Local Heat Transfer Rate Calculation using Stanton Number Calculator

✖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%
✖Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid.ⓘ Static Density [ρ_e]			+10% -10%
✖Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.ⓘ Static Velocity [u_e]			+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%

✖Local Heat Transfer Rate, is that energy per second per unit area.ⓘ Local Heat Transfer Rate Calculation using Stanton Number [q_w]

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Formula

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Local Heat Transfer Rate Calculation using Stanton Number

Formula

`"q"_{"w"} = "St"*"ρ"_{"e"}*"u"_{"e"}*("h"_{"aw"}-"h"_{"w"})`

Example

`"11827.2W/m²"="0.4"*"1200kg/m³"*"8.8m/s"*("102J/kg"-"99.2J/kg")`

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Download Boundary Layer Equations for Hypersonic Flow Formulas PDF

Local Heat Transfer Rate Calculation using Stanton Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Heat Transfer Rate = Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)
q_w = St*ρ_e*u_e*(h_aw-h_w)
This formula uses 6 Variables

Variables Used

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.
Static Density - (Measured in Kilogram per Cubic Meter) - Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid.
Static Velocity - (Measured in Meter per Second) - Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.
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

Stanton Number: 0.4 --> No Conversion Required
Static Density: 1200 Kilogram per Cubic Meter --> 1200 Kilogram per Cubic Meter No Conversion Required
Static Velocity: 8.8 Meter per Second --> 8.8 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

q_w = St*ρ_e*u_e*(h_aw-h_w) --> 0.4*1200*8.8*(102-99.2)

Evaluating ... ...

q_w = 11827.2

STEP 3: Convert Result to Output's Unit

11827.2 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

11827.2 Watt per Square Meter <-- Local Heat Transfer Rate

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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PSG College of Technology (PSGCT), Coimbatore

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< 9 Local Heat Transfer for Hypersonic Flow Calculators

Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number

Go Thermal Conductivity = (Local Heat Transfer Rate*Distance from Nose Tip to Required Base Diameter)/(Nusselt Number*(Adiabatic Wall Temperature-Wall Temperature))

Local Heat Transfer Rate using Nusselt's Number

Go Local Heat Transfer Rate = (Nusselt Number*Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))/(Distance from Nose Tip to Required Base Diameter)

Nusselt Number for Hypersonic Vehicle

Go Nusselt Number = (Local Heat Transfer Rate*Distance from Nose Tip to Required Base Diameter)/(Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))

Static Density Equation using Stanton Number

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

Stanton Number for Hypersonic Vehicle

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

Static Velocity using Stanton Number

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

Local Heat Transfer Rate Calculation using Stanton Number

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

Adiabatic Wall Enthalpy using Stanton Number

Go Adiabatic Wall Enthalpy = Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number)+Wall Enthalpy

Enthalpy of Wall using Stanton Number

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

Local Heat Transfer Rate Calculation using Stanton Number Formula

Local Heat Transfer Rate = Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)
q_w = St*ρ_e*u_e*(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 the fluid.

How to Calculate Local Heat Transfer Rate Calculation using Stanton Number?

Local Heat Transfer Rate Calculation using Stanton Number calculator uses Local Heat Transfer Rate = Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy) to calculate the Local Heat Transfer Rate, Local heat transfer rate calculation using Stanton number formula is defined as the interrelation as local heat transfer, static density, and velocity of the fluid, adiabatic, and wall enthalpy. Local Heat Transfer Rate is denoted by q_w symbol.

How to calculate Local Heat Transfer Rate Calculation using Stanton Number using this online calculator? To use this online calculator for Local Heat Transfer Rate Calculation using Stanton Number, enter Stanton Number (St), Static Density (ρ_e), Static Velocity (u_e), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button. Here is how the Local Heat Transfer Rate Calculation using Stanton Number calculation can be explained with given input values -> 11827.2 = 0.4*1200*8.8*(102-99.2).

FAQ

What is Local Heat Transfer Rate Calculation using Stanton Number?

Local heat transfer rate calculation using Stanton number formula is defined as the interrelation as local heat transfer, static density, and velocity of the fluid, adiabatic, and wall enthalpy and is represented as q_w = St*ρ_e*u_e*(h_aw-h_w) or Local Heat Transfer Rate = Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy). The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid, Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid, Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow, 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 Local Heat Transfer Rate Calculation using Stanton Number?

Local heat transfer rate calculation using Stanton number formula is defined as the interrelation as local heat transfer, static density, and velocity of the fluid, adiabatic, and wall enthalpy is calculated using Local Heat Transfer Rate = Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy). To calculate Local Heat Transfer Rate Calculation using Stanton Number, you need Stanton Number (St), Static Density (ρ_e), Static Velocity (u_e), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w). With our tool, you need to enter the respective value for Stanton Number, Static Density, Static 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 Local Heat Transfer Rate?

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

Local Heat Transfer Rate = (Nusselt Number*Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))/(Distance from Nose Tip to Required Base Diameter)

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