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Free Stream Velocity over Flat Plate using Drag Force Formula

GoFreestream Velocity over Flat Plate using Stanton Number Formula

GoFree Stream Velocity over Flat Plate with Freestream Conditions Formula

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The Freestream Velocity is the speed of fluid flow far away from any influence of objects, crucial for analyzing hypersonic vehicle performance and aerodynamic characteristics. Check FAQs

V ∞ = \sqrt{\frac{F D}{0.5 \cdot ρ ∞ \cdot S \cdot C D}}

V_∞ - Freestream Velocity?F_D - Drag Force?ρ_∞ - Freestream Density?S - Reference Area?C_D - Drag Coefficient?

Free Stream Velocity over Flat Plate using Drag Force Example

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Here is how the Free Stream Velocity over Flat Plate using Drag Force equation looks like with Values.

Here is how the Free Stream Velocity over Flat Plate using Drag Force equation looks like with Units.

Here is how the Free Stream Velocity over Flat Plate using Drag Force equation looks like.

100 = \sqrt{\frac{81.9836}{0.5 \cdot 2.1 \cdot 5.08 \cdot 0.0015}}

100m/s = \sqrt{\frac{81.9836N}{0.5 \cdot 2.1kg/m³ \cdot 5.08m² \cdot 0.0015}}

100 = \sqrt{\frac{81.9836}{0.5 \cdot 2.1 \cdot 5.08 \cdot 0.0015}}

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Free Stream Velocity over Flat Plate using Drag Force Solution

Follow our step by step solution on how to calculate Free Stream Velocity over Flat Plate using Drag Force?

FIRST Step Consider the formula

V ∞ = \sqrt{\frac{F D}{0.5 \cdot ρ ∞ \cdot S \cdot C D}}

Next Step Substitute values of Variables

∴

V ∞ = \sqrt{\frac{81.9836N}{0.5 \cdot 2.1kg/m³ \cdot 5.08m² \cdot 0.0015}}

Next Step Prepare to Evaluate

∴

V ∞ = \sqrt{\frac{81.9836}{0.5 \cdot 2.1 \cdot 5.08 \cdot 0.0015}}

LAST Step Evaluate

∴

V ∞ = 100m/s

Free Stream Velocity over Flat Plate using Drag Force Formula Elements

Variables

Functions

Freestream Velocity

The Freestream Velocity is the speed of fluid flow far away from any influence of objects, crucial for analyzing hypersonic vehicle performance and aerodynamic characteristics.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Drag Force

The Drag Force is the resistance experienced by an object moving through a fluid, significantly impacting the performance and stability of hypersonic vehicles.

Symbol: F_D

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag Force

Freestream Density

The Freestream Density is the mass per unit volume of air in the flow field surrounding a hypersonic vehicle, crucial for understanding aerodynamic performance.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Reference Area

The Reference Area is the projected area of a hypersonic vehicle that is used for aerodynamic analysis and performance evaluation in flight.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

Drag Coefficient

The Drag Coefficient is a dimensionless number that quantifies the drag or resistance of an object in a fluid environment, specifically for hypersonic vehicles.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

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 to find Freestream Velocity

Go Freestream Velocity over Flat Plate using Stanton Number

V ∞ = \frac{q w}{St \cdot ρ ∞ \cdot (h aw - h w)}

Go Free Stream Velocity over Flat Plate with Freestream Conditions

V ∞ = \sqrt{2 \cdot (h 0 - h ∞)}

Other formulas in Approximate Results Applied to Hypersonic Vehicles category

Go Freestream Stanton Number for Flat Plate

St = \frac{q w}{ρ ∞ \cdot V ∞ \cdot (h aw - h w)}

Go Local Heat Transfer over Flat Plate using Stanton Number

q w = St \cdot ρ ∞ \cdot V ∞ \cdot (h aw - h w)

Go Freestream Density over Flat Plate using Stanton Number

ρ ∞ = \frac{q w}{St \cdot V ∞ \cdot (h aw - h w)}

Go Adiabatic Wall Enthalpy over Flat Plate using Stanton Number

h aw = \frac{q w}{ρ ∞ \cdot V ∞ \cdot St} + h w

How to Evaluate Free Stream Velocity over Flat Plate using Drag Force?

Free Stream Velocity over Flat Plate using Drag Force evaluator uses Freestream Velocity = sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient)) to evaluate the Freestream Velocity, Free Stream Velocity over Flat Plate using Drag Force formula is defined as the velocity of the fluid approaching the flat plate, which is affected by the drag force, air density, surface area, and drag coefficient, and is an essential parameter in understanding the viscous flow over a flat plate. Freestream Velocity is denoted by V_∞ symbol.

How to evaluate Free Stream Velocity over Flat Plate using Drag Force using this online evaluator? To use this online evaluator for Free Stream Velocity over Flat Plate using Drag Force, enter Drag Force (F_D), Freestream Density (ρ_∞), Reference Area (S) & Drag Coefficient (C_D) and hit the calculate button.

FAQs on Free Stream Velocity over Flat Plate using Drag Force

What is the formula to find Free Stream Velocity over Flat Plate using Drag Force?

The formula of Free Stream Velocity over Flat Plate using Drag Force is expressed as Freestream Velocity = sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient)). Here is an example- 100.01 = sqrt(81.98358/(0.5*2.1*5.08*0.001537)).

How to calculate Free Stream Velocity over Flat Plate using Drag Force?

With Drag Force (F_D), Freestream Density (ρ_∞), Reference Area (S) & Drag Coefficient (C_D) we can find Free Stream Velocity over Flat Plate using Drag Force using the formula - Freestream Velocity = sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Freestream Velocity?

Here are the different ways to Calculate Freestream Velocity-

Freestream Velocity=Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy))
Freestream Velocity=sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy))

Can the Free Stream Velocity over Flat Plate using Drag Force be negative?

Yes, the Free Stream Velocity over Flat Plate using Drag Force, measured in Speed can be negative.

Which unit is used to measure Free Stream Velocity over Flat Plate using Drag Force?

Free Stream Velocity over Flat Plate using Drag Force 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 Free Stream Velocity over Flat Plate using Drag Force can be measured.

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Free Stream Velocity over Flat Plate using Drag Force Formula

​GoFreestream Velocity over Flat Plate using Stanton Number Formula

​GoFree Stream Velocity over Flat Plate with Freestream Conditions Formula

Free Stream Velocity over Flat Plate using Drag Force Example

Free Stream Velocity over Flat Plate using Drag Force Solution

Free Stream Velocity over Flat Plate using Drag Force Formula Elements

Other Formulas to find Freestream Velocity

Other formulas in Approximate Results Applied to Hypersonic Vehicles category

How to Evaluate Free Stream Velocity over Flat Plate using Drag Force?

FAQs on Free Stream Velocity over Flat Plate using Drag Force

Variable Name

GoFreestream Velocity over Flat Plate using Stanton Number Formula

GoFree Stream Velocity over Flat Plate with Freestream Conditions Formula