Free Stream Velocity over Flat Plate with Freestream Conditions Calculator

✖Total Specific Enthalpy defined to be the sum of the internal energy E plus the product of the pressure p and volume V.ⓘ Total Specific Enthalpy [h₀]			+10% -10%
✖Freestream specific enthalpy is the enthalpy of the continuous flow of fluid and the sum of the internal energy E plus the product of the pressure p and volume V.ⓘ Freestream Specific Enthalpy [h_∞]			+10% -10%

✖The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.ⓘ Free Stream Velocity over Flat Plate with Freestream Conditions [V_∞]

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Free Stream Velocity over Flat Plate with Freestream Conditions

Formula

`"V"_{"∞"} = sqrt(2*("h"_{"0"}-"h"_{"∞"}))`

Example

`"12.56981m/s"=sqrt(2*("200J/kg"-"121J/kg"))`

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Free Stream Velocity over Flat Plate with Freestream Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy))
V_∞ = sqrt(2*(h₀-h_∞))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Freestream Velocity - (Measured in Meter per Second) - The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.
Total Specific Enthalpy - (Measured in Joule per Kilogram) - Total Specific Enthalpy defined to be the sum of the internal energy E plus the product of the pressure p and volume V.
Freestream Specific Enthalpy - (Measured in Joule per Kilogram) - Freestream specific enthalpy is the enthalpy of the continuous flow of fluid and the sum of the internal energy E plus the product of the pressure p and volume V.

STEP 1: Convert Input(s) to Base Unit

Total Specific Enthalpy: 200 Joule per Kilogram --> 200 Joule per Kilogram No Conversion Required
Freestream Specific Enthalpy: 121 Joule per Kilogram --> 121 Joule per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = sqrt(2*(h₀-h_∞)) --> sqrt(2*(200-121))

Evaluating ... ...

V_∞ = 12.5698050899765

STEP 3: Convert Result to Output's Unit

12.5698050899765 Meter per Second --> No Conversion Required

FINAL ANSWER

12.5698050899765 ≈ 12.56981 Meter per Second <-- Freestream Velocity

(Calculation completed in 00.016 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Approximate Results Applied to Hypersonic Vehicles » Free Stream Velocity over Flat Plate with Freestream Conditions

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Amrita School of Engineering (ASE), Vallikavu

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< 15 Approximate Results Applied to Hypersonic Vehicles Calculators

Freestream Velocity over Flat Plate using Stanton Number

Go Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream density*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Freestream Density over Flat Plate using Stanton Number

Go Freestream density = Local Heat Transfer Rate/(Stanton Number*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Freestream Stanton Number for Flat Plate

Go Stanton Number = Local Heat Transfer Rate/(Freestream density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Adiabatic Wall Enthalpy over Flat Plate using Stanton Number

Go Adiabatic Wall Enthalpy = Local Heat Transfer Rate/(Freestream density*Freestream Velocity*Stanton Number)+Wall Enthalpy

Local Heat Transfer over Flat Plate using Stanton Number

Go Local Heat Transfer Rate = Stanton Number*Freestream density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)

Wall Enthalpy over Flat Plate using Stanton Number

Go Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Freestream density*Freestream Velocity*Stanton Number)

Free Stream Velocity over Flat Plate using Drag Force

Go Freestream Velocity = sqrt(Drag Force/(0.5*Freestream density*Reference Area*Drag Coefficient))

Coefficient of Drag over Flat under Freestream Flow Conditions

Go Drag Coefficient = Drag Force/(0.5*Freestream density*Freestream Velocity^2*Reference Area)

Freestream Density over Flat under Freestream Flow Conditions

Go Freestream density = Drag Force/(0.5*Drag Coefficient*Freestream Velocity^2*Reference Area)

Drag Force over Flat Plate

Go Drag Force = 0.5*Freestream density*Freestream Velocity^2*Reference Area*Drag Coefficient

Free Stream Velocity over Flat Plate with Freestream Conditions

Go Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy))

Pressure Ratio for Insulated Flat Plate, Weak Interaction

Go Pressure Ratio = 1+0.31*Viscous Interaction Similarity Parameter+0.05*Viscous Interaction Similarity Parameter^2

Free Stream Enthalpy over Flat Plate with Freestream Conditions

Go Freestream Specific Enthalpy = Total Specific Enthalpy-(Freestream Velocity^2)/2

Total Enthalpy over Flat Plate with Freestream Conditions

Go Total Specific Enthalpy = Freestream Specific Enthalpy+(Freestream Velocity^2)/2

Pressure Ratio for Insulated Flat Plate, Strong Interaction

Go Pressure Ratio = 0.514*Viscous Interaction Similarity Parameter+0.759

Free Stream Velocity over Flat Plate with Freestream Conditions Formula

Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy))
V_∞ = sqrt(2*(h₀-h_∞))

What is enthalpy?

Enthalpy is a property of a thermodynamic system, defined as the sum of the system's internal energy and the product of its pressure and volume.

How to Calculate Free Stream Velocity over Flat Plate with Freestream Conditions?

Free Stream Velocity over Flat Plate with Freestream Conditions calculator uses Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy)) to calculate the Freestream Velocity, The Free stream velocity over flat plate with freestream conditions formula is defined as the square root of double the difference in total enthalpy and freestream enthalpy. Freestream Velocity is denoted by V_∞ symbol.

How to calculate Free Stream Velocity over Flat Plate with Freestream Conditions using this online calculator? To use this online calculator for Free Stream Velocity over Flat Plate with Freestream Conditions, enter Total Specific Enthalpy (h₀) & Freestream Specific Enthalpy (h_∞) and hit the calculate button. Here is how the Free Stream Velocity over Flat Plate with Freestream Conditions calculation can be explained with given input values -> 12.56981 = sqrt(2*(200-121)).

FAQ

What is Free Stream Velocity over Flat Plate with Freestream Conditions?

The Free stream velocity over flat plate with freestream conditions formula is defined as the square root of double the difference in total enthalpy and freestream enthalpy and is represented as V_∞ = sqrt(2*(h₀-h_∞)) or Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy)). Total Specific Enthalpy defined to be the sum of the internal energy E plus the product of the pressure p and volume V & Freestream specific enthalpy is the enthalpy of the continuous flow of fluid and the sum of the internal energy E plus the product of the pressure p and volume V.

How to calculate Free Stream Velocity over Flat Plate with Freestream Conditions?

The Free stream velocity over flat plate with freestream conditions formula is defined as the square root of double the difference in total enthalpy and freestream enthalpy is calculated using Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy)). To calculate Free Stream Velocity over Flat Plate with Freestream Conditions, you need Total Specific Enthalpy (h₀) & Freestream Specific Enthalpy (h_∞). With our tool, you need to enter the respective value for Total Specific Enthalpy & Freestream Specific Enthalpy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Freestream Velocity?

In this formula, Freestream Velocity uses Total Specific Enthalpy & Freestream Specific Enthalpy. We can use 2 other way(s) to calculate the same, which is/are as follows -

Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream density*(Adiabatic Wall Enthalpy-Wall Enthalpy))
Freestream Velocity = sqrt(Drag Force/(0.5*Freestream density*Reference Area*Drag Coefficient))

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