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Static Velocity using Stanton Number 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 = \frac{q w}{St \cdot ρ e \cdot (h aw - h w)}

u_e - Static Velocity?q_w - Local Heat Transfer Rate?St - Stanton Number?ρ_e - Static Density?h_aw - Adiabatic Wall Enthalpy?h_w - Wall Enthalpy?

Static Velocity using Stanton Number Example

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Here is how the Static Velocity using Stanton Number equation looks like with Values.

Here is how the Static Velocity using Stanton Number equation looks like with Units.

Here is how the Static Velocity using Stanton Number equation looks like.

8.9286 = \frac{12000}{0.4 \cdot 1200 \cdot (102 - 99.2)}

8.9286m/s = \frac{12000W/m²}{0.4 \cdot 1200kg/m³ \cdot (102J/kg - 99.2J/kg)}

8.9286 = \frac{12000}{0.4 \cdot 1200 \cdot (102 - 99.2)}

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Static Velocity using Stanton Number Solution

Follow our step by step solution on how to calculate Static Velocity using Stanton Number?

FIRST Step Consider the formula

u e = \frac{q w}{St \cdot ρ e \cdot (h aw - h w)}

Next Step Substitute values of Variables

∴

u e = \frac{12000W/m²}{0.4 \cdot 1200kg/m³ \cdot (102J/kg - 99.2J/kg)}

Next Step Prepare to Evaluate

∴

u e = \frac{12000}{0.4 \cdot 1200 \cdot (102 - 99.2)}

Next Step Evaluate

∴

u e = 8.92857142857144m/s

LAST Step Rounding Answer

∴

u e = 8.9286m/s

Static Velocity using Stanton Number Formula Elements

Variables

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

Local Heat Transfer Rate

The Local Heat Transfer Rate is the amount of heat transferred per unit area per unit time from the surface to the fluid in a hypersonic boundary layer.

Symbol: q_w

Measurement: Heat Flux DensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Local Heat Transfer Rate

Stanton Number

The Stanton Number is a dimensionless quantity used to characterize heat transfer and frictional drag in the boundary layer of hypersonic flow.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Stanton Number

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

Adiabatic Wall Enthalpy

The Adiabatic Wall Enthalpy is the total enthalpy of a gas at the wall of a hypersonic vehicle, considering the heat transfer and friction effects.

Symbol: h_aw

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Adiabatic Wall Enthalpy

Wall Enthalpy

The Wall Enthalpy is the total heat content of the wall boundary layer in a hypersonic flow, including both sensible and latent heat components.

Symbol: h_w

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Wall Enthalpy

Other formulas in Local Heat Transfer for Hypersonic Flow category

Go Nusselt Number for Hypersonic Vehicle

N u = \frac{q w \cdot x d}{k \cdot (T wall - Tw)}

Go Local Heat Transfer Rate using Nusselt's Number

q w = \frac{N u \cdot k \cdot (T wall - Tw)}{x d}

Go Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number

k = \frac{q w \cdot x d}{N u \cdot (T wall - Tw)}

Go Stanton Number for Hypersonic Vehicle

St = \frac{q w}{ρ e \cdot u e \cdot (h aw - h w)}

How to Evaluate Static Velocity using Stanton Number?

Static Velocity using Stanton Number evaluator uses Static Velocity = Local Heat Transfer Rate/(Stanton Number*Static Density*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to evaluate the Static Velocity, Static Velocity using Stanton Number formula is defined as a measure of the velocity of a fluid in a boundary layer, particularly in hypersonic flow, which is crucial in understanding the behavior of fluids at high speeds and their interaction with surfaces. Static Velocity is denoted by u_e symbol.

How to evaluate Static Velocity using Stanton Number using this online evaluator? To use this online evaluator for Static Velocity using Stanton Number, enter Local Heat Transfer Rate (q_w), Stanton Number (St), Static Density (ρ_e), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button.

FAQs on Static Velocity using Stanton Number

What is the formula to find Static Velocity using Stanton Number?

The formula of Static Velocity using Stanton Number is expressed as Static Velocity = Local Heat Transfer Rate/(Stanton Number*Static Density*(Adiabatic Wall Enthalpy-Wall Enthalpy)). Here is an example- 8.928571 = 12000/(0.4*1200*(102-99.2)).

How to calculate Static Velocity using Stanton Number?

With Local Heat Transfer Rate (q_w), Stanton Number (St), Static Density (ρ_e), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) we can find Static Velocity using Stanton Number using the formula - Static Velocity = Local Heat Transfer Rate/(Stanton Number*Static Density*(Adiabatic Wall Enthalpy-Wall Enthalpy)).

Can the Static Velocity using Stanton Number be negative?

No, the Static Velocity using Stanton Number, measured in Speed cannot be negative.

Which unit is used to measure Static Velocity using Stanton Number?

Static Velocity using Stanton Number 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 using Stanton Number can be measured.

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Static Velocity using Stanton Number Formula

Static Velocity using Stanton Number Example

Static Velocity using Stanton Number Solution

Static Velocity using Stanton Number Formula Elements

Other formulas in Local Heat Transfer for Hypersonic Flow category

How to Evaluate Static Velocity using Stanton Number?

FAQs on Static Velocity using Stanton Number

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