Wall Temperature using Reference Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wall Temperature = Static Temperature/0.588*(Reference temperature/Static Temperature-(1+0.032*Mach Number^2))+1
Tw = Tstatic/0.588*(T*/Tstatic-(1+0.032*M^2))+1
This formula uses 4 Variables
Variables Used
Wall Temperature - (Measured in Kelvin) - Wall Temperature is the temperature at the wall.
Static Temperature - (Measured in Kelvin) - The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.
Reference temperature - (Measured in Kelvin) - Reference temperature is the Temperature at which the values of the physical properties of a fluid are chosen in dimensionless equations for the heat transfer, resistance.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
STEP 1: Convert Input(s) to Base Unit
Static Temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
Reference temperature: 600 Kelvin --> 600 Kelvin No Conversion Required
Mach Number: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tw = Tstatic/0.588*(T*/Tstatic-(1+0.032*M^2))+1 --> 350/0.588*(600/350-(1+0.032*2^2))+1
Evaluating ... ...
Tw = 349.979591836735
STEP 3: Convert Result to Output's Unit
349.979591836735 Kelvin --> No Conversion Required
FINAL ANSWER
349.979591836735 349.9796 Kelvin <-- Wall Temperature
(Calculation completed in 00.020 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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Verified by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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15 Reference Temperature Method Calculators

Mach Number at Reference Temperature
Go Mach Number = sqrt((Reference temperature/Static Temperature-(1+0.58*(Wall Temperature/Static Temperature-1)))/0.032)
Wall Temperature using Reference Temperature
Go Wall Temperature = Static Temperature/0.588*(Reference temperature/Static Temperature-(1+0.032*Mach Number^2))+1
Reference Temperature Equation
Go Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1))
Static Velocity of Plate using Chord Length for Flat Plate Case
Go Static Velocity = (Reynolds number using chord length*Static Viscosity)/(Static density*Chord Length)
Static Density of Plate using Chord Length for Flat Plate Case
Go Static density = (Reynolds number using chord length*Static Viscosity)/(Static Velocity*Chord Length)
Chord Length for Flat Plate Case
Go Chord Length = (Reynolds number using chord length*Static Viscosity)/(Static Velocity*Static density)
Static Viscosity of Plate using Chord Length for Flat Plate Case
Go Static Viscosity = Static density*Static Velocity*Chord Length/Reynolds number using chord length
Reynolds Number for Chord Length
Go Reynolds number using chord length = Static density*Static Velocity*Chord Length/Static Viscosity
Stanton Number Obtained from Classical Theory
Go Stanton Number = 0.332/sqrt(Local Reynolds Number)*Prandtl Number^(-2/3)
Overall Skin-Friction Drag Coefficient
Go Overall Skin-friction Drag Coefficient = 1.328/sqrt(Reynolds number using chord length)
Overall Skin-Friction Drag Coefficient for Incompressible Flow
Go Overall Skin-friction Drag Coefficient = 0.02667/(Reynolds number using chord length)^0.139
Reynolds Number for Chord Length using Overall Skin-Friction Drag Coefficient
Go Reynolds number using chord length = (1.328/Overall Skin-friction Drag Coefficient)^2
Local Turbulent Skin-Friction Coefficient for Incompressible Flow
Go Local Skin-Friction Coefficient = 0.02296/(Local Reynolds Number^0.139)
Local Reynolds Number
Go Local Reynolds Number = (0.664^2)/Local Skin-Friction Coefficient^2
Turbulent Flat-Plate Skin-Friction Coefficient
Go Skin friction coefficient = 0.0592/(Local Reynolds Number)^0.2

Wall Temperature using Reference Temperature Formula

Wall Temperature = Static Temperature/0.588*(Reference temperature/Static Temperature-(1+0.032*Mach Number^2))+1
Tw = Tstatic/0.588*(T*/Tstatic-(1+0.032*M^2))+1

What is Reference temperature?

The heat transfer coefficient or film coefficient, or film effectiveness, in thermodynamics and in mechanics is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat.

How to Calculate Wall Temperature using Reference Temperature?

Wall Temperature using Reference Temperature calculator uses Wall Temperature = Static Temperature/0.588*(Reference temperature/Static Temperature-(1+0.032*Mach Number^2))+1 to calculate the Wall Temperature, The Wall temperature using reference temperature formula is defined as the interrelation between reference temperature, Mach number at infinite and wall temperature. Wall Temperature is denoted by Tw symbol.

How to calculate Wall Temperature using Reference Temperature using this online calculator? To use this online calculator for Wall Temperature using Reference Temperature, enter Static Temperature (Tstatic), Reference temperature (T*) & Mach Number (M) and hit the calculate button. Here is how the Wall Temperature using Reference Temperature calculation can be explained with given input values -> 349.9796 = 350/0.588*(600/350-(1+0.032*2^2))+1.

FAQ

What is Wall Temperature using Reference Temperature?
The Wall temperature using reference temperature formula is defined as the interrelation between reference temperature, Mach number at infinite and wall temperature and is represented as Tw = Tstatic/0.588*(T*/Tstatic-(1+0.032*M^2))+1 or Wall Temperature = Static Temperature/0.588*(Reference temperature/Static Temperature-(1+0.032*Mach Number^2))+1. The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing, Reference temperature is the Temperature at which the values of the physical properties of a fluid are chosen in dimensionless equations for the heat transfer, resistance & Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
How to calculate Wall Temperature using Reference Temperature?
The Wall temperature using reference temperature formula is defined as the interrelation between reference temperature, Mach number at infinite and wall temperature is calculated using Wall Temperature = Static Temperature/0.588*(Reference temperature/Static Temperature-(1+0.032*Mach Number^2))+1. To calculate Wall Temperature using Reference Temperature, you need Static Temperature (Tstatic), Reference temperature (T*) & Mach Number (M). With our tool, you need to enter the respective value for Static Temperature, Reference temperature & Mach 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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