Small space vehicle propulsion is not only a technological challenge of scaling systems down, but also a combination of fundamental physical constraints. Several of these constraints related to small cold-gas, resistojet, and chemical thrusters are discussed in this paper. In particular, the trades of small size nozzle and reaction chamber designs are considered.
NOMENCLATUREa -sonic velocity, m/s A c h s , A cs and A e -reaction chamber surface, crosssection, and nozzle exit areas, m 2 c -effective exhaust velocity, m/ŝand d th -chamber and nozzle throat diameters respectively, m F -thrust, N h -heat transfer coefficient, W/m 2 /K H °f-enthalpy of formation, J/mol I sp -specific impulse, s I ^t -minimum impulse bit, mN-s k( T) -heat transfer coefficient, J/m 2 /K 1 L -characteristic body dimension, m l ch and l noz -reaction chamber and nozzle lengths respectively, m m -propellant mass flow rate, kg/s n -number density, number of molecules per unit volume in the gas, #_of_molecules/m 3 p a , p ch and p e -ambient, chamber, and nozzle exit pressure respectively, Pa R = 8.31441 J/mol/K -universal gas constant Q g and £)/,/ -heat generation due to exothermic chemical reaction and heat losses out of the thruster, J Q and Q hl -.rates of heat generation inside and heat loss out of the reaction chamber respectively, W r , r c and r, -radius-vector, nozzle throat and inlet radii of curvature, respectively, m Re -Reynolds number T ch -chamber temperature, K t and t p -time and pulse duration respectively, s u and u e -flow and exit (or exhaust) velocities, m/s u -mean flow velocity, m/s U -maximum flow velocity, m/s V ch -reaction chamber volume, m 3 W-thruster mass, gm x -distance from beginning of boundary-layer, m a-nozzle divergence half-angle, deg. /?-nozzle convergence half-angle, deg. Y -specific heat ratio 1 American Institute of Aeronautics and Astronautics Downloaded by Duke University on September 24, 2012 | http://arc.aiaa.org |