Freestream Velocity over Flat Plate using Stanton Number Calculator

✖The Local Heat Transfer Rate is the measure of heat energy transfer per unit area in hypersonic vehicles, crucial for understanding thermal management and material performance.ⓘ Local Heat Transfer Rate [q_w]			+10% -10%
✖The Stanton Number is a dimensionless quantity that characterizes the heat transfer between a fluid and a surface, particularly in the context of hypersonic vehicles.ⓘ Stanton Number [St]			+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 Adiabatic Wall Enthalpy is the heat content of a system under adiabatic conditions, relevant for understanding thermal dynamics in hypersonic vehicles.ⓘ Adiabatic Wall Enthalpy [h_aw]			+10% -10%
✖The Wall Enthalpy is the measure of energy transfer at the surface of hypersonic vehicles, reflecting the thermal conditions experienced during high-speed flight.ⓘ Wall Enthalpy [h_w]			+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.ⓘ Freestream Velocity over Flat Plate using Stanton Number [V_∞]

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Freestream Velocity over Flat Plate using Stanton Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy))
V_∞ = q_w/(St*ρ_∞*(h_aw-h_w))
This formula uses 6 Variables

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.
Local Heat Transfer Rate - (Measured in Watt per Square Meter) - The Local Heat Transfer Rate is the measure of heat energy transfer per unit area in hypersonic vehicles, crucial for understanding thermal management and material performance.
Stanton Number - The Stanton Number is a dimensionless quantity that characterizes the heat transfer between a fluid and a surface, particularly in the context 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.
Adiabatic Wall Enthalpy - (Measured in Joule per Kilogram) - The Adiabatic Wall Enthalpy is the heat content of a system under adiabatic conditions, relevant for understanding thermal dynamics in hypersonic vehicles.
Wall Enthalpy - (Measured in Joule per Kilogram) - The Wall Enthalpy is the measure of energy transfer at the surface of hypersonic vehicles, reflecting the thermal conditions experienced during high-speed flight.

STEP 1: Convert Input(s) to Base Unit

Local Heat Transfer Rate: 12000 Watt per Square Meter --> 12000 Watt per Square Meter No Conversion Required
Stanton Number: 2 --> No Conversion Required
Freestream Density: 2.1 Kilogram per Cubic Meter --> 2.1 Kilogram per Cubic Meter No Conversion Required
Adiabatic Wall Enthalpy: 127.7714 Joule per Kilogram --> 127.7714 Joule per Kilogram No Conversion Required
Wall Enthalpy: 99.2 Joule per Kilogram --> 99.2 Joule per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = q_w/(St*ρ_∞*(h_aw-h_w)) --> 12000/(2*2.1*(127.7714-99.2))

Evaluating ... ...

V_∞ = 100.0001000001

STEP 3: Convert Result to Output's Unit

100.0001000001 Meter per Second --> No Conversion Required

FINAL ANSWER

100.0001000001 ≈ 100.0001 Meter per Second <-- Freestream Velocity

(Calculation completed in 00.007 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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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)

Freestream Velocity over Flat Plate using Stanton Number Formula

LaTeX Go

Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy))
V_∞ = q_w/(St*ρ_∞*(h_aw-h_w))

What is Stanton Number?

The Stanton number, St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of fluid. It is used to characterize heat transfer in forced convection flows.

How to Calculate Freestream Velocity over Flat Plate using Stanton Number?

Freestream Velocity over Flat Plate using Stanton Number calculator uses Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to calculate the Freestream Velocity, Freestream Velocity over Flat Plate using Stanton Number formula is defined as a measure of the velocity of the fluid approaching the flat plate in a viscous flow case, which is essential in understanding the heat transfer and fluid flow characteristics over the plate. Freestream Velocity is denoted by V_∞ symbol.

How to calculate Freestream Velocity over Flat Plate using Stanton Number using this online calculator? To use this online calculator for Freestream Velocity over Flat Plate using Stanton Number, enter Local Heat Transfer Rate (q_w), Stanton Number (St), Freestream Density (ρ_∞), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button. Here is how the Freestream Velocity over Flat Plate using Stanton Number calculation can be explained with given input values -> 1020.408 = 12000/(2*2.1*(127.7714-99.2)).

FAQ

What is Freestream Velocity over Flat Plate using Stanton Number?

Freestream Velocity over Flat Plate using Stanton Number formula is defined as a measure of the velocity of the fluid approaching the flat plate in a viscous flow case, which is essential in understanding the heat transfer and fluid flow characteristics over the plate and is represented as V_∞ = q_w/(St*ρ_∞*(h_aw-h_w)) or Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy)). The Local Heat Transfer Rate is the measure of heat energy transfer per unit area in hypersonic vehicles, crucial for understanding thermal management and material performance, The Stanton Number is a dimensionless quantity that characterizes the heat transfer between a fluid and a surface, particularly in the context 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 Adiabatic Wall Enthalpy is the heat content of a system under adiabatic conditions, relevant for understanding thermal dynamics in hypersonic vehicles & The Wall Enthalpy is the measure of energy transfer at the surface of hypersonic vehicles, reflecting the thermal conditions experienced during high-speed flight.

How to calculate Freestream Velocity over Flat Plate using Stanton Number?

Freestream Velocity over Flat Plate using Stanton Number formula is defined as a measure of the velocity of the fluid approaching the flat plate in a viscous flow case, which is essential in understanding the heat transfer and fluid flow characteristics over the plate is calculated using Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy)). To calculate Freestream Velocity over Flat Plate using Stanton Number, you need Local Heat Transfer Rate (q_w), Stanton Number (St), Freestream Density (ρ_∞), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w). With our tool, you need to enter the respective value for Local Heat Transfer Rate, Stanton Number, Freestream Density, Adiabatic Wall Enthalpy & Wall 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 Local Heat Transfer Rate, Stanton Number, Freestream Density, Adiabatic Wall Enthalpy & Wall Enthalpy. We can use 2 other way(s) to calculate the same, which is/are as follows -

Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy))
Freestream Velocity = sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient))

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