Local Heat Transfer over Flat Plate using Stanton Number Formula

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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. Check FAQs
qw=StρV(haw-hw)
qw - Local Heat Transfer Rate?St - Stanton Number?ρ - Freestream Density?V - Freestream Velocity?haw - Adiabatic Wall Enthalpy?hw - Wall Enthalpy?

Local Heat Transfer over Flat Plate using Stanton Number Example

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Here is how the Local Heat Transfer over Flat Plate using Stanton Number equation looks like with Values.

Here is how the Local Heat Transfer over Flat Plate using Stanton Number equation looks like with Units.

Here is how the Local Heat Transfer over Flat Plate using Stanton Number equation looks like.

11999.988Edit=2Edit2.1Edit100Edit(127.7714Edit-99.2Edit)
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Local Heat Transfer over Flat Plate using Stanton Number Solution

Follow our step by step solution on how to calculate Local Heat Transfer over Flat Plate using Stanton Number?

FIRST Step Consider the formula
qw=StρV(haw-hw)
Next Step Substitute values of Variables
qw=22.1kg/m³100m/s(127.7714J/kg-99.2J/kg)
Next Step Prepare to Evaluate
qw=22.1100(127.7714-99.2)
LAST Step Evaluate
qw=11999.988W/m²

Local Heat Transfer over Flat Plate using Stanton Number Formula Elements

Variables
Local Heat Transfer Rate
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.
Symbol: qw
Measurement: Heat Flux DensityUnit: W/m²
Note: Value should be greater than 0.
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.
Symbol: St
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Freestream Density
The Freestream Density is the mass per unit volume of air in the flow field surrounding a hypersonic vehicle, crucial for understanding aerodynamic performance.
Symbol: ρ
Measurement: DensityUnit: kg/m³
Note: Value can be positive or negative.
Freestream Velocity
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.
Symbol: V
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Adiabatic Wall Enthalpy
The Adiabatic Wall Enthalpy is the heat content of a system under adiabatic conditions, relevant for understanding thermal dynamics in hypersonic vehicles.
Symbol: haw
Measurement: Specific EnergyUnit: J/kg
Note: Value should be greater than 0.
Wall Enthalpy
The Wall Enthalpy is the measure of energy transfer at the surface of hypersonic vehicles, reflecting the thermal conditions experienced during high-speed flight.
Symbol: hw
Measurement: Specific EnergyUnit: J/kg
Note: Value should be greater than 0.

Other formulas in Approximate Results Applied to Hypersonic Vehicles category

​Go Freestream Stanton Number for Flat Plate
St=qwρV(haw-hw)
​Go Freestream Density over Flat Plate using Stanton Number
ρ=qwStV(haw-hw)
​Go Freestream Velocity over Flat Plate using Stanton Number
V=qwStρ(haw-hw)
​Go Adiabatic Wall Enthalpy over Flat Plate using Stanton Number
haw=qwρVSt+hw

How to Evaluate Local Heat Transfer over Flat Plate using Stanton Number?

Local Heat Transfer over Flat Plate using Stanton Number evaluator uses Local Heat Transfer Rate = Stanton Number*Freestream Density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy) to evaluate the Local Heat Transfer Rate, Local Heat Transfer over Flat Plate using Stanton Number formula is defined as a measure of the heat transfer rate between the flat plate and the surrounding fluid, characterizing the convective heat transfer process in viscous flow cases, where the plate's surface temperature and the fluid's free stream temperature and velocity influence the heat transfer rate. Local Heat Transfer Rate is denoted by qw symbol.

How to evaluate Local Heat Transfer over Flat Plate using Stanton Number using this online evaluator? To use this online evaluator for Local Heat Transfer over Flat Plate using Stanton Number, enter Stanton Number (St), Freestream Density ), Freestream Velocity (V), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw) and hit the calculate button.

FAQs on Local Heat Transfer over Flat Plate using Stanton Number

What is the formula to find Local Heat Transfer over Flat Plate using Stanton Number?
The formula of Local Heat Transfer over Flat Plate using Stanton Number is expressed as Local Heat Transfer Rate = Stanton Number*Freestream Density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy). Here is an example- 1176 = 2*2.1*100*(127.7714-99.2).
How to calculate Local Heat Transfer over Flat Plate using Stanton Number?
With Stanton Number (St), Freestream Density ), Freestream Velocity (V), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw) we can find Local Heat Transfer over Flat Plate using Stanton Number using the formula - Local Heat Transfer Rate = Stanton Number*Freestream Density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy).
Can the Local Heat Transfer over Flat Plate using Stanton Number be negative?
No, the Local Heat Transfer over Flat Plate using Stanton Number, measured in Heat Flux Density cannot be negative.
Which unit is used to measure Local Heat Transfer over Flat Plate using Stanton Number?
Local Heat Transfer over Flat Plate using Stanton Number is usually measured using the Watt per Square Meter[W/m²] for Heat Flux Density. Kilowatt per Square Meter[W/m²], Watt per Square Centimeter[W/m²], Watt per Square Inch[W/m²] are the few other units in which Local Heat Transfer over Flat Plate using Stanton Number can be measured.
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