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R. Meyer J. Köhler A. Homburg Explosives

R. Meyer J. Köhler A. Homburg Explosives

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Thermodynamic Calculation of Decomposition Reactions<br />

322<br />

rocket (half the mass V square root of the velocity); the W Specific<br />

Impulse (mass V velocity) can be calculated according to the following<br />

equation (the same as shown on p. 293):<br />

Is = öäääääää 2J (Hc–He) Newton seconds per kilogramm<br />

or<br />

Isfroz = 92.507 öääää Hc–He<br />

J: mechanical heat equivalent<br />

unit:<br />

Isfroz: specific impulse for frozen equilibrium Ns/kg<br />

Hc: enthalpy of the burnt gases in the chamber kcal/kg<br />

He: enthalpy of the gases at the nozzle exit kcal/kg<br />

Tc: gas temperature in the chamber K<br />

Te: gas temperature at the nozzle<br />

exit with frozen equilibrium K<br />

The computer program also allows calculations for shifting (not frozen)<br />

equilibria by stepwise iteration operations.<br />

The following parameters can also be calculated with computer facilities:<br />

chamber temperature (adiabatic flame temperature);<br />

temperature of exit gas with frozen equilibrium;<br />

composition of exit gas with shifting equilibrium;<br />

temperature of the burnt gases in the chamber and at<br />

the nozzle exit;<br />

average molecular weight, of the burnt gases in the<br />

chamber and at the nozzle exit;<br />

total mole number of the burnt gases in the chamber<br />

and at the nozzle exit;<br />

specific impulse at frozen and with shifting equilibrium;<br />

ratio of specific heats cp/cv;<br />

An example for the calculation of a double bases rocket propellant:<br />

Composition:<br />

nitrocellulose 52.15% (13.25% N)<br />

nitroglycerine 43.54%<br />

diethylphthalate 3.29%<br />

Centralit I 1.02%<br />

sum formula for 1 kg propellant: C19.25H25.96O36.99N10.76<br />

chamber pressure: 7.0 MPa (1015 p.s.i.)

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