Fluid Mechanics
The hydraulic radius for flow in a rectangular duct of cross-sectional dimension H, W is

2HW/(H + W)²
HW/4(H + W)²
√(HW/π)
HW/2(H + W)²

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Fluid Mechanics
Steady flow occurs, when the

Conditions are the same at the adjacent points at any instant
Conditions change steadily with time
Conditions do not change with time at any point
Rate of the velocity change is constant

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Fluid Mechanics
In case of hydraulically smooth pipe, the resistance to flow depends only on the Reynolds number, whereas for a hydraulically rough pipe, the resistance to flow is governed by the relative roughness. Two pipes are said to have the same hydraulic roughness, when they have equal values of

Friction co-efficient for flows at equal Reynold number
Relative roughness
Absolute roughness
All of these

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