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11.3 A type-302 stainless steel tube of inner and outer diameters D₁ = 22 mm and Do = 27 mm, respectively, is used in a cross-flow heat exchanger. The fouling factors, Rf, for the inner and outer surfaces are estimated to be 0.0004 and 0.0002 m² K/W, respectively. Fouling Ro factors R Water Tmi = 75°C umi= 0.5 m/s Air V = 20 m/s T₁= 15°C Tube, SS302 Di Do (a) 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. (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 Vo = 1 m/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, um, i, of 0.2, 0.5, and 1.0 m/s, plot the overall heat transfer coefficient as a function of the cross-flow velocity for 5≤ V, ≤ 30 m/s. (d) For the water-water conditions of part (b) and cross-flow velocities, Vo, of 1, 3, and 8 m/s, plot the overall heat transfer coefficient as a function of the mean velocity for 0.5 ≤ um, i ≤ 2.5 m/s.

11.3 A type-302 stainless steel tube of inner and outer diameters D₁ = 22 mm and Do = 27 mm, respectively, is used in a cross-flow heat exchanger. The fouling factors, Rf, for the inner and outer surfaces are estimated to be 0.0004 and 0.0002 m² K/W, respectively. Fouling Ro factors R Water Tmi = 75°C umi= 0.5 m/s Air V = 20 m/s T₁= 15°C Tube, SS302 Di Do (a) 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. (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 Vo = 1 m/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, um, i, of 0.2, 0.5, and 1.0 m/s, plot the overall heat transfer coefficient as a function of the cross-flow velocity for 5≤ V, ≤ 30 m/s. (d) For the water-water conditions of part (b) and cross-flow velocities, Vo, of 1, 3, and 8 m/s, plot the overall heat transfer coefficient as a function of the mean velocity for 0.5 ≤ um, i ≤ 2.5 m/s.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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11.3 A type-302 stainless steel tube of inner and outer diameters D¡ = 22 mm and Do = 27 mm, respectively, is used in a cross-flow heat exchanger. The fouling factors, R'f, for the inner and outer surfaces are estimated to be 0.0004 and 0.0002 m² K/W, respectively. Fouling Ro factors Water Tm.i= 75°C um,i = 0.5 m/s Ri Air V₂ = 20 m/s T= 15°C Tube, SS302 Di Do (a) 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. (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 Vo = 1 m/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, um, i, of 0.2, 0.5, and 1.0 m/s, plot the overall heat transfer coefficient as a function of the cross-flow velocity for 5≤ Vo ≤ 30 m/s. (d) For the water-water conditions of part (b) and cross-flow velocities, Vo, of 1, 3, and 8 m/s, plot the overall heat transfer coefficient as a function of the mean velocity for 0.5 ≤ um, i ≤ 2.5 m/s.
Transcribed Image Text:11.3 A type-302 stainless steel tube of inner and outer diameters D¡ = 22 mm and Do = 27 mm, respectively, is used in a cross-flow heat exchanger. The fouling factors, R'f, for the inner and outer surfaces are estimated to be 0.0004 and 0.0002 m² K/W, respectively. Fouling Ro factors Water Tm.i= 75°C um,i = 0.5 m/s Ri Air V₂ = 20 m/s T= 15°C Tube, SS302 Di Do (a) 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. (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 Vo = 1 m/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, um, i, of 0.2, 0.5, and 1.0 m/s, plot the overall heat transfer coefficient as a function of the cross-flow velocity for 5≤ Vo ≤ 30 m/s. (d) For the water-water conditions of part (b) and cross-flow velocities, Vo, of 1, 3, and 8 m/s, plot the overall heat transfer coefficient as a function of the mean velocity for 0.5 ≤ um, i ≤ 2.5 m/s.
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