Question

The number of degrees of freedom for a natural open channel flow with a mobile bed is

• A. 2
• B. 3
• C. 4
• D. 5

Hint:

In natural open channel flow with a mobile bed, flow depth, velocity, bed elevation, and sediment concentration are the four independent variables determining the system's state.

Answer 1

The Correct Option is C

Step 1: In the case of natural open channel flow with a mobile bed, the degrees of freedom are determined based on the independent variables affecting the flow. Step 2: The key variables that define the state of flow in such a system include: Flow depth \( h \), Velocity \( v \), Bed elevation \( z \), Sediment concentration \( c \). Step 3: Since these four parameters can vary independently, the system has four degrees of freedom. Conclusion: The correct answer is option (C), which states that the number of degrees of freedom for a natural open channel flow with a mobile bed is 4.