Enthalpy of Wall using Stanton Number Calculator

✖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%
✖Local Heat Transfer Rate, is that energy per second per unit area.ⓘ Local Heat Transfer Rate [q_w]			+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%
✖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%

✖Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.ⓘ Enthalpy of Wall using Stanton Number [h_w]

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Formula

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Enthalpy of Wall using Stanton Number

Formula

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

Example

`"99.15909J/kg"="102J/kg"-"12000W/m²"/("1200kg/m³"*"8.8m/s"*"0.4")`

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Download Boundary Layer Equations for Hypersonic Flow Formulas PDF

Enthalpy of Wall using Stanton Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Local Heat Transfer Rate - (Measured in Watt per Square Meter) - Local Heat Transfer Rate, is that energy per second per unit area.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Adiabatic Wall Enthalpy: 102 Joule per Kilogram --> 102 Joule per Kilogram No Conversion Required
Local Heat Transfer Rate: 12000 Watt per Square Meter --> 12000 Watt per Square Meter 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
Stanton Number: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_w = h_aw-q_w/(ρ_e*u_e*St) --> 102-12000/(1200*8.8*0.4)

Evaluating ... ...

h_w = 99.1590909090909

STEP 3: Convert Result to Output's Unit

99.1590909090909 Joule per Kilogram --> No Conversion Required

FINAL ANSWER

99.1590909090909 ≈ 99.15909 Joule per Kilogram <-- Wall Enthalpy

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Boundary Layer Equations for Hypersonic Flow » Local Heat Transfer for Hypersonic Flow » Enthalpy of Wall using Stanton Number

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Indian Institute of Technology (IIT), Bombay

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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)

Enthalpy of Wall using Stanton Number Formula

Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number)
h_w = h_aw-q_w/(ρ_e*u_e*St)

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

How to Calculate Enthalpy of Wall using Stanton Number?

Enthalpy of Wall using Stanton Number calculator uses Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number) to calculate the Wall Enthalpy, Enthalpy of wall 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 wall enthalpy. Wall Enthalpy is denoted by h_w symbol.

How to calculate Enthalpy of Wall using Stanton Number using this online calculator? To use this online calculator for Enthalpy of Wall using Stanton Number, enter Adiabatic Wall Enthalpy (h_aw), Local Heat Transfer Rate (q_w), Static Density (ρ_e), Static Velocity (u_e) & Stanton Number (St) and hit the calculate button. Here is how the Enthalpy of Wall using Stanton Number calculation can be explained with given input values -> 99.15909 = 102-12000/(1200*8.8*0.4).

FAQ

What is Enthalpy of Wall using Stanton Number?

Enthalpy of wall 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 wall enthalpy and is represented as h_w = h_aw-q_w/(ρ_e*u_e*St) or Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number). Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature, Local Heat Transfer Rate, is that energy per second per unit area, 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 & The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.

How to calculate Enthalpy of Wall using Stanton Number?

Enthalpy of wall 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 wall enthalpy is calculated using Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number). To calculate Enthalpy of Wall using Stanton Number, you need Adiabatic Wall Enthalpy (h_aw), Local Heat Transfer Rate (q_w), Static Density (ρ_e), Static Velocity (u_e) & Stanton Number (St). With our tool, you need to enter the respective value for Adiabatic Wall Enthalpy, Local Heat Transfer Rate, Static Density, Static Velocity & Stanton Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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