Water at 310 K and a flow rate of 5 kg/s enters a black, thin-walled tube, which passes through a large furnace whose walls and air are at a temperature of 700 K. The diameter and length of the tube are 0.25 m and 8 m, respectively. Convection coefficients associated with water flow through the tube and airflow over the tube are 300 W/m²-K and 50 W/m².K, respectively. -Tube, D = 0.25 m L = 8 m, & = 1 Air T= 700 K Water m = 5 kg/s Imo m.i -Furnace, Tur 700 K = Write an expression for the linearized radiation coefficient corresponding to radiation exchange between the outer surface of the pipe and the furnace walls. Determine how to calculate this coefficient if the surface temperature of the tube is represented by the arithmetic mean of its inlet and outlet values. Use these expressions to determine the outlet temperature of the water, Tm,o, in K.

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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.16P
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Water at 310 K and a flow rate of 5 kg/s enters a black, thin-walled tube, which passes through a large furnace whose walls and air are
at a temperature of 700 K. The diameter and length of the tube are 0.25 m and 8 m, respectively. Convection coefficients associated
with water flow through the tube and airflow over the tube are 300 W/m²-K and 50 W/m².K, respectively.
-Tube, D = 0.25 m
L = 8 m, & = 1
Air
T= 700 K
Water
m = 5 kg/s
Imo
m.i
-Furnace, Tur 700 K
=
Write an expression for the linearized radiation coefficient corresponding to radiation exchange between the outer surface of the pipe
and the furnace walls. Determine how to calculate this coefficient if the surface temperature of the tube is represented by the
arithmetic mean of its inlet and outlet values. Use these expressions to determine the outlet temperature of the water, Tm,o, in K.
Transcribed Image Text:Water at 310 K and a flow rate of 5 kg/s enters a black, thin-walled tube, which passes through a large furnace whose walls and air are at a temperature of 700 K. The diameter and length of the tube are 0.25 m and 8 m, respectively. Convection coefficients associated with water flow through the tube and airflow over the tube are 300 W/m²-K and 50 W/m².K, respectively. -Tube, D = 0.25 m L = 8 m, & = 1 Air T= 700 K Water m = 5 kg/s Imo m.i -Furnace, Tur 700 K = Write an expression for the linearized radiation coefficient corresponding to radiation exchange between the outer surface of the pipe and the furnace walls. Determine how to calculate this coefficient if the surface temperature of the tube is represented by the arithmetic mean of its inlet and outlet values. Use these expressions to determine the outlet temperature of the water, Tm,o, in K.
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