Air at 25°C flows at 50 × 10-6 kg/s within 100-mm-long channels used to cool a high thermal conductivity metal mold. Assume the flow is hydrodynamically and thermally fully developed. Air, Tmi = 25°C Mold, T=50°C- Case A Case B (a) Determine the rate of heat transferred, in W, to the air for a circular channel (D = (case A). 10 mm) when the mold temperature is 50°C (b) Consider air flowing under the same conditions as in case A, except now the channel is segmented into six smaller triangular sections. The flow area of case A is equal to the total flow area of case B. Determine the rate of heat transferred, in W, to the air for the segmented channel. (c) Determine the pressure drops for cases A and B, both in Pa.

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Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.54P
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Air at 25°C flows at 50 × 10-6 kg/s within 100-mm-long channels used to cool a high thermal conductivity metal mold. Assume the
flow is hydrodynamically and thermally fully developed.
Air, Tmi = 25°C
Mold, T=50°C-
Case A
Case B
(a) Determine the rate of heat transferred, in W, to the air for a circular channel (D =
(case A).
10 mm) when the mold temperature is 50°C
(b) Consider air flowing under the same conditions as in case A, except now the channel is segmented into six smaller triangular
sections. The flow area of case A is equal to the total flow area of case B. Determine the rate of heat transferred, in W, to the air for the
segmented channel.
(c) Determine the pressure drops for cases A and B, both in Pa.
Transcribed Image Text:Air at 25°C flows at 50 × 10-6 kg/s within 100-mm-long channels used to cool a high thermal conductivity metal mold. Assume the flow is hydrodynamically and thermally fully developed. Air, Tmi = 25°C Mold, T=50°C- Case A Case B (a) Determine the rate of heat transferred, in W, to the air for a circular channel (D = (case A). 10 mm) when the mold temperature is 50°C (b) Consider air flowing under the same conditions as in case A, except now the channel is segmented into six smaller triangular sections. The flow area of case A is equal to the total flow area of case B. Determine the rate of heat transferred, in W, to the air for the segmented channel. (c) Determine the pressure drops for cases A and B, both in Pa.
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