Reynolds number of fluid flowing in Pipe Calculator

✖Fluid Velocity is the speed and direction at which fluid particles move through a given point, influencing flow dynamics and rate, typically measured in meters per second (m/s).ⓘ Fluid Velocity [V]			+10% -10%
✖Pipe Diameter is the width of a cylindrical conduit, crucial in fluid dynamics, influencing flow rate, pressure drop, and system design, typically measured in millimeters or inches.ⓘ Pipe Diameter [D]			+10% -10%
✖Fluid Density is the mass per unit volume of a fluid, influencing buoyancy, pressure, and flow behavior, typically measured in kilograms per cubic meter (kg/m³).ⓘ Fluid Density [ρ]			+10% -10%
✖Absolute Fluid Viscosity is a measure of a fluid's resistance to flow. It quantifies internal friction, affecting how smoothly fluid layers slide past one another under an applied force.ⓘ Absolute Fluid Viscosity [µ_a]			+10% -10%

✖Reynolds Number is a dimensionless quantity used to predict fluid flow patterns and transition between laminar and turbulent flow regimes, determined by the ratio of inertial forces.ⓘ Reynolds number of fluid flowing in Pipe [R]

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Formula

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Reynolds number of fluid flowing in Pipe

Formula

R = \frac{V \cdot D \cdot ρ}{µ a}

Example

5000 = \frac{300 m/s \cdot 0.05 m \cdot 1000 kg/m³}{3 Pa*s}

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Reynolds number of fluid flowing in Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reynolds Number = (Fluid Velocity*Pipe Diameter*Fluid Density)/Absolute Fluid Viscosity
R = (V*D*ρ)/µ_a
This formula uses 5 Variables

Variables Used

Reynolds Number - Reynolds Number is a dimensionless quantity used to predict fluid flow patterns and transition between laminar and turbulent flow regimes, determined by the ratio of inertial forces.
Fluid Velocity - (Measured in Meter per Second) - Fluid Velocity is the speed and direction at which fluid particles move through a given point, influencing flow dynamics and rate, typically measured in meters per second (m/s).
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the width of a cylindrical conduit, crucial in fluid dynamics, influencing flow rate, pressure drop, and system design, typically measured in millimeters or inches.
Fluid Density - (Measured in Kilogram per Cubic Meter) - Fluid Density is the mass per unit volume of a fluid, influencing buoyancy, pressure, and flow behavior, typically measured in kilograms per cubic meter (kg/m³).
Absolute Fluid Viscosity - (Measured in Pascal Second) - Absolute Fluid Viscosity is a measure of a fluid's resistance to flow. It quantifies internal friction, affecting how smoothly fluid layers slide past one another under an applied force.

STEP 1: Convert Input(s) to Base Unit

Fluid Velocity: 300 Meter per Second --> 300 Meter per Second No Conversion Required
Pipe Diameter: 0.05 Meter --> 0.05 Meter No Conversion Required
Fluid Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Absolute Fluid Viscosity: 3 Pascal Second --> 3 Pascal Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (V*D*ρ)/µ_a --> (300*0.05*1000)/3

Evaluating ... ...

R = 5000

STEP 3: Convert Result to Output's Unit

5000 --> No Conversion Required

FINAL ANSWER

5000 <-- Reynolds Number

(Calculation completed in 00.004 seconds)

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< Flow Measurement Calculators

Reynolds number of fluid flowing in Pipe

Go Reynolds Number = (Fluid Velocity*Pipe Diameter*Fluid Density)/Absolute Fluid Viscosity

Flow Rate

Go Volume Flow Rate = Pipe Cross Sectional Area*Fluid Average Velocity

Volume Flow Rate

Go Volume Flow Rate = Mass Flow Rate/Material Density

Mass Flow Rate

Go Mass Flow Rate = Material Density*Volume Flow Rate

Reynolds number of fluid flowing in Pipe Formula

Reynolds Number = (Fluid Velocity*Pipe Diameter*Fluid Density)/Absolute Fluid Viscosity
R = (V*D*ρ)/µ_a

What is Reynolds number?

The Reynolds number is a dimensionless quantity used in fluid mechanics to characterize the flow of a fluid. It is defined as the ratio of inertial forces to viscous forces and helps predict flow patterns in different fluid flow situations. A low Reynolds number indicates laminar flow (smooth and orderly), while a high Reynolds number indicates turbulent flow (chaotic and irregular).

How to Calculate Reynolds number of fluid flowing in Pipe?

Reynolds number of fluid flowing in Pipe calculator uses Reynolds Number = (Fluid Velocity*Pipe Diameter*Fluid Density)/Absolute Fluid Viscosity to calculate the Reynolds Number, The Reynolds number of fluid flowing in Pipe formula calculates Reynolds number of fluid which is flowing inside pipe that describe the flow pattern of fluid. Low Reynolds number tends to have laminar flow and high Reynolds number tends to have turbulent flow. Reynolds Number is denoted by R symbol.

How to calculate Reynolds number of fluid flowing in Pipe using this online calculator? To use this online calculator for Reynolds number of fluid flowing in Pipe, enter Fluid Velocity (V), Pipe Diameter (D), Fluid Density (ρ) & Absolute Fluid Viscosity (µ_a) and hit the calculate button. Here is how the Reynolds number of fluid flowing in Pipe calculation can be explained with given input values -> 1470.588 = (300*0.05*1000)/3.

FAQ

What is Reynolds number of fluid flowing in Pipe?

The Reynolds number of fluid flowing in Pipe formula calculates Reynolds number of fluid which is flowing inside pipe that describe the flow pattern of fluid. Low Reynolds number tends to have laminar flow and high Reynolds number tends to have turbulent flow and is represented as R = (V*D*ρ)/µ_a or Reynolds Number = (Fluid Velocity*Pipe Diameter*Fluid Density)/Absolute Fluid Viscosity. Fluid Velocity is the speed and direction at which fluid particles move through a given point, influencing flow dynamics and rate, typically measured in meters per second (m/s), Pipe Diameter is the width of a cylindrical conduit, crucial in fluid dynamics, influencing flow rate, pressure drop, and system design, typically measured in millimeters or inches, Fluid Density is the mass per unit volume of a fluid, influencing buoyancy, pressure, and flow behavior, typically measured in kilograms per cubic meter (kg/m³) & Absolute Fluid Viscosity is a measure of a fluid's resistance to flow. It quantifies internal friction, affecting how smoothly fluid layers slide past one another under an applied force.

How to calculate Reynolds number of fluid flowing in Pipe?

The Reynolds number of fluid flowing in Pipe formula calculates Reynolds number of fluid which is flowing inside pipe that describe the flow pattern of fluid. Low Reynolds number tends to have laminar flow and high Reynolds number tends to have turbulent flow is calculated using Reynolds Number = (Fluid Velocity*Pipe Diameter*Fluid Density)/Absolute Fluid Viscosity. To calculate Reynolds number of fluid flowing in Pipe, you need Fluid Velocity (V), Pipe Diameter (D), Fluid Density (ρ) & Absolute Fluid Viscosity (µ_a). With our tool, you need to enter the respective value for Fluid Velocity, Pipe Diameter, Fluid Density & Absolute Fluid Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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