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Mach Number at Reference Temperature Formula

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The Mach Number is a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in the surrounding medium. Check FAQs

M = \sqrt{\frac{\frac{T ref}{T e} - 1 - 0.58 \cdot (\frac{Tw}{T e} - 1)}{0.032}}

M - Mach Number?T_ref - Reference temperature?T_e - Static Temperature?Tw - Wall Temperature?

Mach Number at Reference Temperature Example

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Here is how the Mach Number at Reference Temperature equation looks like with Values.

Here is how the Mach Number at Reference Temperature equation looks like with Units.

Here is how the Mach Number at Reference Temperature equation looks like.

2 = \sqrt{\frac{\frac{200.5}{350} - 1 - 0.58 \cdot (\frac{15}{350} - 1)}{0.032}}

2m/s = \sqrt{\frac{\frac{200.5K}{350K} - 1 - 0.58 \cdot (\frac{15K}{350K} - 1)}{0.032}}

2 = \sqrt{\frac{\frac{200.5}{350} - 1 - 0.58 \cdot (\frac{15}{350} - 1)}{0.032}}

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Mach Number at Reference Temperature Solution

Follow our step by step solution on how to calculate Mach Number at Reference Temperature?

FIRST Step Consider the formula

M = \sqrt{\frac{\frac{T ref}{T e} - 1 - 0.58 \cdot (\frac{Tw}{T e} - 1)}{0.032}}

Next Step Substitute values of Variables

∴

M = \sqrt{\frac{\frac{200.5K}{350K} - 1 - 0.58 \cdot (\frac{15K}{350K} - 1)}{0.032}}

Next Step Prepare to Evaluate

∴

M = \sqrt{\frac{\frac{200.5}{350} - 1 - 0.58 \cdot (\frac{15}{350} - 1)}{0.032}}

LAST Step Evaluate

∴

M = 2m/s

Mach Number at Reference Temperature Formula Elements

Variables

Functions

Mach Number

The Mach Number is a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in the surrounding medium.

Symbol: M

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Mach Number

Reference temperature

The Reference temperature is a specific temperature used as a baseline for analyzing thermodynamic properties in hypersonic flow scenarios, particularly for viscous flow over flat plates.

Symbol: T_ref

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Reference temperature

Static Temperature

The Static Temperature is the temperature of a fluid measured at rest, providing essential information about the thermal state in hypersonic flow scenarios.

Symbol: T_e

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Static Temperature

Wall Temperature

The Wall Temperature is the temperature at the surface of a wall in a hypersonic flow, influencing heat transfer and fluid dynamics in viscous flow cases.

Symbol: Tw

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Wall Temperature

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.

Syntax: sqrt(Number)

Other formulas in Reference Temperature Method category

Go Local Reynolds Number

Re l = {(\frac{1.328}{C f})}^{2}

Go Reynolds Number for Chord Length

Re c = ρ e \cdot u e \cdot \frac{L Chord}{μe}

Go Static Density of Plate using Chord Length for Flat Plate Case

ρ e = \frac{Re c \cdot μe}{u e \cdot L Chord}

Go Static Velocity of Plate using Chord Length for Flat Plate Case

u e = \frac{Re c \cdot μe}{ρ e \cdot L Chord}

How to Evaluate Mach Number at Reference Temperature?

Mach Number at Reference Temperature evaluator uses Mach Number = sqrt((Reference temperature/Static Temperature-1-0.58*(Wall Temperature/Static Temperature-1))/0.032) to evaluate the Mach Number, Mach Number at Reference Temperature formula is defined as a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in a fluid, used to describe the compressibility of a fluid in a specific flow regime, particularly in the context of aerodynamics and aerospace engineering. Mach Number is denoted by M symbol.

How to evaluate Mach Number at Reference Temperature using this online evaluator? To use this online evaluator for Mach Number at Reference Temperature, enter Reference temperature (T_ref), Static Temperature (T_e) & Wall Temperature (Tw) and hit the calculate button.

FAQs on Mach Number at Reference Temperature

What is the formula to find Mach Number at Reference Temperature?

The formula of Mach Number at Reference Temperature is expressed as Mach Number = sqrt((Reference temperature/Static Temperature-1-0.58*(Wall Temperature/Static Temperature-1))/0.032). Here is an example- 2 = sqrt((200.5/350-1-0.58*(15/350-1))/0.032).

How to calculate Mach Number at Reference Temperature?

With Reference temperature (T_ref), Static Temperature (T_e) & Wall Temperature (Tw) we can find Mach Number at Reference Temperature using the formula - Mach Number = sqrt((Reference temperature/Static Temperature-1-0.58*(Wall Temperature/Static Temperature-1))/0.032). This formula also uses Square Root (sqrt) function(s).

Can the Mach Number at Reference Temperature be negative?

No, the Mach Number at Reference Temperature, measured in Speed cannot be negative.

Which unit is used to measure Mach Number at Reference Temperature?

Mach Number at Reference Temperature is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mach Number at Reference Temperature can be measured.

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Mach Number at Reference Temperature Formula

Mach Number at Reference Temperature Example

Mach Number at Reference Temperature Solution

Mach Number at Reference Temperature Formula Elements

Other formulas in Reference Temperature Method category

How to Evaluate Mach Number at Reference Temperature?

FAQs on Mach Number at Reference Temperature

Variable Name