-
density of heat release sources
- p(r,τ):
-
a parameter of adjoint equation
- r:
-
generalized coordinate
- τ:
-
time
- α(rs, τ):
-
heat transfer coefficient
- I:
-
linear functional of temperature
- Θ(r,τ;r0,τ0) and Θ *(r,τ; r0,τ0):
-
Green's function for t(r, τ) and t *(r, τ)
- Cγ(r,τ):
-
volume specific heat
- W(r, τ):
-
vector distribution of flow velocities
- V, S:
-
volume and surface areas of body
- R:
-
radius of HRE
- r, ϕ:
-
radial and angular coordinates
- Fin, Fout :
-
inlet and outlet flow areas of channel
References
L. N. Usachev, Papers Presented by the Soviet Delegation at the 1st Geneva Conference [in Russian], 1955.
B. B. Kadomtsev, DAN SSSR, 113, no. 3, 1957.
G. I. Marchuk and V. V. Orlov, collection: Neutron Physics [in Russian], Gosatomizdat, 1961.
A. A. Abagyan, G. I. Fruzhinina, A. A. Dubinin, S. M. Zaritskii, V. V. Ovlov, V. Ya. Pupko,
P. Suvorov, L. N. Usachev, and R. P. Fedorenko, Paper no. 364 of the Third Geneva Conference, 1964.
S. S. Kutateladze, Fundamentals of the Theory of Heat Transfer [in Russian], Mashgiz, 1962.
L. S. Sobolev, Equations of Mathematical Physics [in Russian], Gostekhizdat, 1947.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pupko, V.Y. Use of adjoint functions in investigations of heat conduction and transfer processes. Journal of Engineering Physics 11, 136–139 (1966). https://doi.org/10.1007/BF00831271
Issue Date:
DOI: https://doi.org/10.1007/BF00831271