Complex Integration

Concept: Hydraulic radius is an important parameter in fluid flow, especially in open channel flow.
Step 1: Definition.
Hydraulic radius is defined as the ratio of the cross-sectional area of flow to the wetted perimeter.
Step 2: Formula.
where is the area of flow and is the wetted perimeter.
Step 3: Physical meaning.
It represents the efficiency of the channel in conveying water; larger means less frictional resistance.
Step 4: Evaluating the options.

• Incorrect
• Correct
• Incorrect
• Incorrect

Step 5: Conclusion.
Thus, hydraulic radius is given by .