Chapter 28, Problem 6TE

What happens to stream speed if the discharge in a stream doubles while the channel remains the same size and shape?

To determine

The effect on the stream speed, if the discharge doubles while the channel remains same in size and shape.

Answer to Problem 6TE

If in a stream the discharge doubles, while the channel remains same in size and shape, then the stream speed will also get doubled.

Explanation of Solution

Stream discharge is the amount of liquid that crosses a given point in a certain time interval. It is given by the area of the stream multiplied by the speed of the stream. In a channel, average stream speed is given by discharge divided by a cross-sectional area. Hence, the discharge is directly proportional to the stream speed. If a stream's area is constant and the discharge is increased, then the stream speed will increase. And if the discharge is decreased, then the stream speed will also decrease. It will increase or decrease by the same factor with which the discharge is increased or decreased.

Conclusion:

Therefore, if in a stream the discharge doubles while the channel remains same in size and shape, then, the stream speed will also get doubled.