Topic: Fluid Mechanics
Water flows into the top of an open drum at a constant mass flow rate. Water exits through a pipe near the base with a mass flow rate proportional to the height of the liquid. If the drum is initially empty, which of the following gives the plot of liquid height with time?
- A. Graph (a)
- B. Graph (b)
- C. Graph (c)
- D. Graph (d)
Answer: A. Graph (a)
Explanation: Initially drum is empty with zero height so no discharge, but inlet has a constant mass flow rate. Hence height increases, along with which discharge along starts increasing and after attaining a certain height, discharge rate becomes equal to inlet rate, so after certain time, height becomes constant as depicted by option (a).