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The pressure is just a scalar quantity that also is defined as force per unit area acting in a perpendicular direction to the surface. Pressure is an important physical quantity that is used in a variety of fields, including thermodynamics, solid mechanics, and fluid mechanics. There are numerous ways to express pressure depending on the context of use. The measurement of force per unit area on a specific object on the surface of a closed container or in the fluid is known as fluid pressure. The causes that create this pressure are gravity, acceleration, or forces outside of a confined container.
THEORY
The force exerted on the DEM particles grows as fluid pressure (and pressure gradient) increases during hydraulic stimulation, deforming the mechanical bonds and breaking them if the deformation reaches a set threshold value, fracturing or spreading a pre existing fracture.
Fluid pressure is the pressure at a point within a fluid arising due to the weight of the fluid.
The pressure in fluids can be calculated using the following relation.
Fluid Pressure
Pfluid = P + ρgh
where,
P = Pressure at the reference point
Pfluid is the pressure at a point in a fluid
ρ is the density of the fluid
g is the acceleration due to gravity (considering earth g = 9.8 m/s)
h is the height from the reference point
The density of the fluid can be calculated by dividing the mass of the fluid in consideration with the volume of fluid taken.
ρ = m/v
where,
m is the mass of the fluid
v is the volume of fluid considered
If the fluid is subject to atmospheric pressure than the total pressure on the system is given by
Pfluid = ⍴o + ρgh
where,
⍴o is the atmospheric pressure
Conditions for Taking Fluid Pressure into Account:
There are two scenarios in which fluid pressure is considered:
- In an open state or with an open channel flow
- In a closed state or through a closed conduit
The above fluid pressure is the static fluid pressure, often known as hydrostatic pressure. Because the pressure produced by fluid movement is low, the pressure is solely considered depending on the depth of the fluid. The static fluid pressure is independent of the surface area of the fluid container, its shape, or the total volume and mass of the liquid.
Keep in mind that the term “fluid” refers to anything that may flow. As a result, this includes both liquids and gases.
Fluid Pressure Influencing Factors
Fluid pressure is influenced by two things. These two criteria are the fluid’s depth and density.
- Fluid depth: As the depth of the fluid grows, the pressure exerted by the fluid increases.
- The fluid’s density: Denser fluids, like water, exert greater pressure than lighter fluids, like air. Because the molecules in a denser fluid are closer together, there are more collisions in a given region. More pressure is exerted as a result of this.
CONCLUSION
Fluid pressure is influenced by two things. These two criteria are the fluid’s depth and density. The pressure is just a scalar quantity that also is defined as force per unit area acting in a perpendicular direction to the surface. Pressure is an important physical quantity that is used in a variety of fields, including thermodynamics, solid mechanics, and fluid mechanics
