Freestream Velocity over Flat Plate using Stanton Number Calculator

✖Local Heat Transfer Rate, is that energy per second per unit area.ⓘ Local Heat Transfer Rate [q_w]			+10% -10%
✖The Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.ⓘ Stanton Number [St]			+10% -10%
✖Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density [ρ_∞]			+10% -10%
✖Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.ⓘ Adiabatic Wall Enthalpy [h_aw]			+10% -10%
✖Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.ⓘ Wall Enthalpy [h_w]			+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.ⓘ 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 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.
Local Heat Transfer Rate - (Measured in Watt per Square Meter) - Local Heat Transfer Rate, is that energy per second per unit area.
Stanton Number - The Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
Freestream Density - (Measured in Kilogram per Cubic Meter) - Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.
Adiabatic Wall Enthalpy - (Measured in Joule per Kilogram) - Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.
Wall Enthalpy - (Measured in Joule per Kilogram) - Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.

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: 102 Joule per Kilogram --> 102 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*(102-99.2))

Evaluating ... ...

V_∞ = 1020.40816326531

STEP 3: Convert Result to Output's Unit

1020.40816326531 Meter per Second --> No Conversion Required

FINAL ANSWER

1020.40816326531 ≈ 1020.408 Meter per Second <-- Freestream Velocity

(Calculation completed in 00.007 seconds)

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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

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))

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)

Freestream Velocity over Flat Plate using Stanton Number Formula

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 -> 35.4045 = 12000/(2*2.1*(102-99.2)).

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)). Local Heat Transfer Rate, is that energy per second per unit area, The Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid, Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature & Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.

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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