Why can’t the density be assumed as constant for compressible fluids?

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Pressure and Its Measurement topics include: Pressure distribution in fluid, pressure measurement, pascals law and compression fluid pressure point. In fluid mechanics, pressure is the force exerted on an area. The formula for calculating pressure is P = F/A, where F is force and A is area.  Here are some types of pressure measurement: Absolute pressure: The total value of the force per unit area exerted by a fluid surface. Absolute pressure is the difference between the pressure at a given point in a fluid and total zero pressure or a perfect vacuum. Absolute pressure is measured with... Show more

Why can’t the density be assumed as constant for compressible fluids?