The discussion revolves around the application of the Bernoulli equation in a closed loop system involving pressure measurements at two points in a pipe. The original poster presents pressure values and assumptions regarding fluid velocity and height differences, seeking clarification on the relationship between pressure and pump head in the context of fluid dynamics.
The discussion is active, with participants questioning the original poster's assumptions and clarifying the setup of the system. Some guidance has been provided regarding the application of Bernoulli's equations, indicating a productive direction in the exploration of the problem.
There is a noted complexity due to the closed loop nature of the system, and participants are considering the implications of differential pressure measurements for pump functionality. The original poster's assumptions about velocity and height differences are also under scrutiny.
The thing is in a loop, so if points 1 and 2 are right next to one another, say in the inlet pipe to the pump, P1 = P2icham said:
Chestermiller said:
Please specify where you are placing points 1 and 2.icham said:
Chestermiller said:
OK. Then there are two Bernoulli equations that you can write: $$\frac{P_2-P_1}{\rho g}=\Delta H_{pump}$$That applies across the top; and $$\frac{P_2-P_1}{\rho g}=\Delta H_{friction}$$That applies across the bottom.icham said:
Chestermiller said:
