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 = Ts+(Ufluid^2)/(2*Cp)
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 = Ts+(Ufluid^2)/(2*Cp) --> 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 00.008 seconds)

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Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Speed of Sound
​ Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)
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Mach Angle
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Stagnation Temperature Formula

​Go
Stagnation Temperature = Static Temperature+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure)
T0 = Ts+(Ufluid^2)/(2*Cp)

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 a measure of the temperature of a fluid when it is brought to rest isentropically. It reflects the total thermal energy available in the fluid due to its motion and thermal state. 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 (Ts), Velocity of Fluid Flow (Ufluid) & Specific Heat Capacity at Constant Pressure (Cp) 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 a measure of the temperature of a fluid when it is brought to rest isentropically. It reflects the total thermal energy available in the fluid due to its motion and thermal state and is represented as T0 = Ts+(Ufluid^2)/(2*Cp) 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 a measure of the temperature of a fluid when it is brought to rest isentropically. It reflects the total thermal energy available in the fluid due to its motion and thermal state 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 (Ts), Velocity of Fluid Flow (Ufluid) & Specific Heat Capacity at Constant Pressure (Cp). 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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