Transition Reynolds Number Calculator

✖The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions.ⓘ Static Density [ρ_e]			+10% -10%
✖The Static Velocity is the velocity of a fluid at a specific point in a flow field, measured relative to the surrounding fluid at rest.ⓘ Static Velocity [u_e]			+10% -10%
✖The Location Transition Point is the specific position on a flat plate where the flow transitions from laminar to hypersonic, affecting the behavior of viscous flow.ⓘ Location Transition Point [xt]			+10% -10%
✖The Static Viscosity is a measure of a fluid's resistance to flow and deformation under shear stress, particularly relevant in hypersonic transition scenarios.ⓘ Static Viscosity [μe]			+10% -10%

✖The Transition Reynolds Number is a dimensionless quantity that characterizes the transition from laminar to turbulent flow over a flat plate in hypersonic conditions.ⓘ Transition Reynolds Number [Ret]

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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 - The Transition Reynolds Number is a dimensionless quantity that characterizes the transition from laminar to turbulent flow over a flat plate in hypersonic conditions.
Static Density - (Measured in Kilogram per Cubic Meter) - The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions.
Static Velocity - (Measured in Meter per Second) - The Static Velocity is the velocity of a fluid at a specific point in a flow field, measured relative to the surrounding fluid at rest.
Location Transition Point - (Measured in Meter) - The Location Transition Point is the specific position on a flat plate where the flow transitions from laminar to hypersonic, affecting the behavior of viscous flow.
Static Viscosity - (Measured in Pascal Second) - The Static Viscosity is a measure of a fluid's resistance to flow and deformation under shear stress, particularly relevant in hypersonic transition scenarios.

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: 3.236845 Meter --> 3.236845 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*3.236845)/1.12

Evaluating ... ...

Ret = 2500.00035607143

STEP 3: Convert Result to Output's Unit

2500.00035607143 --> No Conversion Required

FINAL ANSWER

2500.00035607143 ≈ 2500 <-- 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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< Hypersonic Transition Calculators

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)

Transition Reynolds Number

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

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*3.236845)/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. The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions, The Static Velocity is the velocity of a fluid at a specific point in a flow field, measured relative to the surrounding fluid at rest, The Location Transition Point is the specific position on a flat plate where the flow transitions from laminar to hypersonic, affecting the behavior of viscous flow & The Static Viscosity is a measure of a fluid's resistance to flow and deformation under shear stress, particularly relevant in hypersonic transition scenarios.

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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