If the width of a rectangular notch is doubled, then the discharge will _______.

Explanation:

The discharge (Q) through a rectangular notch in an open channel flow is given by the formula:

Q=CLH^3/2

Where:

• Q is the discharge (flow rate),

• C is a constant depending on the shape of the notch,

• L is the length (width) of the notch,

• H is the head (the height of water above the bottom of the notch).

From this formula, you can see that discharge Q is directly proportional to the width (L) of the notch. This means that if the width of the notch is doubled, the discharge will double as well, assuming the head (H) remains the same.

 Additional Information

Effect of Changing the Width (L):

1. The discharge is directly proportional to the width (L) of the rectangular notch. This means that if the width is doubled, the discharge will double, as long as the head (H) remains constant.

Discharge Coefficient (C):

1. The discharge coefficient C depends on factors like the shape of the notch, the flow type (subcritical or supercritical), and the specific characteristics of the flow.

2. For a sharp-crested weir (a type of notch), C is a constant that generally depends on experimental results, and it can be adjusted based on the characteristics of the flow and the notch.