A conduit that conveys air is rectangular, having dimensions of 6 x 6 in. Due to

Question

A conduit that conveys air is rectangular, having dimensions of 6 x 6 in. Due to space limitations, a circular tube having an outside diameter of 3 in. has to be mounted within this duct, and it has been decided to mount the tube directly in the center. (See Figure) Determine the hydraulic diameter of the duct flow area.

4. Textbook 5.11. A conduit that conveys air is rectangular, having dimensions of 6 x 6 in Due to space limitations, a circular tube having an outside diameter of 3 in has to be mounted within this duct, and it has been decided to mount the tube directly in the center. (See Figure)

Explanation / Answer

hydraulic diameter,
DH = 4A / P

For square,
DH1 = 4*(6*6) / (4*6)
= 6 inch

For circle,
DH2 = 4*(pi*d^2/4) / (pi*d)
= d
= 3 inch

DH = DH1-DH2
= 6 - 3
   = 3 inch
  
Answer: 3 inch

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