Freestream Density 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%
✖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%

✖Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density over Flat Plate using Stanton Number [ρ_∞]

⎘ Copy

👎

Formula

✖

Freestream Density over Flat Plate using Stanton Number

Formula

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

Example

21.42857 kg/m³ = \frac{12000 W/m²}{2 \cdot 100 m/s \cdot (102 J/kg - 99.2 J/kg)}

Calculator

LaTeX

Reset

👍

Download Hypersonic Flow Formula PDF PDF Image

Freestream Density over Flat Plate using Stanton Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 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
Stanton Number: 2 --> 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

ρ_∞ = q_w/(St*V_∞*(h_aw-h_w)) --> 12000/(2*100*(102-99.2))

Evaluating ... ...

ρ_∞ = 21.4285714285715

STEP 3: Convert Result to Output's Unit

21.4285714285715 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

21.4285714285715 ≈ 21.42857 Kilogram per Cubic Meter <-- Freestream density

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Approximate Results Applied to Hypersonic Vehicles » Freestream Density over Flat Plate using Stanton Number

Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

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

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 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 Density over Flat Plate using Stanton Number Formula

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

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

How to calculate Freestream Density over Flat Plate using Stanton Number using this online calculator? To use this online calculator for Freestream Density over Flat Plate using Stanton Number, enter Local Heat Transfer Rate (q_w), Stanton Number (St), Freestream Velocity (V_∞), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button. Here is how the Freestream Density over Flat Plate using Stanton Number calculation can be explained with given input values -> 0.743494 = 12000/(2*100*(102-99.2)).

FAQ

What is Freestream Density over Flat Plate using Stanton Number?

The Freestream density over flat plate using Stanton number 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 ρ_∞ = q_w/(St*V_∞*(h_aw-h_w)) or Freestream density = Local Heat Transfer Rate/(Stanton Number*Freestream Velocity*(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, 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 Density over Flat Plate using Stanton Number?

The Freestream density over flat plate using Stanton number formula is defined as the interrelation between, local heat transfer rate, freestream density, freestream velocity, adiabatic wall enthalpy and wall enthalpy is calculated using Freestream density = Local Heat Transfer Rate/(Stanton Number*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)). To calculate Freestream Density over Flat Plate using Stanton Number, you need Local Heat Transfer Rate (q_w), Stanton Number (St), 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, Stanton Number, 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.

How many ways are there to calculate Freestream density?

In this formula, Freestream density uses Local Heat Transfer Rate, Stanton Number, Freestream Velocity, Adiabatic Wall Enthalpy & Wall Enthalpy. We can use 1 other way(s) to calculate the same, which is/are as follows -

Freestream density = Drag Force/(0.5*Drag Coefficient*Freestream Velocity^2*Reference Area)

Home

FREE PDFs

🔍 Search