Reynolds Number Equation using Boundary-Layer Momentum Thickness 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 Boundary-Layer Momentum Thickness for Transition is a measure of the thickness of the boundary layer where viscous effects influence flow behavior during hypersonic transition.ⓘ Boundary-Layer Momentum Thickness for Transition [θt]			+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 Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly in hypersonic transitions over flat plates.ⓘ Reynolds Number Equation using Boundary-Layer Momentum Thickness [Re]

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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 = (ρ_e*u_e*θt)/μe
This formula uses 5 Variables

Variables Used

Reynolds Number - The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly in hypersonic transitions over flat plates.
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.
Boundary-Layer Momentum Thickness for Transition - (Measured in Meter) - The Boundary-Layer Momentum Thickness for Transition is a measure of the thickness of the boundary layer where viscous effects influence flow behavior during hypersonic transition.
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
Boundary-Layer Momentum Thickness for Transition: 7.768427 Meter --> 7.768427 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 = (ρ_e*u_e*θt)/μe --> (98.3*8.8*7.768427)/1.12

Evaluating ... ...

Re = 6000.00008221429

STEP 3: Convert Result to Output's Unit

6000.00008221429 --> No Conversion Required

FINAL ANSWER

6000.00008221429 ≈ 6000 <-- Reynolds Number

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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

Reynolds Number Equation using Boundary-Layer Momentum Thickness Formula

Reynolds Number = (Static Density*Static Velocity*Boundary-Layer Momentum Thickness for Transition)/Static Viscosity
Re = (ρ_e*u_e*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, Reynolds Number Equation using Boundary-Layer Momentum Thickness formula is defined as a dimensionless value that characterizes the nature of fluid flow, specifically in the context of viscous flow over a flat plate, providing a crucial parameter in understanding the behavior of fluids in various engineering applications. 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 (ρ_e), Static Velocity (u_e), 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*7.768427)/1.12.

FAQ

What is Reynolds Number Equation using Boundary-Layer Momentum Thickness?

Reynolds Number Equation using Boundary-Layer Momentum Thickness formula is defined as a dimensionless value that characterizes the nature of fluid flow, specifically in the context of viscous flow over a flat plate, providing a crucial parameter in understanding the behavior of fluids in various engineering applications and is represented as Re = (ρ_e*u_e*θt)/μe or Reynolds Number = (Static Density*Static Velocity*Boundary-Layer Momentum Thickness for Transition)/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 Boundary-Layer Momentum Thickness for Transition is a measure of the thickness of the boundary layer where viscous effects influence flow behavior during hypersonic transition & 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 Reynolds Number Equation using Boundary-Layer Momentum Thickness?

Reynolds Number Equation using Boundary-Layer Momentum Thickness formula is defined as a dimensionless value that characterizes the nature of fluid flow, specifically in the context of viscous flow over a flat plate, providing a crucial parameter in understanding the behavior of fluids in various engineering applications 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 (ρ_e), Static Velocity (u_e), 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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