This problem is for us to practice convection coefficient calculation for internal flow. You will have to design a water heating system that will heat up water flowing at 1 kg/s from 10°C to 40°C. You have to chose from two heated ducts - (a) one with rectangular cross-section of 0.6 mx1.2 m and (b) the other with 15 cm diameter circular pipe. Both ducts are maintained at a constant temperature of 60°C. Assuming that the flow is fully devloped in both cases, compare the length required for the two ducts to reach the deasired water temperature. Comment on whether the fully-developed assumption is justifiable in both cases.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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This problem is designed to practice the calculation of convection coefficients for internal flow. You are tasked with designing a water heating system that will heat water flowing at 1 kg/s from 10°C to 40°C. You have two heated ducts to choose from:

(a) A duct with a rectangular cross-section of 0.6 m × 1.2 m.
(b) A duct with a 15 cm diameter circular pipe.

Both ducts are maintained at a constant temperature of 60°C. Assuming fully developed flow in both cases, compare the lengths required for the two ducts to achieve the desired water temperature. Also, comment on whether the fully-developed assumption is justifiable in both cases.
Transcribed Image Text:This problem is designed to practice the calculation of convection coefficients for internal flow. You are tasked with designing a water heating system that will heat water flowing at 1 kg/s from 10°C to 40°C. You have two heated ducts to choose from: (a) A duct with a rectangular cross-section of 0.6 m × 1.2 m. (b) A duct with a 15 cm diameter circular pipe. Both ducts are maintained at a constant temperature of 60°C. Assuming fully developed flow in both cases, compare the lengths required for the two ducts to achieve the desired water temperature. Also, comment on whether the fully-developed assumption is justifiable in both cases.
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