LCM of two numbers

Stagnation Temperature Calculator

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✖The Static Temperature is defined as the temperature measured by a thermometer placed within the fluid without affecting the fluid's velocity or pressure.ⓘ Static Temperature [T_s]			+10% -10%
✖Velocity of Fluid Flow is the distance travelled by a fluid per time.ⓘ Velocity of Fluid Flow [U_fluid]			+10% -10%
✖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.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%

✖Stagnation Temperature is defined as the temperature that would exist if the flow were slowed down isentropically to zero velocity.ⓘ Stagnation Temperature [T₀]

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Stagnation Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation Temperature = Static Temperature+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure)
T₀ = T_s+(U_fluid^2)/(2*C_p)
This formula uses 4 Variables

Variables Used

Stagnation Temperature - (Measured in Kelvin) - Stagnation Temperature is defined as the temperature that would exist if the flow were slowed down isentropically to zero velocity.
Static Temperature - (Measured in Kelvin) - The Static Temperature is defined as the temperature measured by a thermometer placed within the fluid without affecting the fluid's velocity or pressure.
Velocity of Fluid Flow - (Measured in Meter per Second) - Velocity of Fluid Flow is the distance travelled by a fluid per time.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - 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.

STEP 1: Convert Input(s) to Base Unit

Static Temperature: 296 Kelvin --> 296 Kelvin No Conversion Required
Velocity of Fluid Flow: 45.1 Meter per Second --> 45.1 Meter per Second No Conversion Required
Specific Heat Capacity at Constant Pressure: 1005 Joule per Kilogram per K --> 1005 Joule per Kilogram per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T₀ = T_s+(U_fluid^2)/(2*C_p) --> 296+(45.1^2)/(2*1005)

Evaluating ... ...

T₀ = 297.011945273632

STEP 3: Convert Result to Output's Unit

297.011945273632 Kelvin --> No Conversion Required

FINAL ANSWER

297.011945273632 ≈ 297.0119 Kelvin <-- Stagnation Temperature

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

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Stagnation Temperature Formula

LaTeX Go

Stagnation Temperature = Static Temperature+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure)
T₀ = T_s+(U_fluid^2)/(2*C_p)

What is a Stagnation Point?

In fluid dynamics, a stagnation point is a point in a flow field where the local velocity of the fluid is zero.

Why is stagnation temperature important?

The stagnation temperature is important because it is the temperature that occurs at a stagnation point on the object.

How to Calculate Stagnation Temperature?

Stagnation Temperature calculator uses Stagnation Temperature = Static Temperature+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure) to calculate 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 calculate Stagnation Temperature using this online calculator? To use this online calculator 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. Here is how the Stagnation Temperature calculation can be explained with given input values -> 297.0119 = 296+(45.1^2)/(2*1005).

FAQ

What is 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 and is represented as T₀ = T_s+(U_fluid^2)/(2*C_p) or Stagnation Temperature = Static Temperature+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure). The Static Temperature is defined as the temperature measured by a thermometer placed within the fluid without affecting the fluid's velocity or pressure, Velocity of Fluid Flow is the distance travelled by a fluid per time & 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.

How to calculate 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 is calculated using Stagnation Temperature = Static Temperature+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure). To calculate Stagnation Temperature, you need Static Temperature (T_s), Velocity of Fluid Flow (U_fluid) & Specific Heat Capacity at Constant Pressure (C_p). With our tool, you need to enter the respective value for Static Temperature, Velocity of Fluid Flow & Specific Heat Capacity at Constant Pressure 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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