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I am learning about Rotating stall in Axial Flow Compressors. So, when we throttle the compressor then there is Pressure Rise and later after the peak pressure rise tip stall starts to appear. But I am trying to figure out the relation between mass flow rate and pressure rise.

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The simplest way to understand this is to refer to Bernoulli's Theorem. When the flow of a compressible fluid (in this case air) speeds up, the density of the compressible fluid goes down (and vice versa). Pressure is directly related to density, so pressure also goes down when flow rate (velocity) goes up.

Mathematically, Bernoulli's Theorem is expressed $\rho \times v =$ constant.

Here, $\rho$ is density, $v$ is velocity.

Look at a diagram of a Venturi tube, and it will make sense.

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