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:
The Bernoulli equation in a closed loop system is a mathematical equation that relates the pressure, velocity, and elevation of a fluid along a closed loop or path. It states that the sum of the kinetic energy, potential energy, and pressure energy at any two points along the loop must be equal.
The Bernoulli equation can be applied in closed loop systems, such as pipelines or circulation systems, to calculate the change in flow rate, pressure, or elevation at different points along the loop. It is often used to analyze and design fluid flow systems, as well as to troubleshoot any issues that may arise.
The Bernoulli equation assumes that the fluid is incompressible, the flow is steady, and there is no energy loss due to friction or other factors. It also assumes that the flow is irrotational, meaning that the fluid particles do not rotate as they move along the loop.
The Bernoulli equation is limited in its application to closed loop systems because it does not take into account factors such as viscosity, turbulence, and compressibility of the fluid. It also assumes that the flow is one-dimensional, which may not always be the case in real-life situations.
No, the Bernoulli equation is only applicable to ideal fluid flow in closed loop systems. It cannot be used to analyze more complex fluid flow situations, such as when the fluid is compressible or when there are significant energy losses due to friction. In these cases, more advanced equations, such as the Navier-Stokes equations, must be used.
