Q3. Water flows at a velocity of 1 m/s through a pipe of 25 mm ID and 30mm OD and 3 m length. Air at 30°C flows across the tube, with a velocity of 12 m/s. The inlet temperature of the water is 60°C. Determine the exit temperature. The thermal conductivity of the tube material is 47 W/m-K. Inside: Water at 60°C enters the tube. Assuming a bulk mean temperature of 50°C, the property values are read: p = 990 kg/m3, v = 0.5675 × 10-6 m2/s, Pr = 3.68, k = 0.63965 W/mK Nu = 0.023 Re0.8 Pr0.3 (cooling) Air flows on the outside at 30°C. The property values are taken at 40°C (film temperature, approximate) p= 1.128 kg/m³, v = 16.96 × 106 m²/s, Pr=0.699, k=0.02756 W/mK Re = 12 x 0.03/16.96 × 10-6 = 21226.4 Using the correlation of the form Nu = C Rem Pr", for this range of Reynolds number C = 0.26, m = 0.6, n= 0.37 Ans (Tho= 59.66°C)

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Q3.
Water flows at a velocity of 1 m/s through a pipe of 25 mm ID and 30mm OD and 3 m length. Air
at 30°C flows across the tube, with a velocity of 12 m/s. The inlet temperature of the water is 60°C.
Determine the exit temperature. The thermal conductivity of the tube material is 47 W/m-K.
Inside: Water at 60°C enters the tube. Assuming a bulk mean temperature of 50°C, the
property values are read: p = 990 kg/m3, v = 0.5675 × 10-6 m2/s, Pr = 3.68, k = 0.63965 W/mK
Nu = 0.023 Re0.8 Pr0.3 (cooling)
Air flows on the outside at 30°C. The property values are taken at 40°C (film temperature,
approximate)
p= 1.128 kg/m³, v=16.96 × 10-6 m²/s, Pr= 0.699, k= 0.02756 W/mK
Re = 12 x 0.03/16.96 x 10-6 = 21226.4
Using the correlation of the form
Nu = C Rem Pr", for this range of Reynolds number
C = 0.26,
m = 0.6, n= 0.37
Ans (Tho= 59.66°C)
Transcribed Image Text:Q3. Water flows at a velocity of 1 m/s through a pipe of 25 mm ID and 30mm OD and 3 m length. Air at 30°C flows across the tube, with a velocity of 12 m/s. The inlet temperature of the water is 60°C. Determine the exit temperature. The thermal conductivity of the tube material is 47 W/m-K. Inside: Water at 60°C enters the tube. Assuming a bulk mean temperature of 50°C, the property values are read: p = 990 kg/m3, v = 0.5675 × 10-6 m2/s, Pr = 3.68, k = 0.63965 W/mK Nu = 0.023 Re0.8 Pr0.3 (cooling) Air flows on the outside at 30°C. The property values are taken at 40°C (film temperature, approximate) p= 1.128 kg/m³, v=16.96 × 10-6 m²/s, Pr= 0.699, k= 0.02756 W/mK Re = 12 x 0.03/16.96 x 10-6 = 21226.4 Using the correlation of the form Nu = C Rem Pr", for this range of Reynolds number C = 0.26, m = 0.6, n= 0.37 Ans (Tho= 59.66°C)
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