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 = qw/(St*ρ*(haw-hw))
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 = qw/(St*ρ*(haw-hw)) --> 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 00.004 seconds)

Credits

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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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))
Adiabatic Wall Enthalpy over Flat Plate using Stanton Number
Go Adiabatic Wall Enthalpy = Local Heat Transfer Rate/(Freestream density*Freestream Velocity*Stanton Number)+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)
Wall Enthalpy over Flat Plate using Stanton Number
Go Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Freestream density*Freestream Velocity*Stanton Number)
Free Stream Velocity over Flat Plate using Drag Force
Go Freestream Velocity = sqrt(Drag Force/(0.5*Freestream density*Reference Area*Drag Coefficient))
Coefficient of Drag over Flat under Freestream Flow Conditions
Go Drag Coefficient = Drag Force/(0.5*Freestream density*Freestream Velocity^2*Reference Area)
Freestream Density over Flat under Freestream Flow Conditions
Go Freestream density = Drag Force/(0.5*Drag Coefficient*Freestream Velocity^2*Reference Area)
Drag Force over Flat Plate
Go Drag Force = 0.5*Freestream density*Freestream Velocity^2*Reference Area*Drag Coefficient
Free Stream Velocity over Flat Plate with Freestream Conditions
Go Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy))
Pressure Ratio for Insulated Flat Plate, Weak Interaction
Go Pressure Ratio = 1 +0.31*Viscous Interaction Similarity Parameter+0.05*Viscous Interaction Similarity Parameter^2
Free Stream Enthalpy over Flat Plate with Freestream Conditions
Go Freestream Specific Enthalpy = Total Specific Enthalpy-(Freestream Velocity^2)/2
Total Enthalpy over Flat Plate with Freestream Conditions
Go Total Specific Enthalpy = Freestream Specific Enthalpy+(Freestream Velocity^2)/2
Pressure Ratio for Insulated Flat Plate, Strong Interaction
Go Pressure Ratio = 0.514*Viscous Interaction Similarity Parameter+0.759

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 = qw/(St*ρ*(haw-hw))

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, The Freestream velocity 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 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 (qw), Stanton Number (St), Freestream density ), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw) 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?
The Freestream velocity 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 V = qw/(St*ρ*(haw-hw)) 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?
The Freestream velocity 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 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 (qw), Stanton Number (St), Freestream density ), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw). 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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