what is relationship of pressure,area and velocity?
Answers
Speed increases when cross-sectional area decreases, and speed decreases when cross-sectional area increases. This is a consequence of the continuity equation. If the flow Q is held constant, when the area A decreases, the velocity v must increase proportionally.
Answer:
Pressure and velocity both are the macroscopic parameters governing plenty of natural phenomena. Pressure is the measure of force per unit area. Velocity is the measure of the rate of change of displacement. The relation between pressure and velocity can be given through two independent equations/formulation.
Pressure And Velocity Relation
In thermodynamics, for any in-compressible, non-viscous fluid, the relation between pressure and velocity is given by Bernoulli’s equation,
P+
1
2
ρ
v
2
+ρgh=Constant
Where,
P is the pressure of the in-compressible, non-viscous fluid measured using N/m2.
is the density of the in-compressible, non-viscous fluid measured using kg/m3.
v is the velocity of the in-compressible, non-viscous fluid measured using m/s.
g is the acceleration due to gravity measured using m/s2.
h is the vertical height of the pipe from the reference level measured using m.
Pressure and velocity are inversely proportional to each other. If pressure increases, the velocity decreases to keep the algebraic sum of potential energy, kinetic energy, and pressure constant. Similarly, if velocity increases, the pressure decreases to keep the sum of potential energy, kinetic energy, and pressure constant.
In mechanics, the relation between pressure and velocity is given by Laplace correction for Newton’s equation for the velocity of sound as-
v=
γp
ρ
−
−√
Where,
v is the velocity of sound waves measured using m/s.
p is the pressure of the propagating medium measured using N/m2.
is the
density of the propagating medium measured using kg/m3.
is the adiabatic constant.
Explanation:
hope you have understood
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