Sahithyan's S1 — Fluid Mechanics
Hydrostatic Pressure
At a point,
Pascal’s law
The hydrostatic pressure at a point is the same from all directions.
Proof
Consider the fluid element shown, containing the point
From the image:
For equilibrium:
As all
Variation along directions
Proof
Let
By considering equilibrium of this fluid element containing
In the
Similarly
In the
Isobar
Surface of constant pressure.
Types of pressure
Atmospheric Pressure
Pressure exerted by atmospheric air.
Gauge Pressure
Measured in respect to atmospheric pressure.
Absolute Pressure
Measured in respect to perfect vaccum.
Piezometric pressure
Pressure diagram
A diagram showing the variation of pressure along a submerged surface.
Pressure Head
Height of a particular fluid column that will produce the pressure at a point.
Pressure difference between 2 points
Suppose there are 2 points