Freestream Stanton Number for Flat Plate Calculator

✖Local Heat Transfer Rate, is that energy per second per unit area.ⓘ Local Heat Transfer Rate [q_w]			+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%
✖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 [V_∞]			+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 Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.ⓘ Freestream Stanton Number for Flat Plate [St]

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Formula

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Freestream Stanton Number for Flat Plate

Formula

St = \frac{q w}{ρ ∞ \cdot V ∞ \cdot (h aw - h w)}

Example

20.40816 = \frac{12000 W/m²}{2.1 kg/m³ \cdot 100 m/s \cdot (102 J/kg - 99.2 J/kg)}

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Freestream Stanton Number for Flat Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Local Heat Transfer Rate - (Measured in Watt per Square Meter) - Local Heat Transfer Rate, is that energy per second per unit area.
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.
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.
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
Freestream density: 2.1 Kilogram per Cubic Meter --> 2.1 Kilogram per Cubic Meter No Conversion Required
Freestream Velocity: 100 Meter per Second --> 100 Meter per Second 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

St = q_w/(ρ_∞*V_∞*(h_aw-h_w)) --> 12000/(2.1*100*(102-99.2))

Evaluating ... ...

St = 20.4081632653061

STEP 3: Convert Result to Output's Unit

20.4081632653061 --> No Conversion Required

FINAL ANSWER

20.4081632653061 ≈ 20.40816 <-- Stanton Number

(Calculation completed in 00.004 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

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 Stanton Number for Flat Plate Formula

Stanton Number = Local Heat Transfer Rate/(Freestream density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))
St = q_w/(ρ_∞*V_∞*(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 Stanton Number for Flat Plate?

Freestream Stanton Number for Flat Plate calculator uses Stanton Number = Local Heat Transfer Rate/(Freestream density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to calculate the Stanton Number, Freestream Stanton number for flat plate formula is defined as the interrelation between, local heat transfer rate, freestream density, freestream velocity, adiabatic wall enthalpy, and wall enthalpy. Stanton Number is denoted by St symbol.

How to calculate Freestream Stanton Number for Flat Plate using this online calculator? To use this online calculator for Freestream Stanton Number for Flat Plate, enter Local Heat Transfer Rate (q_w), Freestream density (ρ_∞), Freestream Velocity (V_∞), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button. Here is how the Freestream Stanton Number for Flat Plate calculation can be explained with given input values -> 0.70809 = 12000/(2.1*100*(102-99.2)).

FAQ

What is Freestream Stanton Number for Flat Plate?

Freestream Stanton number for flat plate formula is defined as the interrelation between, local heat transfer rate, freestream density, freestream velocity, adiabatic wall enthalpy, and wall enthalpy and is represented as St = q_w/(ρ_∞*V_∞*(h_aw-h_w)) or Stanton Number = Local Heat Transfer Rate/(Freestream density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)). Local Heat Transfer Rate, is that energy per second per unit area, Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, 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, 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 Stanton Number for Flat Plate?

Freestream Stanton number for flat plate formula is defined as the interrelation between, local heat transfer rate, freestream density, freestream velocity, adiabatic wall enthalpy, and wall enthalpy is calculated using Stanton Number = Local Heat Transfer Rate/(Freestream density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)). To calculate Freestream Stanton Number for Flat Plate, you need Local Heat Transfer Rate (q_w), Freestream density (ρ_∞), Freestream Velocity (V_∞), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w). With our tool, you need to enter the respective value for Local Heat Transfer Rate, Freestream density, Freestream Velocity, 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.

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