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)
hw = haw-qw/(ρe*ue*St)
This formula uses 6 Variables
Variables Used
Wall Enthalpy - (Measured in Joule per Kilogram) - The Wall Enthalpy is the total heat content of the wall boundary layer in a hypersonic flow, including both sensible and latent heat components.
Adiabatic Wall Enthalpy - (Measured in Joule per Kilogram) - The Adiabatic Wall Enthalpy is the total enthalpy of a gas at the wall of a hypersonic vehicle, considering the heat transfer and friction effects.
Local Heat Transfer Rate - (Measured in Watt per Square Meter) - The Local Heat Transfer Rate is the amount of heat transferred per unit area per unit time from the surface to the fluid in a hypersonic boundary layer.
Static Density - (Measured in Kilogram per Cubic Meter) - The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions.
Static Velocity - (Measured in Meter per Second) - The Static Velocity is the velocity of the fluid in the boundary layer at a given point, describing the flow characteristics near the surface.
Stanton Number - The Stanton Number is a dimensionless quantity used to characterize heat transfer and frictional drag in the boundary layer of hypersonic flow.
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
hw = haw-qw/(ρe*ue*St) --> 102-12000/(1200*8.8*0.4)
Evaluating ... ...
hw = 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 00.007 seconds)

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Amrita School of Engineering (ASE), Vallikavu
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Local Heat Transfer for Hypersonic Flow Calculators

Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Nusselt Number = (Local Heat Transfer Rate*Distance from Nose Tip to Required Base Diameter)/(Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))
Stanton Number for Hypersonic Vehicle
​ LaTeX ​ Go Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Enthalpy of Wall using Stanton Number Formula

​LaTeX ​Go
Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number)
hw = haw-qw/(ρe*ue*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 a measure of the total energy of the wall in a hypersonic flow boundary layer, which is a critical parameter in understanding heat transfer and fluid dynamics in high-speed flows. Wall Enthalpy is denoted by hw 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 (haw), Local Heat Transfer Rate (qw), Static Density e), Static Velocity (ue) & 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 a measure of the total energy of the wall in a hypersonic flow boundary layer, which is a critical parameter in understanding heat transfer and fluid dynamics in high-speed flows and is represented as hw = haw-qw/(ρe*ue*St) or Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number). The Adiabatic Wall Enthalpy is the total enthalpy of a gas at the wall of a hypersonic vehicle, considering the heat transfer and friction effects, The Local Heat Transfer Rate is the amount of heat transferred per unit area per unit time from the surface to the fluid in a hypersonic boundary layer, The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions, The Static Velocity is the velocity of the fluid in the boundary layer at a given point, describing the flow characteristics near the surface & The Stanton Number is a dimensionless quantity used to characterize heat transfer and frictional drag in the boundary layer of hypersonic flow.
How to calculate Enthalpy of Wall using Stanton Number?
Enthalpy of Wall using Stanton Number formula is defined as a measure of the total energy of the wall in a hypersonic flow boundary layer, which is a critical parameter in understanding heat transfer and fluid dynamics in high-speed flows 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 (haw), Local Heat Transfer Rate (qw), Static Density e), Static Velocity (ue) & 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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