Temperature field in a plate containing a system of heat sources |
| |
Authors: | Yu M Kolyano M M Semerak I P Dmitrash |
| |
Affiliation: | (1) Institute of Applied Problems in Mechanics and Mathematics, Academy of Sciences of the Ukrainian SSR, Lvov |
| |
Abstract: | The temperature field is determined in a circular plate with a system of thin extrinsic heat sources.Notation T
temperature in the plate with the inclusions
- r
polar radius
-
polar angle
-
time
- (r,)
coefficient of thermal conductivity
-
(r,)
heat transfer coefficient
- C(r,)
volume heat capacity
- W(r,, )
specific intensity of the heat sources
-
half thickness of the plate
-
(x)
Dirac's delta function
- ¯T
finite Fourier cosine transform of the temperature
- p
parameter for this transformation
- T
Laplace transform of the temperature
- s
its parameter
- Iv(x)
Bessel function with imaginary argument of order
- K
v
(x)
the MacDonald function of order
-
and
dimensionless temperature
- Po
Pomerantz number
- Bi
Biot number
- Fo
Fourier's number
-
dimensionless polar radius
- b1
*
dimensionless radius of the circle on which the inclusions are placed
- R*
dimensionless radius of the plate
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 40, No. 3, pp. 495–502, March, 1981. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|