Free Stream Velocity over Flat Plate with Freestream Conditions Calculator

✖The Total Specific Enthalpy is the total energy per unit mass of a system, accounting for both internal energy and the energy associated with pressure and temperature.ⓘ Total Specific Enthalpy [h₀]			+10% -10%
✖The Freestream Specific Enthalpy is the total energy per unit mass of a fluid in motion, crucial for analyzing hypersonic vehicle performance and thermodynamic processes.ⓘ Freestream Specific Enthalpy [h_∞]			+10% -10%

✖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.ⓘ Free Stream Velocity over Flat Plate with Freestream Conditions [V_∞]

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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 speed of fluid flow far away from any influence of objects, crucial for analyzing hypersonic vehicle performance and aerodynamic characteristics.
Total Specific Enthalpy - (Measured in Joule per Kilogram) - The Total Specific Enthalpy is the total energy per unit mass of a system, accounting for both internal energy and the energy associated with pressure and temperature.
Freestream Specific Enthalpy - (Measured in Joule per Kilogram) - The Freestream Specific Enthalpy is the total energy per unit mass of a fluid in motion, crucial for analyzing hypersonic vehicle performance and thermodynamic processes.

STEP 1: Convert Input(s) to Base Unit

Total Specific Enthalpy: 5121 Joule per Kilogram --> 5121 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*(5121-121))

Evaluating ... ...

V_∞ = 100

STEP 3: Convert Result to Output's Unit

100 Meter per Second --> No Conversion Required

FINAL ANSWER

100 Meter per Second <-- Freestream Velocity

(Calculation completed in 00.006 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Approximate Results Applied to Hypersonic Vehicles Calculators

Freestream Velocity over Flat Plate using Stanton Number

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

Freestream Density over Flat Plate using Stanton Number

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

Freestream Stanton Number for Flat Plate

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

Local Heat Transfer over Flat Plate using Stanton Number

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

Free Stream Velocity over Flat Plate with Freestream Conditions Formula

LaTeX Go

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, Free Stream Velocity over Flat Plate with Freestream Conditions formula is defined as the velocity of the fluid approaching a flat plate in a viscous flow case, which is a fundamental concept in fluid dynamics and aerodynamics, used to analyze the behavior of fluids flowing over a flat surface. 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*(5121-121)).

FAQ

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

Free Stream Velocity over Flat Plate with Freestream Conditions formula is defined as the velocity of the fluid approaching a flat plate in a viscous flow case, which is a fundamental concept in fluid dynamics and aerodynamics, used to analyze the behavior of fluids flowing over a flat surface and is represented as V_∞ = sqrt(2*(h₀-h_∞)) or Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy)). The Total Specific Enthalpy is the total energy per unit mass of a system, accounting for both internal energy and the energy associated with pressure and temperature & The Freestream Specific Enthalpy is the total energy per unit mass of a fluid in motion, crucial for analyzing hypersonic vehicle performance and thermodynamic processes.

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

Free Stream Velocity over Flat Plate with Freestream Conditions formula is defined as the velocity of the fluid approaching a flat plate in a viscous flow case, which is a fundamental concept in fluid dynamics and aerodynamics, used to analyze the behavior of fluids flowing over a flat surface 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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