Free Stream Velocity over Flat Plate using Drag Force Calculator

✖The Drag Force is the resistance experienced by an object moving through a fluid, significantly impacting the performance and stability of hypersonic vehicles.ⓘ Drag Force [F_D]			+10% -10%
✖The Freestream Density is the mass per unit volume of air in the flow field surrounding a hypersonic vehicle, crucial for understanding aerodynamic performance.ⓘ Freestream Density [ρ_∞]			+10% -10%
✖The Reference Area is the projected area of a hypersonic vehicle that is used for aerodynamic analysis and performance evaluation in flight.ⓘ Reference Area [S]			+10% -10%
✖The Drag Coefficient is a dimensionless number that quantifies the drag or resistance of an object in a fluid environment, specifically for hypersonic vehicles.ⓘ Drag Coefficient [C_D]			+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 using Drag Force [V_∞]

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Free Stream Velocity over Flat Plate using Drag Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Freestream Velocity = sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient))
V_∞ = sqrt(F_D/(0.5*ρ_∞*S*C_D))
This formula uses 1 Functions, 5 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.
Drag Force - (Measured in Newton) - The Drag Force is the resistance experienced by an object moving through a fluid, significantly impacting the performance and stability of hypersonic vehicles.
Freestream Density - (Measured in Kilogram per Cubic Meter) - The Freestream Density is the mass per unit volume of air in the flow field surrounding a hypersonic vehicle, crucial for understanding aerodynamic performance.
Reference Area - (Measured in Square Meter) - The Reference Area is the projected area of a hypersonic vehicle that is used for aerodynamic analysis and performance evaluation in flight.
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.

STEP 1: Convert Input(s) to Base Unit

Drag Force: 81.98358 Newton --> 81.98358 Newton No Conversion Required
Freestream Density: 2.1 Kilogram per Cubic Meter --> 2.1 Kilogram per Cubic Meter No Conversion Required
Reference Area: 5.08 Square Meter --> 5.08 Square Meter No Conversion Required
Drag Coefficient: 0.001537 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = sqrt(F_D/(0.5*ρ_∞*S*C_D)) --> sqrt(81.98358/(0.5*2.1*5.08*0.001537))

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 00.020 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 using Drag Force Formula

LaTeX Go

Freestream Velocity = sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient))
V_∞ = sqrt(F_D/(0.5*ρ_∞*S*C_D))

What is Drag Force?

A drag force is the resistance force caused by the motion of a body through a fluid, such as water or air. A drag force acts opposite to the direction of the oncoming flow velocity.

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

Free Stream Velocity over Flat Plate using Drag Force calculator uses Freestream Velocity = sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient)) to calculate 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 calculate Free Stream Velocity over Flat Plate using Drag Force using this online calculator? To use this online calculator 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. Here is how the Free Stream Velocity over Flat Plate using Drag Force calculation can be explained with given input values -> 100.01 = sqrt(81.98358/(0.5*2.1*5.08*0.001537)).

FAQ

What is Free Stream Velocity over Flat Plate using Drag Force?

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 and is represented as V_∞ = sqrt(F_D/(0.5*ρ_∞*S*C_D)) or Freestream Velocity = sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient)). The Drag Force is the resistance experienced by an object moving through a fluid, significantly impacting the performance and stability of hypersonic vehicles, The Freestream Density is the mass per unit volume of air in the flow field surrounding a hypersonic vehicle, crucial for understanding aerodynamic performance, The Reference Area is the projected area of a hypersonic vehicle that is used for aerodynamic analysis and performance evaluation in flight & The Drag Coefficient is a dimensionless number that quantifies the drag or resistance of an object in a fluid environment, specifically for hypersonic vehicles.

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

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 is calculated using Freestream Velocity = sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient)). To calculate Free Stream Velocity over Flat Plate using Drag Force, you need Drag Force (F_D), Freestream Density (ρ_∞), Reference Area (S) & Drag Coefficient (C_D). With our tool, you need to enter the respective value for Drag Force, Freestream Density, Reference Area & Drag Coefficient 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 Drag Force, Freestream Density, Reference Area & Drag Coefficient. 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(2*(Total Specific Enthalpy-Freestream Specific Enthalpy))

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