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Stagnation Temperature Formula

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

T 0 = T s + \frac{{U fluid}^{2}}{2 \cdot C p}

T₀ - Stagnation Temperature?T_s - Static Temperature?U_fluid - Velocity of Fluid Flow?C_p - Specific Heat Capacity at Constant Pressure?

Stagnation Temperature Example

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

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

Here is how the Stagnation Temperature equation looks like.

297.0119 = 296 + \frac{{45.1}^{2}}{2 \cdot 1005}

297.0119K = 296K + \frac{{45.1m/s}^{2}}{2 \cdot 1005J/(kg*K)}

297.0119 = 296 + \frac{{45.1}^{2}}{2 \cdot 1005}

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Stagnation Temperature Solution

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

FIRST Step Consider the formula

T 0 = T s + \frac{{U fluid}^{2}}{2 \cdot C p}

Next Step Substitute values of Variables

∴

T 0 = 296K + \frac{{45.1m/s}^{2}}{2 \cdot 1005J/(kg*K)}

Next Step Prepare to Evaluate

∴

T 0 = 296 + \frac{{45.1}^{2}}{2 \cdot 1005}

Next Step Evaluate

∴

T 0 = 297.011945273632K

LAST Step Rounding Answer

∴

T 0 = 297.0119K

Stagnation Temperature Formula Elements

Variables

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

Static Temperature

The Static Temperature is defined as the temperature measured by a thermometer placed within the fluid without affecting the fluid's velocity or pressure.

Symbol: T_s

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Static Temperature

Velocity of Fluid Flow

Velocity of Fluid Flow is the distance travelled by a fluid per time.

Symbol: U_fluid

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Fluid Flow

Specific Heat Capacity at Constant Pressure

Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity at Constant Pressure

Other formulas in Thermodynamics and Governing Equations 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 Stagnation Temperature?

Stagnation Temperature evaluator uses Stagnation Temperature = Static Temperature+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure) to evaluate the Stagnation Temperature, Stagnation Temperature formula is defined as the temperature a fluid would reach if brought to rest isentropically. It reflects the total thermal energy of the fluid, combining its static temperature and kinetic energy contributions. Stagnation Temperature is denoted by T₀ symbol.

How to evaluate Stagnation Temperature using this online evaluator? To use this online evaluator for Stagnation Temperature, enter Static Temperature (T_s), Velocity of Fluid Flow (U_fluid) & Specific Heat Capacity at Constant Pressure (C_p) and hit the calculate button.

FAQs on Stagnation Temperature

What is the formula to find Stagnation Temperature?

The formula of Stagnation Temperature is expressed as Stagnation Temperature = Static Temperature+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure). Here is an example- 297.0119 = 296+(45.1^2)/(2*1005).

How to calculate Stagnation Temperature?

With Static Temperature (T_s), Velocity of Fluid Flow (U_fluid) & Specific Heat Capacity at Constant Pressure (C_p) we can find Stagnation Temperature using the formula - Stagnation Temperature = Static Temperature+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure).

Can the Stagnation Temperature be negative?

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

Which unit is used to measure Stagnation Temperature?

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

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Stagnation Temperature Formula

Stagnation Temperature Example

Stagnation Temperature Solution

Stagnation Temperature Formula Elements

Other formulas in Thermodynamics and Governing Equations category

How to Evaluate Stagnation Temperature?

FAQs on Stagnation Temperature

Variable Name