missile to drive generators and hydraulic pumps, to provide power for missiles or at
the same time to provide liquid energy. In the aspect of gas control, for example,
Russian Dole missile uses air rudder to control the flight attitude of missile during
vertical launching at low altitude. All these applications are inseparable from solid
charge gas generator and working nozzle (turbine nozzle or control nozzle), which
provide power for missile energy and thrust for missile control. Among the design
elements that determine the missile energy power or missile control thrust, the gas
pressure before the nozzle is the most important. If the pipeline pressure drop is
ignored, it is the pressure of the combustion chamber of the gas generator.
Therefore, the key of this kind of gas design technology lies in the discussion of the
functional relationship between gas pressure and characteristic parameters of grain
and nozzle, and the quantitative analysis of gas pressure changes caused by the
change of characteristic parameters, which are of great significance to the development and practice of model.
9.3.1 Theoretic Derivation
9.3.1.1 Hypothesis
(1) The gas generator is a solid charge, a cylindrical retarded propellant, and a
smoke-burning end.
(2) Turbine nozzles or control nozzles are Laval-shaped expansion nozzles with
circular throats.
(3) The retarded propellant has been selected, and the physical and chemical
properties and thermodynamic properties of the propellant have been determined. The pressure index is 0.5.
(4) Nozzle outlet pressure p 0 ¼ 0:1 MPa.
(5) External atmospheric pressure p a % p e .
(6) Constant ambient temperature.
9.3.1.2 Correlation Analysis
Under the above assumptions, the following correlation analysis is made:
(1) Gas power and gas pressure: The output power of gas turbine nozzle depends
on the inlet pressure of the nozzle and the pressure ratio between the inlet and
outlet.
(2) Gas thrust and gas pressure: The output thrust of gas-controlled nozzle depends
on the ratio of inlet pressure to inlet pressure.
(3) Gas pressure and characteristic area: Gas pressure at nozzle entrance depends
on the ratio of grain area to nozzle throat area, or the ratio of characteristic area.
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