Consider the equation Q = wdv. According to the equation, if Q (discharge) remains constant, but w and d decrease (as when a channel becomes more narrow and shallow), the velocity will
A) increase.
B) decrease.
C) remain constant.

Question

Quizplus · Accepted Answer

According to the equation Q = wdv, if Q remains constant and w and d decrease, then v must increase to compensate and keep the equation balanced. This is because when the cross-sectional area of a channel decreases (as w and d decrease), the velocity of the fluid must increase to pass the same amount of water (Q) through the narrower space in the same amount of time.

Consider the Equation Q = Wdv