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

11 Other formulas that you can solve using the same Inputs

Exact Density Ratio
Density ratio=((Specific Heat Ratio+1)*((Mach Number*(sin(Wave angle)))^2))/((Specific Heat Ratio-1)*((Mach Number*(sin(Wave angle)))^2)+2) 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
Deflection angle
deflection angle=(2/(Specific Heat Ratio-1))*((1/Mach Number ahead of shock)-(1/Mach Number behind shock)) GO
Relation between Characteristic Mach number and Mach number
Characteristic Mach number=((Specific heat ratio+1)/((Specific heat ratio-1)+(2/(Mach Number^2))))^0.5 GO
Exact pressure ratio
pressure ratio=1+(2*Specific Heat Ratio/(Specific Heat Ratio+1))*(((Mach Number*sin(Wave angle))^2)-1) GO
Pressure ratio when Mach becomes infinite
pressure ratio=(2*Specific Heat Ratio/(Specific Heat Ratio+1))*((Mach Number*sin(Wave angle))^2) GO
Mach number
Mach Number=Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*final temp.)) GO
Speed of Sound
Speed of Sound=sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas) GO
Density ratio when Mach become infinite
Density ratio=(Specific Heat Ratio+1)/(Specific Heat Ratio-1) GO
Mach Angle
Mach Angle=asin(1/Mach Number) GO

Ratio of Stagnation and Static Temperature Formula

Stagnation to Static Temperature=1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))
To/T=1+(((γ-1)/2)*(M^2))
More formulas
Ratio of stagnation and static pressure GO
Ratio of Stagnation and Static Density GO
Critical Temperature GO
Critical Pressure GO
Critical Density GO

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 Temperature=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 Temperature=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 Temperature=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.
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