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Static Density at Transition Point Formula

GoStatic Density Equation using Boundary-Layer Momentum Thickness Formula

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The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions. Check FAQs

ρ e = \frac{Ret \cdot μe}{u e \cdot xt}

ρ_e - Static Density?Ret - Transition Reynolds Number?μe - Static Viscosity?u_e - Static Velocity?xt - Location Transition Point?

Static Density at Transition Point Example

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Here is how the Static Density at Transition Point equation looks like with Values.

Here is how the Static Density at Transition Point equation looks like with Units.

Here is how the Static Density at Transition Point equation looks like.

98.3 = \frac{2500 \cdot 11.2}{8.8 \cdot 3.2368}

98.3kg/m³ = \frac{2500 \cdot 11.2P}{8.8m/s \cdot 3.2368m}

98.3 = \frac{2500 \cdot 11.2}{8.8 \cdot 3.2368}

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Static Density at Transition Point Solution

Follow our step by step solution on how to calculate Static Density at Transition Point?

FIRST Step Consider the formula

ρ e = \frac{Ret \cdot μe}{u e \cdot xt}

Next Step Substitute values of Variables

∴

ρ e = \frac{2500 \cdot 11.2P}{8.8m/s \cdot 3.2368m}

Next Step Convert Units

∴

ρ e = \frac{2500 \cdot 1.12Pa*s}{8.8m/s \cdot 3.2368m}

Next Step Prepare to Evaluate

∴

ρ e = \frac{2500 \cdot 1.12}{8.8 \cdot 3.2368}

Next Step Evaluate

∴

ρ e = 98.2999859992734kg/m³

LAST Step Rounding Answer

∴

ρ e = 98.3kg/m³

Static Density at Transition Point Formula Elements

Variables

Static Density

The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions.

Symbol: ρ_e

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Static Density

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.

Symbol: Ret

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Transition Reynolds Number

Static Viscosity

The Static Viscosity is a measure of a fluid's resistance to flow and deformation under shear stress, particularly relevant in hypersonic transition scenarios.

Symbol: μe

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Static Viscosity

Static Velocity

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.

Symbol: u_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Static Velocity

Location Transition Point

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.

Symbol: xt

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Location Transition Point

Other Formulas to find Static Density

Go Static Density Equation using Boundary-Layer Momentum Thickness

ρ e = \frac{Re \cdot μe}{u e \cdot θt}

Other formulas in Hypersonic Transition category

Go Transition Reynolds Number

Ret = \frac{ρ e \cdot u e \cdot xt}{μe}

Go Static Velocity at Transition Point

u e = \frac{Ret \cdot μe}{ρ e \cdot xt}

Go Location of Transition Point

xt = \frac{Ret \cdot μe}{u e \cdot ρ e}

Go Static Viscosity at Transition Point

μe = \frac{ρ e \cdot u e \cdot xt}{Ret}

How to Evaluate Static Density at Transition Point?

Static Density at Transition Point evaluator uses Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point) to evaluate the Static Density, Static Density at Transition Point formula is defined as a measure of the density of a fluid at the point of transition from laminar to turbulent flow in a flat plate for viscous flow case, which is an important parameter in understanding the behavior of fluids in various engineering applications. Static Density is denoted by ρ_e symbol.

How to evaluate Static Density at Transition Point using this online evaluator? To use this online evaluator for Static Density at Transition Point, enter Transition Reynolds Number (Ret), Static Viscosity (μe), Static Velocity (u_e) & Location Transition Point (xt) and hit the calculate button.

FAQs on Static Density at Transition Point

What is the formula to find Static Density at Transition Point?

The formula of Static Density at Transition Point is expressed as Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point). Here is an example- 26.51515 = (2500*1.12)/(8.8*3.236845).

How to calculate Static Density at Transition Point?

With Transition Reynolds Number (Ret), Static Viscosity (μe), Static Velocity (u_e) & Location Transition Point (xt) we can find Static Density at Transition Point using the formula - Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point).

What are the other ways to Calculate Static Density?

Here are the different ways to Calculate Static Density-

Static Density=(Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-Layer Momentum Thickness for Transition)

Can the Static Density at Transition Point be negative?

No, the Static Density at Transition Point, measured in Density cannot be negative.

Which unit is used to measure Static Density at Transition Point?

Static Density at Transition Point is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Static Density at Transition Point can be measured.

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Static Density at Transition Point Formula

​GoStatic Density Equation using Boundary-Layer Momentum Thickness Formula

Static Density at Transition Point Example

Static Density at Transition Point Solution

Static Density at Transition Point Formula Elements

Other Formulas to find Static Density

Other formulas in Hypersonic Transition category

How to Evaluate Static Density at Transition Point?

FAQs on Static Density at Transition Point

Variable Name

GoStatic Density Equation using Boundary-Layer Momentum Thickness Formula