Reynolds Number Calculator

✖Density of Liquid is mass of a unit volume of a material substance.ⓘ Density of Liquid [ρ₁]			+10% -10%
✖Fluid Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity [v_fd]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [d_p]			+10% -10%
✖Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_v]			+10% -10%

✖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.ⓘ Reynolds Number [Re]

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Reynolds Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reynolds Number = (Density of Liquid*Fluid Velocity*Diameter of Pipe)/Dynamic Viscosity
Re = (ρ₁*v_fd*d_p)/μ_v
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*v_fd*d_p)/μ_v --> (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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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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Reynolds Number

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Reynolds Number

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Reynolds Number Formula

LaTeX Go

Reynolds Number = (Density of Liquid*Fluid Velocity*Diameter of Pipe)/Dynamic Viscosity
Re = (ρ₁*v_fd*d_p)/μ_v

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 (ρ₁), Fluid Velocity (v_fd), Diameter of Pipe (d_p) & Dynamic Viscosity (μ_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*v_fd*d_p)/μ_v 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 (ρ₁), Fluid Velocity (v_fd), Diameter of Pipe (d_p) & Dynamic Viscosity (μ_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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