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Static Velocity Equation using Skin Friction Coefficient Formula

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

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

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

Static Velocity Equation using Skin Friction Coefficient Example

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

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

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

9.0185 = \sqrt{\frac{2 \cdot 61}{0.0012 \cdot 1200}}

9.0185m/s = \sqrt{\frac{2 \cdot 61Pa}{0.0012 \cdot 1200kg/m³}}

9.0185 = \sqrt{\frac{2 \cdot 61}{0.0012 \cdot 1200}}

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Static Velocity Equation using Skin Friction Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

u e = \sqrt{\frac{2 \cdot 61Pa}{0.0012 \cdot 1200kg/m³}}

Next Step Prepare to Evaluate

∴

u e = \sqrt{\frac{2 \cdot 61}{0.0012 \cdot 1200}}

Next Step Evaluate

∴

u e = 9.01849950564579m/s

LAST Step Rounding Answer

∴

u e = 9.0185m/s

Static Velocity Equation using Skin Friction Coefficient Formula Elements

Variables

Functions

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

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 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Density Equation using Skin Friction Coefficient

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

Go Skin Friction Coefficient for Incompressible Flow

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

How to Evaluate Static Velocity Equation using Skin Friction Coefficient?

Static Velocity Equation using Skin Friction Coefficient evaluator uses Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density)) to evaluate the Static Velocity, Static Velocity Equation using Skin Friction Coefficient formula is a measure of the velocity at the edge of the boundary layer in a hypersonic flow, which is affected by the skin friction coefficient and density of the fluid, providing a crucial parameter in understanding the flow behavior. Static Velocity is denoted by u_e symbol.

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

FAQs on Static Velocity Equation using Skin Friction Coefficient

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

The formula of Static Velocity Equation using Skin Friction Coefficient is expressed as Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density)). Here is an example- 9.0185 = sqrt((2*61)/(0.00125*1200)).

How to calculate Static Velocity Equation using Skin Friction Coefficient?

With Shear Stress (𝜏), Local Skin-Friction Coefficient (C_f) & Static Density (ρ_e) we can find Static Velocity Equation using Skin Friction Coefficient using the formula - Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density)). This formula also uses Square Root (sqrt) function(s).

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

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

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

Static Velocity Equation using Skin Friction Coefficient is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Static Velocity Equation using Skin Friction Coefficient can be measured.

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Static Velocity Equation using Skin Friction Coefficient Formula

Static Velocity Equation using Skin Friction Coefficient Example

Static Velocity Equation using Skin Friction Coefficient Solution

Static Velocity Equation using Skin Friction Coefficient Formula Elements

Other formulas in Hypersonic Flow Parameters category

How to Evaluate Static Velocity Equation using Skin Friction Coefficient?

FAQs on Static Velocity Equation using Skin Friction Coefficient

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