Mach Number at Reference Temperature Calculator

✖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 [T_*]			+10% -10%
✖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%
✖Wall Temperature is the temperature at the wall.ⓘ Wall Temperature [Tw]			+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 at Reference Temperature [M]

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Formula

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Mach Number at Reference Temperature

Formula

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

Example

`"6.298384"=sqrt(("600K"/"350K"-(1+0.58*("15K"/"350K"-1)))/0.032)`

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Mach Number at Reference Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Reference temperature: 600 Kelvin --> 600 Kelvin No Conversion Required
Static Temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
Wall Temperature: 15 Kelvin --> 15 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = sqrt((T_*/T_static-(1+0.58*(Tw/T_static-1)))/0.032) --> sqrt((600/350-(1+0.58*(15/350-1)))/0.032)

Evaluating ... ...

M = 6.29838414652067

STEP 3: Convert Result to Output's Unit

6.29838414652067 --> No Conversion Required

FINAL ANSWER

6.29838414652067 ≈ 6.298384 <-- Mach Number

(Calculation completed in 00.004 seconds)

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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

Mach Number at Reference Temperature Formula

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

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 Mach Number at Reference Temperature?

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

How to calculate Mach Number at Reference Temperature using this online calculator? To use this online calculator for Mach Number at Reference Temperature, enter Reference temperature (T_*), Static Temperature (T_static) & Wall Temperature (Tw) and hit the calculate button. Here is how the Mach Number at Reference Temperature calculation can be explained with given input values -> 6.298384 = sqrt((600/350-(1+0.58*(15/350-1)))/0.032).

FAQ

What is Mach Number at Reference Temperature?

The Mach number at reference temperature formula is defined as the interrelation between static temperature, Mach number at infinite and wall temperature and is represented as M = sqrt((T_*/T_static-(1+0.58*(Tw/T_static-1)))/0.032) or Mach Number = sqrt((Reference temperature/Static Temperature-(1+0.58*(Wall Temperature/Static Temperature-1)))/0.032). 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, The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing & Wall Temperature is the temperature at the wall.

How to calculate Mach Number at Reference Temperature?

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