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KURENAI : Kyoto University Research Information Repository

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*1.5*<br />

for -ln[1-{1-exp(-5.67Pr x )}0.671t<br />

h2--------------------------------------------------(55)<br />

{ 1 - exp(-5.67-Pr x )}0.33<br />

*1•5*<br />

for -ln[1-{1-exp(-5.67Pr x)}0•67] > t<br />

h* -----------------------2 *(56)<br />

v76 { 1 - exp(-t )}<br />

The transient heat transfer coefficient-calculated by Eqs.(55) and (56)<br />

* * 0.33<br />

is shown in Fig.7 in h vs x Pr plot.<br />

In view of Eqs.(52) and (55), the ratio between asymptotic transient<br />

heat transfer coefficient and steady state one is given by<br />

h aPr0•17*. a<br />

_a = 1.78x* (57)<br />

h stNust{ 1 - exp(-5.67 Pr x1.5)}0.33 •<br />

The value of h a/hst calculated by Eq.(57) for Pr = 1 is shown in Fig.4.<br />

II. 6 TURBULENT FLOW FOR Pr > 1<br />

For a turbulent flow, the velocity field is represented by turbulent<br />

126

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