Question

When the pressure is increased at a point , what would happen to the pressure at all other points if the liquid was not assumed to be incompressible?

Answer 1

When a fluid flow is compressible, the fluid density varies with its pressure. Compressible flows are usually high speed flows with Mach numbers greater than about 0.3. Examples include aerodynamic applications such as flow over a wing or aircraft nacelle as well as industrial applications such as flow through high-performance valves.
The pressure is increased at a point , the line along which force is applied will tend to compress or deform