Local Heat Transfer over Flat Plate using Stanton Number Calculator

✖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.ⓘ Stanton Number [St]			+10% -10%
✖The Freestream Density is the mass per unit volume of air in the flow field surrounding a hypersonic vehicle, crucial for understanding aerodynamic performance.ⓘ Freestream Density [ρ_∞]			+10% -10%
✖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.ⓘ Freestream Velocity [V_∞]			+10% -10%
✖The Adiabatic Wall Enthalpy is the heat content of a system under adiabatic conditions, relevant for understanding thermal dynamics in hypersonic vehicles.ⓘ Adiabatic Wall Enthalpy [h_aw]			+10% -10%
✖The Wall Enthalpy is the measure of energy transfer at the surface of hypersonic vehicles, reflecting the thermal conditions experienced during high-speed flight.ⓘ Wall Enthalpy [h_w]			+10% -10%

✖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.ⓘ Local Heat Transfer over Flat Plate using Stanton Number [q_w]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hypersonic Flow Formula PDF PDF Image

Local Heat Transfer over Flat Plate using Stanton Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Local Heat Transfer Rate - (Measured in Watt per Square Meter) - 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.
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.
Freestream Density - (Measured in Kilogram per Cubic Meter) - The Freestream Density is the mass per unit volume of air in the flow field surrounding a hypersonic vehicle, crucial for understanding aerodynamic performance.
Freestream Velocity - (Measured in Meter per Second) - 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.
Adiabatic Wall Enthalpy - (Measured in Joule per Kilogram) - The Adiabatic Wall Enthalpy is the heat content of a system under adiabatic conditions, relevant for understanding thermal dynamics in hypersonic vehicles.
Wall Enthalpy - (Measured in Joule per Kilogram) - The Wall Enthalpy is the measure of energy transfer at the surface of hypersonic vehicles, reflecting the thermal conditions experienced during high-speed flight.

STEP 1: Convert Input(s) to Base Unit

Stanton Number: 2 --> 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: 127.7714 Joule per Kilogram --> 127.7714 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

q_w = St*ρ_∞*V_∞*(h_aw-h_w) --> 2*2.1*100*(127.7714-99.2)

Evaluating ... ...

q_w = 11999.988

STEP 3: Convert Result to Output's Unit

11999.988 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

11999.988 ≈ 11999.99 Watt per Square Meter <-- Local Heat Transfer Rate

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Approximate Results Applied to Hypersonic Vehicles » Local Heat Transfer 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 Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< Approximate Results Applied to Hypersonic Vehicles Calculators

Freestream Velocity over Flat Plate using Stanton Number

LaTeX Go Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Freestream Density over Flat Plate using Stanton Number

LaTeX Go Freestream Density = Local Heat Transfer Rate/(Stanton Number*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Freestream Stanton Number for Flat Plate

LaTeX 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

LaTeX Go Local Heat Transfer Rate = Stanton Number*Freestream Density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)

Local Heat Transfer over Flat Plate using Stanton Number Formula

LaTeX Go

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

Local Heat Transfer over Flat Plate using Stanton Number calculator uses Local Heat Transfer Rate = Stanton Number*Freestream Density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy) to calculate 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 q_w symbol.

How to calculate Local Heat Transfer over Flat Plate using Stanton Number using this online calculator? To use this online calculator for Local Heat Transfer over Flat Plate using Stanton Number, enter Stanton Number (St), Freestream Density (ρ_∞), Freestream Velocity (V_∞), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button. Here is how the Local Heat Transfer over Flat Plate using Stanton Number calculation can be explained with given input values -> 1176 = 2*2.1*100*(127.7714-99.2).

FAQ

What is Local Heat Transfer over Flat Plate using Stanton Number?

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 and is represented as q_w = St*ρ_∞*V_∞*(h_aw-h_w) or Local Heat Transfer Rate = Stanton Number*Freestream Density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy). 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, The Freestream Density is the mass per unit volume of air in the flow field surrounding a hypersonic vehicle, crucial for understanding aerodynamic performance, 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, The Adiabatic Wall Enthalpy is the heat content of a system under adiabatic conditions, relevant for understanding thermal dynamics in hypersonic vehicles & The Wall Enthalpy is the measure of energy transfer at the surface of hypersonic vehicles, reflecting the thermal conditions experienced during high-speed flight.

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

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 is calculated using Local Heat Transfer Rate = Stanton Number*Freestream Density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy). To calculate Local Heat Transfer over Flat Plate using Stanton Number, you need Stanton Number (St), 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 Stanton Number, 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.

Home

FREE PDFs

🔍 Search