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How to implement a equation into a transfer function in Simulink?

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Igor Batoukhtine
Igor Batoukhtine on 30 Mar 2016
Edited: Igor Batoukhtine on 30 Mar 2016
Hello,
I've got the following equations:
And
I need to translate these to a Transfer function, where Y is the input (PID controller Kp*e+Ki*...+Kd*de(t)/dt) and vm is the output in speed. pe is the pressure that the pump produces. The subscripts m and f are given for mixture and fluid (water). These equations are based on a model for a centrifugal pump.
Could someone help me with this?

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