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HANSER Hanser Publishers, Munich • Hanser Gardner Publications ...

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The equation for the turbulent flow in a tube is given by [16]<br />

where<br />

n = 0.4 for heating<br />

n = 0.3 for cooling<br />

(3.54)<br />

The following equation applies to laminar flow in a tube with a constant wall temperature<br />

[3]<br />

where<br />

d{ = inside tube diameter<br />

/ = tube length<br />

The expression for the laminar flow heat transfer to flat plate is [3]<br />

Equation 3.56 is valid for Pr = 0.6 to 2000 and Re < 10 5 .<br />

The equation for turbulent flow heat transfer to flat plate is given as [3]<br />

Equation 3.57 applies for the conditions:<br />

Pr = 0.6 to 2000 and 5 <strong>•</strong> 10 5 < Re < 10 7 .<br />

(3.55)<br />

(3.56)<br />

(3.57)<br />

The properties of the fluids in the equations above are to be found at a mean fluid<br />

temperature.<br />

Example<br />

A flat film is moving in a coating equipment at a velocity of 130 m/min on rolls that are<br />

200 mm apart. Calculate the heat transfer coefficient a if the surrounding medium is air<br />

at a temperature of 50 0 C.<br />

Solution<br />

The properties of air at 50 0 C are:<br />

Kinematic viscosity v = 17.86 <strong>•</strong> 10" 6 m 2 /s<br />

Thermal conductivity A = 28.22 <strong>•</strong> 10" 3 W/(m <strong>•</strong> K)<br />

Prandtl number Pr = 0.69

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