Credits

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has verified this Calculator and 200+ more calculators!

Ratio of Stagnation and Static Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))
To/T = 1+(((γ-1)/2)*(M^2))
This formula uses 2 Variables
Variables Used
Specific Heat Ratio- The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume
Mach Number- Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound
STEP 1: Convert Input(s) to Base Unit
Specific Heat Ratio: 1.6 --> No Conversion Required
Mach Number: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
To/T = 1+(((γ-1)/2)*(M^2)) --> 1+(((1.6-1)/2)*(1^2))
Evaluating ... ...
To/T = 1.3
STEP 3: Convert Result to Output's Unit
1.3 --> No Conversion Required
FINAL ANSWER
1.3 <-- Stagnation to Static Temperature
(Calculation completed in 00.001 seconds)

6 Basic Compressible Flow Calculators

Critical Pressure
sonic_pressure = (2/(Specific heat ratio+1))^(Specific heat ratio/(Specific heat ratio-1))*(Stagnation pressure at a point in fluid flow) Go
Ratio of stagnation and static pressure
stagnation_to_static_pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1)) Go
Ratio of Stagnation and Static Density
stagnation_to_static_density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1)) Go
Critical Density
sonic_density = Stagnation density*(2/(Specific heat ratio+1))^(1/(Specific heat ratio-1)) Go
Ratio of Stagnation and Static Temperature
stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) Go
Critical Temperature
sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature) Go

Ratio of Stagnation and Static Temperature Formula

stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))
To/T = 1+(((γ-1)/2)*(M^2))

Why is Stagnation Temperature important?

Stagnation or Total air temperature is an essential input to an air data computer in order to enable computation of static air temperature and hence true airspeed.

How to Calculate Ratio of Stagnation and Static Temperature?

Ratio of Stagnation and Static Temperature calculator uses stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) to calculate the Stagnation to Static Temperature, The Ratio of Stagnation and Static Temperature depends upon the Mach number and ratio of specific heats. Stagnation to Static Temperature and is denoted by To/T symbol.

How to calculate Ratio of Stagnation and Static Temperature using this online calculator? To use this online calculator for Ratio of Stagnation and Static Temperature, enter Specific Heat Ratio (γ) and Mach Number (M) and hit the calculate button. Here is how the Ratio of Stagnation and Static Temperature calculation can be explained with given input values -> 1.3 = 1+(((1.6-1)/2)*(1^2)).

FAQ

What is Ratio of Stagnation and Static Temperature?
The Ratio of Stagnation and Static Temperature depends upon the Mach number and ratio of specific heats and is represented as To/T = 1+(((γ-1)/2)*(M^2)) or stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)). The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume and Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
How to calculate Ratio of Stagnation and Static Temperature?
The Ratio of Stagnation and Static Temperature depends upon the Mach number and ratio of specific heats is calculated using stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)). To calculate Ratio of Stagnation and Static Temperature, you need Specific Heat Ratio (γ) and Mach Number (M). With our tool, you need to enter the respective value for Specific Heat Ratio and Mach Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Stagnation to Static Temperature?
In this formula, Stagnation to Static Temperature uses Specific Heat Ratio and Mach Number. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))
  • stagnation_to_static_density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1))
  • stagnation_to_static_pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1))
  • sonic_density = Stagnation density*(2/(Specific heat ratio+1))^(1/(Specific heat ratio-1))
  • sonic_pressure = (2/(Specific heat ratio+1))^(Specific heat ratio/(Specific heat ratio-1))*(Stagnation pressure at a point in fluid flow)
  • sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature)
Where is the Ratio of Stagnation and Static Temperature calculator used?
Among many, Ratio of Stagnation and Static Temperature calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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