Flow Physics - Stagnation Properties
Stagnation properties are important reference data that allow the comparison between different flows through a nozzle. Using the perfect gas law below, stagnation properties can be found from the ratios of specific heats and the Mach number of the flow.
\[{c_p} = {a^2}\frac{1}{{K - 1}}\]
\[\frac{{{T_0}}}{T} = 1 + \frac{{k - 1}}{2}M{a^2}\]
\[\frac{{{P_0}}}{P} = {(1 + \frac{{k - 1}}{2}M{a^2})^{k/(k - 1)}}\]
\[\frac{{{\rho _0}}}{\rho } = {(1 + \frac{{k - 1}}{2}M{a^2})^{1/(k - 1)}}\]
Stagnation properties are important because they give information about the flow during sonic conditions (Mach number = 1.0). Any flow property at the sonic condition is known as a critical condition. These values can be found through the equations found below. These are useful equations in creating the design criteria of a nozzle.
\[\frac{{{T_*}}}{{{T_0}}} = (\frac{2}{{k + 1}})\]
\[\frac{{{P_*}}}{{{P_0}}} = {(\frac{2}{{k + 1}})^{k/(k - 1)}}\]
\[\frac{{{\rho _*}}}{{{\rho _0}}} = {(\frac{2}{{k + 1}})^{1/(k - 1)}}\]
\[{c_p} = {a^2}\frac{1}{{K - 1}}\]
\[\frac{{{T_0}}}{T} = 1 + \frac{{k - 1}}{2}M{a^2}\]
\[\frac{{{P_0}}}{P} = {(1 + \frac{{k - 1}}{2}M{a^2})^{k/(k - 1)}}\]
\[\frac{{{\rho _0}}}{\rho } = {(1 + \frac{{k - 1}}{2}M{a^2})^{1/(k - 1)}}\]
Stagnation properties are important because they give information about the flow during sonic conditions (Mach number = 1.0). Any flow property at the sonic condition is known as a critical condition. These values can be found through the equations found below. These are useful equations in creating the design criteria of a nozzle.
\[\frac{{{T_*}}}{{{T_0}}} = (\frac{2}{{k + 1}})\]
\[\frac{{{P_*}}}{{{P_0}}} = {(\frac{2}{{k + 1}})^{k/(k - 1)}}\]
\[\frac{{{\rho _*}}}{{{\rho _0}}} = {(\frac{2}{{k + 1}})^{1/(k - 1)}}\]
JL