Reynolds Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reynolds Number = (Density of Liquid*Fluid Velocity*Diameter of Pipe)/Dynamic Viscosity
Re = (ρ1*vfd*dp)/μv
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.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe 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: 126.24 Meter per Second --> 126.24 Meter per Second No Conversion Required
Diameter of Pipe: 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 = (ρ1*vfd*dp)/μv --> (4*126.24*1.01)/1.02
Evaluating ... ...
Re = 500.009411764706
STEP 3: Convert Result to Output's Unit
500.009411764706 --> No Conversion Required
FINAL ANSWER
500.009411764706 500.0094 <-- Reynolds Number
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Jamshedpur
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Dimensionless Numbers Calculators

Archimedes Number
​ Go Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2)
Reynolds Number
​ Go Reynolds Number = (Density of Liquid*Fluid Velocity*Diameter of Pipe)/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)

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*Diameter of Pipe)/Dynamic Viscosity
Froude Number
​ Go Froude Number = Inertia Force/Gravity Force

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)
Metacentric Height given Time Period of Rolling
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Power
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Reynolds Number Formula

Reynolds Number = (Density of Liquid*Fluid Velocity*Diameter of Pipe)/Dynamic Viscosity
Re = (ρ1*vfd*dp)/μv

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*Diameter of Pipe)/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 1), Fluid Velocity (vfd), Diameter of Pipe (dp) & Dynamic Viscosity v) and hit the calculate button. Here is how the Reynolds Number calculation can be explained with given input values -> 500.0094 = (4*126.24*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 = (ρ1*vfd*dp)/μv or Reynolds Number = (Density of Liquid*Fluid Velocity*Diameter of Pipe)/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, Diameter of Pipe 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*Diameter of Pipe)/Dynamic Viscosity. To calculate Reynolds Number, you need Density of Liquid 1), Fluid Velocity (vfd), Diameter of Pipe (dp) & Dynamic Viscosity v). With our tool, you need to enter the respective value for Density of Liquid, Fluid Velocity, Diameter of Pipe & 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, Diameter of Pipe & 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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