Pressure to Velocity Calculator:
Enter the values of dynamic pressure, q(Pa) and density of the fluid, p(kg/m3) to determine the values of pressure to velocity, V(m/s).
Pressure to Velocity Formula:
The velocity of a fluid can be derived from the pressure difference across the fluid. This formula is particularly useful in fluid dynamics to relate the pressure drop to the kinetic energy per unit volume, giving the velocity of the fluid.
Pressure to velocity, V(m/s) in metres per seconds is equated by the square root of product of 2 times of dynamic pressure, q(Pa) in Pascals and then divided by density of the fluid, p(kg/m3) in kilogram per cubic metres.
Pressure to velocity, V(m/s) = √( 2 * q(Pa) / p(kg/m3))
V(m/s) = pressure to velocity in metres per second, m/s.
q(Pa) = dynamic pressure in Pascals, Pa.
p(kg/m3) = density of the fluid in kilogram per cubic metres, kg/m3.
Pressure to Velocity Calculation:
1.In an air duct, the air flows with a dynamic pressure of 200 Pa. The density of air under standard conditions is roughly 1.225 kg/m³. Determine the air velocity in the duct.
Given: q(Pa) = 200Pa, p(kg/m3) = 1.225kg/m3.
Pressure to velocity, V(m/s) = √( 2 * q(Pa) / p(kg/m3))
V(m/s) = √( 2 * 200 / 1.225)
V(m/s) = √326.53
V(m/s) = 18.07m/s.
2.Suppose the velocity of a fluid is 10 m/s and the dynamic pressure is 500 Pa. Calculate the density of the fluid.
Given: q(Pa) = 500Pa, V(m/s) = 10m/s.
Pressure to velocity, V(m/s) = √( 2 * q(Pa) / p(kg/m3))
p(kg/m3) = 2 * q(Pa) / V2(m/s)
p(kg/m3) = 2 * 500 / 102
p(kg/m3) = 10kg/m3.