Rocket Engines
Michal Czerwien
                                        25.10.2012r
   * Introduction
  ”A rocket engine, or simply ”rocket”, is a jet engine that uses only stored propellant
mass for forming its high speed propulsive jet.”
    Rocket engines are reaction engines and obtain thrust in accordance with Newton’s third
law (if one object A exerts a force FA on a second object B, then B simultaneously exerts a
force FB on A, and the two forces are equal and opposite: FA = −FB ).
   Combustion Chamber
    Rocket propellant is mass that is stored,
usually in some form of propellant tank, prior
to being ejected from a rocket engine in the
form of a fluid jet to produce thrust.
    Chemical rocket propellants are most
commonly used, which undergo exothermic
chemical reactions which produce hot gas
which is used by a rocket for propulsive pur-
poses. Alternatively, a chemically inert reac-
tion mass can be heated using a high-energy
power source via a heat exchanger, and then
no combustion chamber is used.                       Figure 1:   An image representing the rocket Motor
    The dimensions of the cylinder are such that the propellant is able to combust thoroughly;
different propellants require different combustion chamber sizes for this to occur. This leads
to a number called L∗ :
   L∗ =   Vc
          At
   where:
  I) Vc is the volume of the chamber
 II) At is the area of the throat
III) L* is typically in the range of 25-60 inches (0.64-1.5 m).
                                                 1
    Net thrust
    Below is an approximate equation for calculating the net thrust of a rocket engine:
    Fn = ṁ ve = ṁ ve−act + Ae (pe − pamb )
    Since, unlike a jet engine, a conventional rocket motor lacks an air intake, there is no ’ram
drag’ to deduct from the gross thrust. Consequently the net thrust of a rocket motor is equal
to the gross thrust (apart from static back pressure).
    Energy Efficiency
                                                                     Rocket engine nozzles are surprisingly ef-
                                                                ficient heat engines for generating a high
                                                                speed jet, as a consequence of the high
                                                                combustion temperature and high compres-
                                                                sion ratio. Rocket nozzles give an excel-
                                                                lent approximation to adiabatic expansion
                                                                which is a reversible process, and hence they
                                                                give efficiencies which are very close to that
                                                                of the Carnot cycle.Given the temperatures
                                                                reached, over 60 precent efficiency can be
                                                                achieved with chemical rockets.
Figure 2:     Rocket energy efficiency as a function of vehi-
cle speed divided by effective exhaust speed
    Specyfic Impulse
   The specific impulse that can be achieved is primarily a function of the propellant mix, but
practical limits on chamber pressures and the nozzle expansion ratios reduce the performance
that can be achieved.
    Typical performances of common propellants
         Propellant mix                   Vacuum Isp(seconds)              Effective exhaust velocity(m/s)
           liquid oxygen                         455                                     4462
      liquid oxygen (RP-1)                       358                                     3510
        nitrogen tetroxide                       344                                     3369
    Overall rocket engine performance
    Rocket technology can combine very high thrust (meganewtons), very high exhaust speeds
(around 10 times the speed of sound in air at sea level) and very high thrust/weight ratios
(around 100) simultaneously as well as being able to operate outside the atmosphere, and
while permitting the use of low pressure and hence lightweight tanks and structure.
    Rockets can be further optimised to even more extreme performance along one or more of
these axes at the expense of the others.
                                                            2
      Bibliography
  .) http://en.wikipedia.org/wiki/Rockete ngine
.) http://www.howstuffworks.com/rocket.htm
.) http://www.space.com/15099-apollo-moon-rocket-engine-recovery-infographic.html
  access to pages above 25.10.2012r