A.V. Lykov, The Theory of Heat Conduction[in Russian], Vysshaya Shkola, Moscow (1967). INFLUENCE. OF HEAT. CONDUCTION. OF. THE .... y,V-a @ y'V~)2 ].
3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
A . F . B o g a t y r e v , l~. N. Bondareva, and T . S. R u m y a n t s e v a , in: Diffusion in Gases and Liquids [in Russian], Kazakh State Univ., A l m a - A t a (1974), p. 57. G . P . Martynova, L. I. Kurlapov, and N. D. Kosov, Izv. Akad. Nauk KazSSR, Set. F i z . - M a t . , No. 2 (1975). L . I . Kurlapov and S. N. Chernyak, in: Diffusion i n G a s e s and Liquids [in Russian], Kazakh State U n i v . , A l m a - A t a (1974). N . D . Kosov, L. I. Kurlapov, andS. N. Chernyak, in: Applied and T h e o r e t i e a l P h y s i e s [inRussian], Kazakh State Univ., No. 9, A l m a - A t a (1977). S . N . Chernyak a n d L . I. Kurlapov, in: Diffusion in G a s e s a n d Liquids [in Russian], Kazakh State Univ. , A l m a - A t a (1974). L . I . Kurlapov and G. P. Martynova, T e o r . Osn. Khim. T e k h n o l . , 4, No. 3 (1970). I . F . Golubev and N. E. Gnezdilov, V i s c o s i t y o f Gas Mixtures [in Russian], Gos. Kom. Stand. Sov. Min. SSSR, Moscow (1971). L . I . Kurlapov, Zh. T e k h . F i z . , 4_66, No. 8 (1976). A . F . B o g a t y r e v , N. D. Kosov, and L. I. Kurlapov, in: Some P r o b l e m s of G e n e r a l andApplied P h y s i c s [in Russian], Nauka, A l m a - A t a (1972). A . V . Lykov, The T h e o r y of Heat Conduction[in Russian], Vysshaya Shkola, Moscow (1967).
INFLUENCE THE
OF
WALL
NUMBER
ON IN
P.
HEAT
I.
THE
THE
CONDUCTION
OF
TURBULENT VISCOUS
PRANDTL SUBLAYER
UDC 532.517.4
Geshev
T e m p e r a t u r e pulsations in the viscous sublayer and in the heat-conducting wall a r e analyzed. The analytical dependence of the c r i t e r i o n P r t on the p a r a m e t e r s P r and A and the coordinate y+ is d e t e r m i n e d . In [1-2] it is shown that inthe viscous s u b l a y e r of a turbulent boundary s t r e a m the c h a r a c t e r i s t i c s of the wall m a t e r i a l affect the magnitude of the t e m p e r a t u r e pulsations, and a d i m e n s i o n l e s s c r i t e r i o n is obtained for this effect: A = ~f(pcph)2/(pCph) 1 . The influence of the m o l e c u l a r Prandtl n u m b e r (or the Schmidt n u m b e r S c in the c a s e of m a s s t r a n s f e r [3])on the turbulent t r a n s f e r in the viscous s u b l a y e r was investigated theoretically in [3-5]. The influence of the wall m a t e r i a l was p a r t i a l l y taken into account in [3-5] by s e t t i n g u p different boundary conditions: of the f i r s t kind [0 (y =0) = 0] or of the second kind [(a0/~])(y = 0)= 0]. This c o r r e s p o n d s to A =~ and A =0. In t h e p r e s e n t p a p e r the theory of [3-5] is g e n e r a l i z e d to a r b i t r a r y values of A. We will s t a r t f r o m the following equations for the t e m p e r a t u r e pulsations:
O0 dT --+v--=a-Ot dy
020 Oy2
O~--~-=b 02~ Ot Oy2
o=~ '
ay
(y>o),
(1)
(y
