- #1
Geometrian
- 2
- 0
Hi,
In a standard converging-diverging rocket nozzle, we have (ex.) the relation:[tex](1-M^2)\frac{dV}{V}=-\frac{dA}{A}[/tex]By substituting in definitions, we can obtain[tex]\left(1-\frac{V^2}{\gamma R T}\right)\frac{dV}{V} = -\frac{dA}{A}[/tex]This shows the dependence on temperature.
The relation assumes that the gas expands, accelerates, and cools in an adiabatic process. I would like to know what would happen if the temperature were instead held constant (i.e., by adding energy as the gas expands and accelerates)--but I have been utterly unable to find appropriate equations to replace the isentropic flow relations in the derivation.
What equations apply in this situation?
Ian
In a standard converging-diverging rocket nozzle, we have (ex.) the relation:[tex](1-M^2)\frac{dV}{V}=-\frac{dA}{A}[/tex]By substituting in definitions, we can obtain[tex]\left(1-\frac{V^2}{\gamma R T}\right)\frac{dV}{V} = -\frac{dA}{A}[/tex]This shows the dependence on temperature.
The relation assumes that the gas expands, accelerates, and cools in an adiabatic process. I would like to know what would happen if the temperature were instead held constant (i.e., by adding energy as the gas expands and accelerates)--but I have been utterly unable to find appropriate equations to replace the isentropic flow relations in the derivation.
What equations apply in this situation?
Ian