e inner and outer surfaces are estimated to be o.0004 and o.0002 m2 . K/W, respectively. Fouling R, factors Tube, SS302 Water Tmi= 75°C 4mi = 0.5 m/s D D. V = 20 m/s T,= 15°C Air ) Determine the overall heat transfer coefficient based on the outside area of the tube, U .. Compare the thermal resistances due to convection, tube wall puling.

Elements Of Electromagnetics
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11.3 A type-302 stainless steel tube of inner and outer diameters D;= 22 mm and D, = 27 mm, respectively, is used in a cross-flow heat exchanger. The fouling factors, R', for
the inner and outer surfaces are estimated to be o.0004 and o.0002 m² . K/W, respectively.
Fouling R,
factors
Tube, SS302
R
Water
Tmi= 75°C
umi= 0.5 m/s
D; D.
V,= 20 m/s
T,= 15°C
Air
(a) Determine the overall heat transfer coefficient based on the outside area of the tube, U o. Compare the thermal resistances due to convection, tube wall conduction, and
fouling.
(b) Instead of air flowing over the tube, consider a situation for which the cross-flow fluid is water at 15°C with a velocity of V, =1m/s. Determine the overall heat transfer
coefficient based on the outside area of the tube, Uo. Compare the thermal resistances due to convection, tube wall conduction, and fouling.
(c) For the water-air conditions of part (a) and mean velocities, u m. i, of o.2, 0.5, and 1.0 m/s, plot the overall heat transfer coefficient as a function of the cross-flow velocity for
5s Vos 30 m/s.
(d) For the water-water conditions of part (b) and cross-flow velocities, V o, of 1, 3, and 8 m/s, plot the overall heat transfer coefficient as a function of the mean velocity for 0.5
S um, i s 2.5 m/s.
Transcribed Image Text:11.3 A type-302 stainless steel tube of inner and outer diameters D;= 22 mm and D, = 27 mm, respectively, is used in a cross-flow heat exchanger. The fouling factors, R', for the inner and outer surfaces are estimated to be o.0004 and o.0002 m² . K/W, respectively. Fouling R, factors Tube, SS302 R Water Tmi= 75°C umi= 0.5 m/s D; D. V,= 20 m/s T,= 15°C Air (a) Determine the overall heat transfer coefficient based on the outside area of the tube, U o. Compare the thermal resistances due to convection, tube wall conduction, and fouling. (b) Instead of air flowing over the tube, consider a situation for which the cross-flow fluid is water at 15°C with a velocity of V, =1m/s. Determine the overall heat transfer coefficient based on the outside area of the tube, Uo. Compare the thermal resistances due to convection, tube wall conduction, and fouling. (c) For the water-air conditions of part (a) and mean velocities, u m. i, of o.2, 0.5, and 1.0 m/s, plot the overall heat transfer coefficient as a function of the cross-flow velocity for 5s Vos 30 m/s. (d) For the water-water conditions of part (b) and cross-flow velocities, V o, of 1, 3, and 8 m/s, plot the overall heat transfer coefficient as a function of the mean velocity for 0.5 S um, i s 2.5 m/s.
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