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Static Density Equation using Skin Friction Coefficient Formula

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The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions. Check FAQs

ρ e = \frac{2 \cdot 𝜏}{C f \cdot {u e}^{2}}

ρ_e - Static Density?𝜏 - Shear Stress?C_f - Local Skin-Friction Coefficient?u_e - Static Velocity?

Static Density Equation using Skin Friction Coefficient Example

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Here is how the Static Density Equation using Skin Friction Coefficient equation looks like with Values.

Here is how the Static Density Equation using Skin Friction Coefficient equation looks like with Units.

Here is how the Static Density Equation using Skin Friction Coefficient equation looks like.

1260.3306 = \frac{2 \cdot 61}{0.0012 \cdot {8.8}^{2}}

1260.3306kg/m³ = \frac{2 \cdot 61Pa}{0.0012 \cdot {8.8m/s}^{2}}

1260.3306 = \frac{2 \cdot 61}{0.0012 \cdot {8.8}^{2}}

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Static Density Equation using Skin Friction Coefficient Solution

Follow our step by step solution on how to calculate Static Density Equation using Skin Friction Coefficient?

FIRST Step Consider the formula

ρ e = \frac{2 \cdot 𝜏}{C f \cdot {u e}^{2}}

Next Step Substitute values of Variables

∴

ρ e = \frac{2 \cdot 61Pa}{0.0012 \cdot {8.8m/s}^{2}}

Next Step Prepare to Evaluate

∴

ρ e = \frac{2 \cdot 61}{0.0012 \cdot {8.8}^{2}}

Next Step Evaluate

∴

ρ e = 1260.3305785124kg/m³

LAST Step Rounding Answer

∴

ρ e = 1260.3306kg/m³

Static Density Equation using Skin Friction Coefficient Formula Elements

Variables

Static Density

The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions.

Symbol: ρ_e

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Static Density

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Local Skin-Friction Coefficient

The Local Skin-Friction Coefficient is a dimensionless quantity that characterizes the frictional force exerted by the fluid on the surface in hypersonic flow.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Local Skin-Friction Coefficient

Static Velocity

The Static Velocity is the velocity of the fluid in the boundary layer at a given point, describing the flow characteristics near the surface.

Symbol: u_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Static Velocity

Other formulas in Hypersonic Flow Parameters category

Go Local Skin-Friction Coefficient

C f = \frac{2 \cdot 𝜏}{ρ e \cdot {u e}^{2}}

Go Local Shear Stress at Wall

𝜏 = 0.5 \cdot C f \cdot ρ e \cdot {u e}^{2}

Go Static Velocity Equation using Skin Friction Coefficient

u e = \sqrt{\frac{2 \cdot 𝜏}{C f \cdot ρ e}}

Go Skin Friction Coefficient for Incompressible Flow

c f = \frac{0.664}{\sqrt{Re}}

How to Evaluate Static Density Equation using Skin Friction Coefficient?

Static Density Equation using Skin Friction Coefficient evaluator uses Static Density = (2*Shear Stress)/(Local Skin-Friction Coefficient*Static Velocity^2) to evaluate the Static Density, Static Density Equation using Skin Friction Coefficient formula is a measure of the effective air density at the edge of the boundary layer in hypersonic flow, which is essential in understanding the behavior of fluids at high speeds and temperatures. It plays a crucial role in the design and optimization of hypersonic vehicles and re-entry systems. Static Density is denoted by ρ_e symbol.

How to evaluate Static Density Equation using Skin Friction Coefficient using this online evaluator? To use this online evaluator for Static Density Equation using Skin Friction Coefficient, enter Shear Stress (𝜏), Local Skin-Friction Coefficient (C_f) & Static Velocity (u_e) and hit the calculate button.

FAQs on Static Density Equation using Skin Friction Coefficient

What is the formula to find Static Density Equation using Skin Friction Coefficient?

The formula of Static Density Equation using Skin Friction Coefficient is expressed as Static Density = (2*Shear Stress)/(Local Skin-Friction Coefficient*Static Velocity^2). Here is an example- 1260.331 = (2*61)/(0.00125*8.8^2).

How to calculate Static Density Equation using Skin Friction Coefficient?

With Shear Stress (𝜏), Local Skin-Friction Coefficient (C_f) & Static Velocity (u_e) we can find Static Density Equation using Skin Friction Coefficient using the formula - Static Density = (2*Shear Stress)/(Local Skin-Friction Coefficient*Static Velocity^2).

Can the Static Density Equation using Skin Friction Coefficient be negative?

No, the Static Density Equation using Skin Friction Coefficient, measured in Density cannot be negative.

Which unit is used to measure Static Density Equation using Skin Friction Coefficient?

Static Density Equation using Skin Friction Coefficient 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 Equation using Skin Friction Coefficient can be measured.

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Static Density Equation using Skin Friction Coefficient Formula

Static Density Equation using Skin Friction Coefficient Example

Static Density Equation using Skin Friction Coefficient Solution

Static Density Equation using Skin Friction Coefficient Formula Elements

Other formulas in Hypersonic Flow Parameters category

How to Evaluate Static Density Equation using Skin Friction Coefficient?

FAQs on Static Density Equation using Skin Friction Coefficient

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