Steam at 1 atm and 100°C is flowing across a 5-cm-OD tube at a velocity of 6 m/s. Estimate the Nusselt number, the heat transfer coefficient, and the rate of heat transfer per meter length of pipe if the pipe is at 200°C.

GIVEN

• Steam flowing across a tube

• Steam pressure = 1 atm

• Steam bulk temperature (Tb) = 100°C

• Tube outside diameter (D) = 5 cm = 0.05 m

• Steam velocity (V) = 6 m/s

• Pipe surface temperature (Ts) 200°C

FIND

(a) The Nusselt number Nu D (b) The heat transfer coefficient h c(c) The rate of heat transfer per unit length (q/L)

ASSUMPTIONS

• Steady state

SKETCH



PROPERTIES AND CONSTANTS

Thermal conductivity (k) = 0.0249 W/(m K) Kinematic viscosity (?) = 20.2 × 10–6 m2/s Prandtl number (Pr) = 0.987 At the tube surface temperature of 200°C, the Prandtl number of the steam (Prs) = 1.00


The Reynolds number is



(a) The Nusselt number for this geometry is given by





(c) The rate of heat transfer by convection from the tube is

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