Stagnation temperature

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Stagnation Temperature is the temperature at a stagnation point in a fluid flow, where all of the kinetic energy is converted into heat energy and is added to the local Static Enthalpy. See gas dynamics.

Stagnation Temperature can be derived from the Steady Flow Energy Equation. Ignoring the Work, Heat and Potential Energy terms, we have:

H = h + (V^2/(2))\,

where:

H =\, Stagnation (or Total) Enthalpy

h =\, Static Enthalpy

V =\, Velocity


Substituting for temperature, we have:

T = t + (V^2/(2Cp))\,

where:

Cp =\, Specific Heat at Constant Pressure

T =\, Stagnation (or Total) Temperature

t =\, Static Temperature


Stagnation quantities (e.g. Stagnation Temperature, Stagnation Pressure) are frequently used in jet engine performance calculations. A bimetallic thermocouple is used to measure Stagnation Temperature, but allowances for thermal radiation must be made.