Static Density Equation using Boundary-Layer Momentum Thickness Calculator

✖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 [Re]			+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 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 Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions.ⓘ Static Density Equation using Boundary-Layer Momentum Thickness [ρ_e]

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Static Density Equation using Boundary-Layer Momentum Thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Density = (Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-Layer Momentum Thickness for Transition)
ρ_e = (Re*μe)/(u_e*θt)
This formula uses 5 Variables

Variables Used

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.
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 6000 --> No Conversion Required
Static Viscosity: 11.2 Poise --> 1.12 Pascal Second (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_e = (Re*μe)/(u_e*θt) --> (6000*1.12)/(8.8*7.768427)

Evaluating ... ...

ρ_e = 98.299998653056

STEP 3: Convert Result to Output's Unit

98.299998653056 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

98.299998653056 ≈ 98.3 Kilogram per Cubic Meter <-- Static Density

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Hypersonic Transition » Static Density Equation using Boundary-Layer Momentum Thickness

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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

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

Static Density at Transition Point

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

Location of Transition Point

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

Transition Reynolds Number

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

Static Density Equation using Boundary-Layer Momentum Thickness Formula

LaTeX Go

Static Density = (Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-Layer Momentum Thickness for Transition)
ρ_e = (Re*μe)/(u_e*θt)

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 Static Density Equation using Boundary-Layer Momentum Thickness?

Static Density Equation using Boundary-Layer Momentum Thickness calculator uses Static Density = (Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-Layer Momentum Thickness for Transition) to calculate the Static Density, Static Density Equation using Boundary-Layer Momentum Thickness formula is defined as a measure of the effective air density at the edge of the boundary layer in a flat plate, which is essential in understanding the viscous flow behavior and its impact on the surrounding air. Static Density is denoted by ρ_e symbol.

How to calculate Static Density Equation using Boundary-Layer Momentum Thickness using this online calculator? To use this online calculator for Static Density Equation using Boundary-Layer Momentum Thickness, enter Reynolds Number (Re), Static Viscosity (μe), Static Velocity (u_e) & Boundary-Layer Momentum Thickness for Transition (θt) and hit the calculate button. Here is how the Static Density Equation using Boundary-Layer Momentum Thickness calculation can be explained with given input values -> 7636.364 = (6000*1.12)/(8.8*7.768427).

FAQ

What is Static Density Equation using Boundary-Layer Momentum Thickness?

Static Density Equation using Boundary-Layer Momentum Thickness formula is defined as a measure of the effective air density at the edge of the boundary layer in a flat plate, which is essential in understanding the viscous flow behavior and its impact on the surrounding air and is represented as ρ_e = (Re*μe)/(u_e*θt) or Static Density = (Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-Layer Momentum Thickness for Transition). The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly in hypersonic transitions over flat plates, The Static Viscosity is a measure of a fluid's resistance to flow and deformation under shear stress, particularly relevant in hypersonic transition scenarios, 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.

How to calculate Static Density Equation using Boundary-Layer Momentum Thickness?

Static Density Equation using Boundary-Layer Momentum Thickness formula is defined as a measure of the effective air density at the edge of the boundary layer in a flat plate, which is essential in understanding the viscous flow behavior and its impact on the surrounding air is calculated using Static Density = (Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-Layer Momentum Thickness for Transition). To calculate Static Density Equation using Boundary-Layer Momentum Thickness, you need Reynolds Number (Re), Static Viscosity (μe), Static Velocity (u_e) & Boundary-Layer Momentum Thickness for Transition (θt). With our tool, you need to enter the respective value for Reynolds Number, Static Viscosity, Static Velocity & Boundary-Layer Momentum Thickness for Transition and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Static Density?

In this formula, Static Density uses Reynolds Number, Static Viscosity, Static Velocity & Boundary-Layer Momentum Thickness for Transition. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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