Stagnation temperature
T0 = T (1 + (gamma - 1) M^2 / 2)
Thermodynamics calculator
Stagnation Temperature Calculator
Estimate total temperature from static temperature, Mach number, and heat capacity ratio.
Calculator
Enter thermal values
Select units beside each input. Results update automatically.
Result
About this calculator
How it works
Stagnation temperature is the temperature a flowing gas would reach if brought to rest adiabatically.
Formulas
Formulas used
Worked example
Example calculation
Stagnation temperature
T=288 K, M=0.8, gamma=1.4 gives 324.9 K
Guide
How to use this calculator
- Enter the known temperature, pressure, energy, humidity, or material values.
- Select units beside each input where unit menus are shown.
- Use the highlighted result for screening and verify assumptions before design use.
Reference
What the results mean
Stagnation temperature
Total temperature of the moving gas.
Mach number
Flow speed divided by local speed of sound.
Assumptions and limits
Before using the result
- Calculations use simplified ideal relations or common approximations for quick engineering checks.
- Real systems may require property tables, phase behavior, transient analysis, losses, and code or manufacturer data.
- Use verified data and qualified engineering judgement for final design or safety-critical work.
FAQ
Stagnation Temperature Calculator questions
Are these results suitable for final thermodynamic design?
Use these tools for education, screening, and early checks. Final work should use verified properties, standards, operating limits, and qualified engineering review.
Why can real thermal systems differ from these calculations?
Real systems include losses, non-ideal properties, transient behavior, two-phase effects, humidity assumptions, heat leaks, and measurement uncertainty.
Can I use different units?
Yes. Select units beside inputs where menus are shown. Values are converted internally before solving.
Related
Thermodynamics calculators
Dew Point Temperature Calculator
Estimate dew point from humidity conditions.
Enthalpy Calculator
Calculate enthalpy from internal energy and flow work.
Entropy Calculator
Calculate entropy changes.
First Law of Thermodynamics Calculator
Apply energy conservation to thermal systems.
Gibbs Free Energy Calculator
Evaluate spontaneity using Gibbs free energy.