Transition Reynolds Number Calculator

✖Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid.ⓘ Static Density [ρ_e]			+10% -10%
✖Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.ⓘ Static Velocity [u_e]			+10% -10%
✖Location transition point is the location where the transition of laminar to turbulent occurs nd used to find the Reynolds number there.ⓘ Location Transition Point [xt]			+10% -10%
✖Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.ⓘ Static Viscosity [μe]			+10% -10%

✖Transition Reynolds number is Transitional or transient flow is the phase of flow that occurs between laminar and turbulent flow, and corresponds to Reynolds numbers that land between 2300 and 4000.ⓘ Transition Reynolds Number [Ret]

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Formula

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Transition Reynolds Number

Formula

`"Ret" = ("ρ"_{"e"}*"u"_{"e"}*"xt")/"μe"`

Example

`"9268.286"=("98.3kg/m³"*"8.8m/s"*"12m")/"11.2P"`

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Transition Reynolds Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity
Ret = (ρ_e*u_e*xt)/μe
This formula uses 5 Variables

Variables Used

Transition Reynolds Number - Transition Reynolds number is Transitional or transient flow is the phase of flow that occurs between laminar and turbulent flow, and corresponds to Reynolds numbers that land between 2300 and 4000.
Static Density - (Measured in Kilogram per Cubic Meter) - Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid.
Static Velocity - (Measured in Meter per Second) - Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.
Location Transition Point - (Measured in Meter) - Location transition point is the location where the transition of laminar to turbulent occurs nd used to find the Reynolds number there.
Static Viscosity - (Measured in Pascal Second) - Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.

STEP 1: Convert Input(s) to Base Unit

Static Density: 98.3 Kilogram per Cubic Meter --> 98.3 Kilogram per Cubic Meter No Conversion Required
Static Velocity: 8.8 Meter per Second --> 8.8 Meter per Second No Conversion Required
Location Transition Point: 12 Meter --> 12 Meter No Conversion Required
Static Viscosity: 11.2 Poise --> 1.12 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ret = (ρ_e*u_e*xt)/μe --> (98.3*8.8*12)/1.12

Evaluating ... ...

Ret = 9268.28571428571

STEP 3: Convert Result to Output's Unit

9268.28571428571 --> No Conversion Required

FINAL ANSWER

9268.28571428571 ≈ 9268.286 <-- Transition Reynolds Number

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Hypersonic Transition » Transition Reynolds Number

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< 16 Hypersonic Transition Calculators

Boundary-Layer Momentum Thickness using Reynolds Number at Transition Point

Go Boundary-layer momentum thickness for transition = (Reynolds Number*Static Viscosity)/(Static Velocity*Static Density)

Static Density Equation using Boundary-Layer Momentum Thickness

Go Static Density = (Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-layer momentum thickness for transition)

Static Velocity using Boundary-Layer Momentum Thickness

Go Static Velocity = (Reynolds Number*Static Viscosity)/(Static Density*Boundary-layer momentum thickness for transition)

Static Viscosity Equation using Boundary-Layer Momentum Thickness

Go Static Viscosity = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Reynolds Number

Reynolds Number Equation using Boundary-Layer Momentum Thickness

Go Reynolds Number = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Static Viscosity

Static Velocity at Transition Point

Go Static Velocity = (Transition Reynolds Number*Static Viscosity)/(Static Density*Location Transition Point)

Static Density at Transition Point

Go Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point)

Location of Transition Point

Go Location Transition Point = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Static Density)

Static Viscosity at Transition Point

Go Static Viscosity = (Static Density*Static Velocity*Location Transition Point)/Transition Reynolds Number

Transition Reynolds Number

Go Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity

Specific Heat at Constant Pressure for Transient Flow

Go Molar Specific Heat Capacity at Constant Pressure = (Transient Prandtl Number*Transition Thermal Conductivity)/Eddy Viscosity

Prandtl Number of Transition Flow

Go Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity

Eddy Viscosity Calculation

Go Eddy Viscosity = (Transition Thermal Conductivity*Transient Prandtl Number)/Molar Specific Heat Capacity at Constant Pressure

Thermal Conductivity of Transition Flow

Go Transition Thermal Conductivity = (Eddy Viscosity*Specific Heat Capacity)/Transient Prandtl Number

Local Mach Number using Reynolds Number Equation at Transition Region

Go Local Mach Number = Boundary-layer Momentum Reynolds number/100

Reynolds Number Equation using Local Mach Number

Go Boundary-layer Momentum Reynolds number = 100*Local Mach Number

Transition Reynolds Number Formula

Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity
Ret = (ρ_e*u_e*xt)/μe

What is transition Reynolds number?

Transitional or transient flow is the phase of flow that occurs between laminar and turbulent flow and corresponds to Reynolds numbers that land between 2300 and 4000. In this type of flow, there is a mixture of laminar and turbulent flows present.

How to Calculate Transition Reynolds Number?

Transition Reynolds Number calculator uses Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity to calculate the Transition Reynolds Number, The Transition Reynolds number formula is defined as the interrelation between static density, static velocity, viscosity, and location of the transition point. Transition Reynolds Number is denoted by Ret symbol.

How to calculate Transition Reynolds Number using this online calculator? To use this online calculator for Transition Reynolds Number, enter Static Density (ρ_e), Static Velocity (u_e), Location Transition Point (xt) & Static Viscosity (μe) and hit the calculate button. Here is how the Transition Reynolds Number calculation can be explained with given input values -> 9268.286 = (98.3*8.8*12)/1.12.

FAQ

What is Transition Reynolds Number?

The Transition Reynolds number formula is defined as the interrelation between static density, static velocity, viscosity, and location of the transition point and is represented as Ret = (ρ_e*u_e*xt)/μe or Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity. Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid, Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow, Location transition point is the location where the transition of laminar to turbulent occurs nd used to find the Reynolds number there & Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.

How to calculate Transition Reynolds Number?

The Transition Reynolds number formula is defined as the interrelation between static density, static velocity, viscosity, and location of the transition point is calculated using Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity. To calculate Transition Reynolds Number, you need Static Density (ρ_e), Static Velocity (u_e), Location Transition Point (xt) & Static Viscosity (μe). With our tool, you need to enter the respective value for Static Density, Static Velocity, Location Transition Point & Static 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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