1959 年 23 巻 2 号 p. 66-70
Although the studies on the heat transfer in non-Newtonian flow are increasing in recent years, the law of similarity of the heat transfer is not yet established. It is true that the previous investigators tried to find correlation between the experimental data on the heat transfer and various dimensionless numbers, but there is observed no consistency between them.
In this paper, the author describes the law of similarity of the heat transfer in non-Newtonian flow which he has derived, using the fundamental equation. The results may be summarized as follows:
(1) Pseudoplastic and dilatant fluid:
(a) Natural Convection
Nu=f1(Gr, Pr2)
(b) Forced convection
Nu=f2(Re, Pr1):
(2) Bingham fluid:
(a) Natural convection
Nu=f3(Gr, cGr, Pr, cPr)
(b) Forced convection
Nu=f4(Re, cRe, Pr, cPr)