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Critical Temperature Formula

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Critical Temperature is defined as the temperature that will exist at a point when the flow becomes sonic at that point. Check FAQs

T cr = \frac{2 \cdot T 0}{γ + 1}

T_cr - Critical Temperature?T₀ - Stagnation Temperature?γ - Specific Heat Ratio?

Critical Temperature Example

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Here is how the Critical Temperature equation looks like with Values.

Here is how the Critical Temperature equation looks like with Units.

Here is how the Critical Temperature equation looks like.

250 = \frac{2 \cdot 300}{1.4 + 1}

250K = \frac{2 \cdot 300K}{1.4 + 1}

250 = \frac{2 \cdot 300}{1.4 + 1}

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Critical Temperature Solution

Follow our step by step solution on how to calculate Critical Temperature?

FIRST Step Consider the formula

T cr = \frac{2 \cdot T 0}{γ + 1}

Next Step Substitute values of Variables

∴

T cr = \frac{2 \cdot 300K}{1.4 + 1}

Next Step Prepare to Evaluate

∴

T cr = \frac{2 \cdot 300}{1.4 + 1}

LAST Step Evaluate

∴

T cr = 250K

Critical Temperature Formula Elements

Variables

Critical Temperature

Critical Temperature is defined as the temperature that will exist at a point when the flow becomes sonic at that point.

Symbol: T_cr

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Critical Temperature

Stagnation Temperature

Stagnation Temperature is defined as the temperature that would exist if the flow were slowed down isentropically to zero velocity.

Symbol: T₀

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Stagnation Temperature

Specific Heat Ratio

The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Heat Ratio

Other formulas in Governing Equations and Sound Wave category

Go Speed of Sound

a = \sqrt{γ \cdot [R-Dry-Air] \cdot T s}

Go Mach Number

M = \frac{V b}{a}

Go Mach Angle

μ = a \sin (\frac{1}{M})

Go Mayer's Formula

R = C p - C v

How to Evaluate Critical Temperature?

Critical Temperature evaluator uses Critical Temperature = (2*Stagnation Temperature)/(Specific Heat Ratio+1) to evaluate the Critical Temperature, The Critical Temperature at a point in a fluid flow is defined as the temperature that would exist if the flow became sonic at that point. Critical Temperature is denoted by T_cr symbol.

How to evaluate Critical Temperature using this online evaluator? To use this online evaluator for Critical Temperature, enter Stagnation Temperature (T₀) & Specific Heat Ratio (γ) and hit the calculate button.

FAQs on Critical Temperature

What is the formula to find Critical Temperature?

The formula of Critical Temperature is expressed as Critical Temperature = (2*Stagnation Temperature)/(Specific Heat Ratio+1). Here is an example- 248.9627 = (2*300)/(1.4+1).

How to calculate Critical Temperature?

With Stagnation Temperature (T₀) & Specific Heat Ratio (γ) we can find Critical Temperature using the formula - Critical Temperature = (2*Stagnation Temperature)/(Specific Heat Ratio+1).

Can the Critical Temperature be negative?

No, the Critical Temperature, measured in Temperature cannot be negative.

Which unit is used to measure Critical Temperature?

Critical Temperature is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Critical Temperature can be measured.

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Critical Temperature Formula

Critical Temperature Example

Critical Temperature Solution

Critical Temperature Formula Elements

Other formulas in Governing Equations and Sound Wave category

How to Evaluate Critical Temperature?

FAQs on Critical Temperature

Variable Name