Reference Temperature Equation Calculator

✖The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.ⓘ Static Temperature [T_static]			+10% -10%
✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+10% -10%
✖Wall Temperature is the temperature at the wall.ⓘ Wall Temperature [Tw]			+10% -10%

✖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.ⓘ Reference Temperature Equation [T_*]

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Formula

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Reference Temperature Equation

Formula

`"T"_{"*"} = "T"_{"static"}*(1+0.032*"M"^2+0.58*("Tw"/"T"_{"static"}-1))`

Example

`"200.5K"="350K"*(1+0.032*("2")^2+0.58*("15K"/"350K"-1))`

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Reference Temperature Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1))
T_* = T_static*(1+0.032*M^2+0.58*(Tw/T_static-1))
This formula uses 4 Variables

Variables Used

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.
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.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Wall Temperature - (Measured in Kelvin) - Wall Temperature is the temperature at the wall.

STEP 1: Convert Input(s) to Base Unit

Static Temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
Mach Number: 2 --> No Conversion Required
Wall Temperature: 15 Kelvin --> 15 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_* = T_static*(1+0.032*M^2+0.58*(Tw/T_static-1)) --> 350*(1+0.032*2^2+0.58*(15/350-1))

Evaluating ... ...

T_* = 200.5

STEP 3: Convert Result to Output's Unit

200.5 Kelvin --> No Conversion Required

FINAL ANSWER

200.5 Kelvin <-- Reference temperature

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Reference Temperature Method » Reference Temperature Equation

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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

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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

Reference Temperature Equation Formula

Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1))
T_* = T_static*(1+0.032*M^2+0.58*(Tw/T_static-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 Reference Temperature Equation?

Reference Temperature Equation calculator uses Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1)) to calculate the Reference temperature, The Reference temperature equation formula is defined as the interrelation between static temperature, Mach number at infinite and wall temperature. Reference temperature is denoted by T_* symbol.

How to calculate Reference Temperature Equation using this online calculator? To use this online calculator for Reference Temperature Equation, enter Static Temperature (T_static), Mach Number (M) & Wall Temperature (Tw) and hit the calculate button. Here is how the Reference Temperature Equation calculation can be explained with given input values -> 200.5 = 350*(1+0.032*2^2+0.58*(15/350-1)).

FAQ

What is Reference Temperature Equation?

The Reference temperature equation formula is defined as the interrelation between static temperature, Mach number at infinite and wall temperature and is represented as T_* = T_static*(1+0.032*M^2+0.58*(Tw/T_static-1)) or Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1)). The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing, Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound & Wall Temperature is the temperature at the wall.

How to calculate Reference Temperature Equation?

The Reference temperature equation formula is defined as the interrelation between static temperature, Mach number at infinite and wall temperature is calculated using Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1)). To calculate Reference Temperature Equation, you need Static Temperature (T_static), Mach Number (M) & Wall Temperature (Tw). With our tool, you need to enter the respective value for Static Temperature, Mach Number & Wall Temperature 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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