Reynolds Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity
Re = (ρl*vfluid*dpipe)/μviscosity
This formula uses 5 Variables
Variables Used
Reynolds Number - The Reynolds Number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid is mass of a unit volume of a material substance.
Fluid Velocity - (Measured in Meter per Second) - Fluid Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter of the pipe in which the liquid is flowing.
Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
STEP 1: Convert Input(s) to Base Unit
Density of Liquid: 4 Kilogram per Cubic Meter --> 4 Kilogram per Cubic Meter No Conversion Required
Fluid Velocity: 128 Meter per Second --> 128 Meter per Second No Conversion Required
Pipe Diameter: 1.01 Meter --> 1.01 Meter No Conversion Required
Dynamic Viscosity: 1.02 Pascal Second --> 1.02 Pascal Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Re = (ρl*vfluid*dpipe)/μviscosity --> (4*128*1.01)/1.02
Evaluating ... ...
Re = 506.980392156863
STEP 3: Convert Result to Output's Unit
506.980392156863 --> No Conversion Required
FINAL ANSWER
506.980392156863 506.9804 <-- Reynolds Number
(Calculation completed in 00.020 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
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11 Dimensionless Numbers Calculators

Archimedes Number
Go Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2)
Sommerfeld Number
Go Sommerfeld Number = ((Radius of Shaft/Radial Clearance)^(2))*(Absolute Viscosity*Speed of Rotating Shaft)/(Load per Unit of Area)
Reynolds Number
Go Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity
Euler Number using Fluid Velocity
Go Euler Number = Fluid Velocity/(sqrt(Change in Pressure/Density of Fluid))
Weber Number
Go Weber Number = ((Density*(Velocity of Fluid^2)*Length)/Surface Tension)
Eckert Number
Go Eckert Number = (Flow Velocity)^2/(Specific Heat Capacity*Temperature Difference)
Grashof Number
Go Grashof Number = (Buoyant Force)/(Viscous Force)
Rayleigh Number
Go Rayleigh Number = Grashof Number*Prandtl Number
Mach Number
Go Mach Number = Speed of Object/Speed of Sound
Froude Number
Go Froude Number = Inertia Force/Gravity Force
Euler Number
Go Euler Number = Pressure Force/Inertia Force

4 Power Requirements for Agitation Calculators

Power Required for Agitator
Go Power = (Power Number*Density of Liquid*(((Speed of Agitator)/(60))^3)*(Agitator Diameter^5))/([g]*75)
Power Number
Go Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5)
Reynolds Number
Go Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity
Froude Number
Go Froude Number = Inertia Force/Gravity Force

9 Hydrodynamics Basics Calculators

Moment of Momentum Equation
Go Torque Exerted on Wheel = Density of Liquid*Discharge*(Velocity at Section 1-1*Radius of Curvature at Section 1-Velocity at Section 2-2* Radius of Curvature at Section 2)
Poiseuille's Formula
Go Volumetric Flow Rate of Feed to Reactor = Pressure Changes*pi/8*(Pipe Radius^4)/(Dynamic Viscosity*Length)
Power Developed by Turbine
Go Power Developed by Turbine = Density of Liquid*Discharge*Velocity of Whirl at Inlet*Tangential Velocity at Inlet
Metacentric Height given Time Period of Rolling
Go Metacentric Height = ((Radius of Gyration*pi)^2)/(((Time Period of Rolling/2)^2)*Acceleration due to Gravity)
Reynolds Number
Go Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity
Reynolds Number given Length
Go Reynolds Number = Density of Liquid*Velocity*Length/Kinematic Viscosity
Power Required to Overcome Frictional Resistance in Laminar Flow
Go Power = Specific Weight of Liquid*Rate of Flow*Head Loss
Power
Go Power = Force*Change in Velocity
Reynolds Number given Frictional Factor of Laminar Flow
Go Reynolds Number = 64/Friction Factor

Reynolds Number Formula

Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity
Re = (ρl*vfluid*dpipe)/μviscosity

What is Dimensionless Number?

Dimensionless numbers in many fields of engineering are collections of variables that provide order-of-magnitude estimates about the behavior of a system

How to Calculate Reynolds Number?

Reynolds Number calculator uses Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity to calculate the Reynolds Number, Reynolds Number helps predict flow patterns in different fluid flow situations. At low Reynolds numbers, flows tend to be dominated by laminar (sheet-like) flow, while at high Reynolds numbers flows tend to be turbulent. Reynolds Number is denoted by Re symbol.

How to calculate Reynolds Number using this online calculator? To use this online calculator for Reynolds Number, enter Density of Liquid l), Fluid Velocity (vfluid), Pipe Diameter (dpipe) & Dynamic Viscosity viscosity) and hit the calculate button. Here is how the Reynolds Number calculation can be explained with given input values -> 50.69804 = (4*128*1.01)/1.02.

FAQ

What is Reynolds Number?
Reynolds Number helps predict flow patterns in different fluid flow situations. At low Reynolds numbers, flows tend to be dominated by laminar (sheet-like) flow, while at high Reynolds numbers flows tend to be turbulent and is represented as Re = (ρl*vfluid*dpipe)/μviscosity or Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity. Density of Liquid is mass of a unit volume of a material substance, Fluid Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area, Pipe Diameter is the diameter of the pipe in which the liquid is flowing & Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
How to calculate Reynolds Number?
Reynolds Number helps predict flow patterns in different fluid flow situations. At low Reynolds numbers, flows tend to be dominated by laminar (sheet-like) flow, while at high Reynolds numbers flows tend to be turbulent is calculated using Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity. To calculate Reynolds Number, you need Density of Liquid l), Fluid Velocity (vfluid), Pipe Diameter (dpipe) & Dynamic Viscosity viscosity). With our tool, you need to enter the respective value for Density of Liquid, Fluid Velocity, Pipe Diameter & Dynamic Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Reynolds Number?
In this formula, Reynolds Number uses Density of Liquid, Fluid Velocity, Pipe Diameter & Dynamic Viscosity. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Reynolds Number = 64/Friction Factor
  • Reynolds Number = Density of Liquid*Velocity*Length/Kinematic Viscosity
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