Multiple choice

A steady flow occurs in an open channel with lateral inflow of q m3/s per unit width as shown in the figure. The mass conservation equation is

  1. $\frac{\partial q}{\partial x} = 0$
  2. $\frac{\partial Q}{\partial x} = 0$
  3. $\frac{\partial Q}{\partial x} -q = 0$
  4. $\frac{\partial Q}{\partial x} +q = 0$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For steady flow with lateral inflow, the change in discharge along the channel is equal to the lateral inflow rate. The continuity equation reflects this balance.