Reynolds Number Equation using Boundary-Layer Momentum Thickness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reynolds Number = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Static Viscosity
Re = (ρe*ue*θt)/μe
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.
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.
Boundary-layer momentum thickness for transition - (Measured in Meter) - Boundary-layer momentum thickness for transition is defined in relation to the momentum flow rate within the boundary layer.
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
Boundary-layer momentum thickness for transition: 0.1 Meter --> 0.1 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
Re = (ρe*ue*θt)/μe --> (98.3*8.8*0.1)/1.12
Evaluating ... ...
Re = 77.2357142857143
STEP 3: Convert Result to Output's Unit
77.2357142857143 --> No Conversion Required
FINAL ANSWER
77.2357142857143 77.23571 <-- Reynolds Number
(Calculation completed in 00.020 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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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

Reynolds Number Equation using Boundary-Layer Momentum Thickness Formula

Reynolds Number = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Static Viscosity
Re = (ρe*ue*θt)/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 Reynolds Number Equation using Boundary-Layer Momentum Thickness?

Reynolds Number Equation using Boundary-Layer Momentum Thickness calculator uses Reynolds Number = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Static Viscosity to calculate the Reynolds Number, The Reynolds number equation using boundary-layer momentum thickness formula is defined as the interrelation between static density, static velocity, viscosity and boundary-layer momentum thickness. Reynolds Number is denoted by Re symbol.

How to calculate Reynolds Number Equation using Boundary-Layer Momentum Thickness using this online calculator? To use this online calculator for Reynolds Number Equation using Boundary-Layer Momentum Thickness, enter Static Density e), Static Velocity (ue), Boundary-layer momentum thickness for transition (θt) & Static Viscosity (μe) and hit the calculate button. Here is how the Reynolds Number Equation using Boundary-Layer Momentum Thickness calculation can be explained with given input values -> 77.23571 = (98.3*8.8*0.1)/1.12.

FAQ

What is Reynolds Number Equation using Boundary-Layer Momentum Thickness?
The Reynolds number equation using boundary-layer momentum thickness formula is defined as the interrelation between static density, static velocity, viscosity and boundary-layer momentum thickness and is represented as Re = (ρe*ue*θt)/μe or Reynolds Number = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/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, Boundary-layer momentum thickness for transition is defined in relation to the momentum flow rate within the boundary layer & 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 Reynolds Number Equation using Boundary-Layer Momentum Thickness?
The Reynolds number equation using boundary-layer momentum thickness formula is defined as the interrelation between static density, static velocity, viscosity and boundary-layer momentum thickness is calculated using Reynolds Number = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Static Viscosity. To calculate Reynolds Number Equation using Boundary-Layer Momentum Thickness, you need Static Density e), Static Velocity (ue), Boundary-layer momentum thickness for transition (θt) & Static Viscosity (μe). With our tool, you need to enter the respective value for Static Density, Static Velocity, Boundary-layer momentum thickness for transition & 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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