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A circular pipe of radius 7 cm is used for water flow transmission. This pipe is moulded into another pipe with a square cross-section keeping the length same. (Ignore the thickness of the pipe). Calculate the hydraulic diameter of the moulded pipe. (Take π = 22/7).

(a) 11 cm

(b) 7 cm

(c) 3.5 cm

(d) 22 cm

The question was asked in semester exam.

This interesting question is from Flow of Viscous Fluid Through Circular Pipes topic in division Viscous Flow & Turbulent Flow of Fluid Mechanics

1 Answer

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The correct answer is (a) 11 cm

Explanation: The perimeter of the circular cross section and the square cross section will remain the same. Perimeter = 44 cm. Side of square = 11 cm. Hydraulic diameter DH of the pipe is given by 4A/P, where A = Area of cross section and P = wetted perimeter. In case of a square DH = side. Hence, the hydraulic diameter is 11 cm.

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