Centrifugal pump basic equations of hydraulics

Centrifugal pump work, the liquid on the one hand with the impeller rotation, at the same time from the rotating impeller outflow. Centrifugal pump impeller at any point i of the absolute velocity ci is equal to the circumferential velocity "ui and the relative velocity hoe i and the vector, that is: Ci = ui + wi (2-3) where ci - i point absolute flow Velocity in m / s; ui - velocity of the liquid at i-point with impeller rotation, ie the circumferential velocity in m / s; wi - velocity of the liquid in point i relative to the rotating impeller in m / s; шi and "цi the opposite direction of the angle, said the relative flow angle. The three velocities form a closed triangle called the velocity triangle, see Figure 2-5. Figure 2-5 Speed ​​Triangle The speed triangle reflects the flow of liquid in the impeller. Euler equation - basic equations of centrifugal pump hydraulic The impeller into the impeller to increase energy, the establishment of the impeller on the liquid work and the relationship between liquid state of motion energy equation, the centrifugal pump's basic equation - Euler equation. It can be derived from the moment of momentum theorem. Where HT - the theoretical lift of the centrifugal pump, m; C2u - the absolute velocity of the impeller exit in the circumferential direction of the absolute velocity, m / s; C1u - impeller inlet flow rate in the circumferential direction of the absolute velocity , M / s; U2 - the peripheral velocity at the impeller exit (uz = R2 co), m / s; U1 - the peripheral velocity at the impeller inlet (ul = R1), m / s. When the flow without pre-rotation into the impeller, t71. Euler equation can also be abbreviated as: Euler equation can be seen that the centrifugal pump theoretical lift HT depends on the pump impeller geometry, working speed, and the characteristics and density of the transmission medium has nothing to do. The same pump therefore operates at the same speed and flow rate and the theoretical lift given by the impeller is the same irrespective of the liquid delivered (eg water and mercury). The Euler equation can also be derived from the cosine theorem by the following form: where the centrifugal force in the impeller unit mass of liquid to do; unit mass flow through the impeller when the relative velocity of reduction obtained; unit mass flow through the impeller kinetic energy Increment.

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