The second equation is the continuity equation.
The continuity equation states that a flow in a pipe is always constant . This beat also true when it hits the cross section of the pipe.
The flow is always the same in this tube. However, the flow velocity changes.
At the points where the cross section is reduced, the flow rate increases proportionally. At the points at which the cross-section increases in proportion to the reduced flow speed.
At the points where the cross section is reduced, the flow rate increases proportionally. At the points at which the cross-section increases in proportion to the reduced flow speed.
The Bernoulli's equation and the continuity equation are based on an ideal, frictionless flow. In reality, however, the fan has to overcome two types of resistors:
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the frictional resistance in the pipes and form drag (which is the pressure drop due to bends in the shafts, through devices and much more).
