Stagnation temperature
In thermodynamics and fluid mechanics, stagnation temperature is the temperature at a stagnation point in a fluid flow. At a stagnation point the speed of the fluid is zero and all of the kinetic energy has been converted to internal energy and is added to the local static enthalpy. In incompressible fluid flow, and in compressible flow, the stagnation temperature is equal to the total temperature at all points on the streamline leading to the stagnation point. See gas dynamics.
Stagnation temperature can be derived from the First Law of Thermodynamics. Applying the Steady Flow Energy Equation and ignoring the work, heat and gravitational potential energy terms, we have:
where:
Substituting for enthalpy by assuming a constant specific heat capacity at constant pressure () we have:
or
where:
Strictly speaking, enthalpy is a function of both temperature and density. However, invoking the common assumption of a calorically perfect gas, enthalpy can be converted directly into temperature as given above, which enables one to define a stagnation temperature in terms of the more fundamental property, stagnation enthalpy.
Stagnation properties (e.g. stagnation temperature, stagnation pressure) are useful in jet engine performance calculations. In engine operations, stagnation temperature is often called total air temperature. A bimetallic thermocouple is often used to measure stagnation temperature, but allowances for thermal radiation must be made.
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