Calculating Ejector - Q1, P1, V1, Q2, P2, V2

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The discussion focuses on the mechanics of a nozzle utilizing the venturi effect to mix air with water. It explains that the water flow acts as the motive flow, creating low pressure that draws in air from the atmosphere as the suction flow. Key parameters include the flow rates (Q1 for water and Q2 for air), pressures (P1 and P2), and velocities (V1 and V2) of both flows. The participants are seeking to establish a relationship equation that connects these variables. The complexity of the question suggests a need for expert input to derive the appropriate equations.
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Hi everyone, could you please help me in this:
There's a nozzle which use venturi effect to suck air from the atm and mix it with water. Say the water flow is motive flow (flow 1), and the air flow is suction flow (flow 2). The inlet water flow through a nozzle to increase its velocity (and thus decrease pressure), then enter a mixing chamber, the low pressure of the water flow cause air from the atm to be sucked to the mixing chamber through a second inlet. Say the motive flow (water) has flow rate Q1, pressure P1, velocity V1, and the suction flow (air) has flow rate Q2, pressure P2, velocity V2. What is the relation equation between them?
Thank you very much!
 
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