Critical Velocity Calculator:

Enter the values of Reynold’s number R , Co-efficient of Viscosity u_(m²_/s) , Inner Diametre of the pipe D_(m) & Density of the liquid p_(kg/m³₎  to determine the value of Critical Velocity Vc_(m/s).

Critical Velocity Formula:

The Critical Velocity Vc_(m/s) in meter per second is equal to the Reynold’s number R into multiply the Co-efficient of Viscosity u_(m²_/s) in meter square per second and divided by the Inner Diametre of the pipe D_(m) in meter into multiply the Density of the liquid p_(kg/m³₎ in kilogram per meter cube.

The Formula of Critical Velocity can be writtern as,

Vc_(m/s) = ( R * u_(m²_/s) ) / ( D_(m) * p_(kg/m³₎ )

Here,

Vc_(m/s) = Critical Velocity in meter per second

R =  Reynold’s number

u_(m²_/s) = Co-efficient of Viscosity in meter square per second

D_(m) = Inner Diametre of the pipe in meter

p_(kg/m³₎ = Density of the liquid in kilogram per meter cube

Example Problems for Critical Velocity :

1)Calculate the Critical Velocity and given for Reynold’s number = 3.5 , Co-efficient of Viscosity = 25m³/s , Inner Diametre of the pipe = .30m , Density of the liquid = 1.300kg/m³.

Answer

Vc = ( R * u ) / ( D * p )

Vc = ( 3.5 * 25 ) / ( .30 * 1.300 )

Vc = 379.16m/s.

2)Calculate the Density of the liquid and given for Reynold’s number = 3.5 , Co-efficient of Viscosity = 25m³/s , Inner Diametre of the pipe = .30m , Critical Velocity = 379.16m/s.

Answer

Vc = ( R * u ) / ( D * p )

379.16 = ( 3.5 * 25 ) / ( .30 * p )

p = 1.300kg/m³.