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• • Calculation No. 145579-D-056, Rev. 1<br />

Attachment 3<br />

Page 19 of 22<br />

OGTS Bypass External Convection and Thermal Radiation Coefficients<br />

's i<br />

Y4 ar<br />

>a r m^<br />

^VIe^dag=FreeConvecpontC4<br />

o^,^ ^^ ^. ,^a ^ 4<br />

el op& a aatkL<br />

Twl = 875 OF<br />

Temperature End I<br />

Tw2 = 250 OF Temperature End 2<br />

Ts = 562.5 OF Average Wall Temperature<br />

To = 115 OF Ambient Temperature<br />

dT = 447,5 OF Temperature difference<br />

h = 1.45 13tu/hr-ft^2-°F Vertical Plane or Cylinder h = 0.19 * dT^1/3<br />

h = 1.38 Btu/hr-ft^2 °F Horizontal C tinder h = 0.18 * dT^1/3<br />

h = 1.68 Btu/hr-ft-2--F Horizontal Plate - heated face u h = 0.22 * dT^1/3<br />

Forced convection, flow across a cylinder (Holman 1990, e n. 6-21):<br />

0.32Rt<br />

x;2 Pr.ra<br />

N'ur.D =0.3+ °<br />

[1 + (0.4 / PT}us ]"' L<br />

sre1.rs<br />

r Re<br />

(1+f ° ^ I ReQ- Pr > 1}.2<br />

+ 282,000 ! )<br />

Nufd = 0.3+A*B/C Forced Convection, Nusselt No.<br />

A'= 0.62Rea !nPr' r' $ _ 1t Red/282,000 S18 ^43,' O., 1r't, 0`4L1xx T13 ^<br />

D = 8.6 Inch Dia of Pie 0.21844 meters<br />

U = 0.1 Mph Free Stream Air Vel. 0.0447 m/s<br />

Ts = 562.5 OF Pipe Wall Temperature 294.72 °C<br />

To = 115 OF Ambient Temperature 46.11 °C<br />

Tf = 338.75 OF Air Film Temperature 170.42 °C<br />

vf = 0.00019 sq ft/sec Viscosity of Air 1.8E-05 sq. m/s<br />

Red = 5.45844E+02 Dimensionless Reynolds No.<br />

Pr = 0.7778 Dimensionless Prandtl No.<br />

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N A. r<br />

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