This document provides an introduction to solid rocket motors and hybrid rocket motors. It discusses the components and operation of solid rocket motors, including the types of solid propellants used, how thrust is controlled by grain configuration, ignition methods, and nozzle designs. It also covers scaling of solid rocket motors, engine cutoff methods, and some advantages and disadvantages of hybrid rocket motors that use a solid fuel and liquid oxidizer.

1. Introduction to Astronautics Sissejuhatus kosmonautikasse Vladislav Pust õnski 2009 Tallinn University of Technology

2. Solid & hybrid propellant rockets Solid propellant rocket motors (SRM) are the first type of the rocket motors in history. Initially they were a barrels (made from paper or, later, steel) with gunpowder. Nowadays SRMs have evolved into quite sophisticated and effective rocket engines. That happened thanks to enormous progress in chemistry and physics of combustion, to development of new effective solid propellants and to technological advances. The main advantages of SRM: high thrust; high reliability and low cost; simple to change thrust profile; simple to handle and to hold; simple to develop and to scale. However, they also have certain disadvantages : relatively low specific impulse (compared to liquid propellants); relatively short working time; relatively low thrust-to-weight ratio; difficult to control inflight; need advanced technology to produce effective engines. Solid propellant rockets

3. Propellants A SRM consists of a casing which serves as a wall of the thrust chamber, and a charge of solid propellant inside (called grain ). A nozzle is attached to the low part of the casing, and some other mechanisms may be included, like an ignitor, a gimbal of the nozzle, small attitude control motors, in the case of multiple use engines, a parachuting system etc. Large SRMs may consist of several sections joined together. For example, the Solid Rocket Booster (SRB) of the Space Shuttle consists of 4 sections, the strap-on boosters of the Titans were multi-sectional as well. The grain may have different shapes. Its outer shape generally repeats the shape of the casing, the internal surface is the exposed area over which the grain burns. There are many possible configurations of the exposed area. Generally, there is a bore along the axis of the motor, the section of this bore (often variable) defines the thrust as function of time. Large SRMs usually have a cylindrical form, smaller ones may be even spherical. Casings of SRMs often have metal walls. They should be firm enough to withstand the internal pressure of the burning charge, and for large motors the required thickness of the wall may be quite large. For example, the casing of the Shuttle ’s SRB is made from steel and its minimum thickness is more than 1 cm. Titanium avails somehow lighter casings designs. However, even titanium casings tend to be heavy, so modern casings are often filament-wound, either Kevlar or graphite fibers in epoxy matrix. The Shuttle’s upper stage IUS is Kevlar fiber reinforced. The first stage of the future European Vega launch vehicle should be made from filament-wound graphite fibers in an epoxy matrix, and this design may be later applied on the SRBs of the Ariane V . SRMs mostly burn monopropellant mixtures containing different chemicals, among which are

4. Burning and thrust control When the motor is ignited, burning of the propellant begins. Burning takes place over the exposed area of the propellant, which is usually a shaped bore along the axis of the motor. Actually it is an exothermal deflagration process, when new layers of the propellant react in presence of high temperature and pressure. Propellant regression rate r is the distance the burning front recedes in unit time perpendicular to the exposed surface. An empirical expression for the burning velocity is fuel and oxidizer. Some SRMs burn gunpowder based on nitrocellulose or nitroglycerin where both fuel and oxidizer are present in one molecule. A common fuel used in SRM is aluminum powder, and oxidizer is ammonium perchlorate NH 4 -ClO 4 and ammonium nitrate NH 4 -KNO 3 . Binding agent is also present, that is some polymer, together with catalyst and epoxy curing agents. During the production process, the propellant have a clay-like texture, it is poured into the casing and later hardens as a result of polymerization. The propellant should fulfill certain requirements. It should be stable and not react by itself. Its physical properties should not change significantly with temperature, it should not form cracks due to thermal expansion or under loads. It is critical that the propellant were firm: since burning takes place inside the mass of the propellant, it should withstand the pressure of gases and not to break or crumble. P is the pressure in the chamber (in bar ) r 0 is the regression rate at t = 20 0 C and P = 1 bar , B and n are constants depending on the propellant. The value of B usually lies in the range 300 0 C – 600 0 C. The burning process

5. should be stable. It means that if the pressure in the chamber experiences a small growth, the resultant excessive flow of gases through the nozzle should lead to pressure drop, and vice versa: if the pressure diminishes slightly, the outflow from the nozzle should drop so that the pressure returns to the initial value. Analysis shows that burning may be stable only if n < 1. However, even smaller values of n are desirable, since if n is close to 1, the pressure in the chamber becomes very sensitive to this value, and it is technologically difficult to ensure predictable properties of the propellant because of the small tolerances. Larger is the area of the burning surface, higher is the thrust (but burning time decreases). Changing the shape of the internal core, it is possible to change the thrust profile. For example, a circular core would mean that the diameter of the bore increases while burning, so the area and the thrust grow as well. A star-shape core is often used since it enables to keep the thrust at a nearly constant level. The burning area recedes, but the surface remains constant. However, different variations of the stellar design enable to program the profile in a wide range of parameters: the profile of the surface evolution depends on the shape of the points of the star. For example, the 11-point star design in the forward segment of the Shuttle SRB develops high thrust at the first 65 seconds of flight, but the points burn away by that time, and the thrust temporarily diminishes. The bore configuration is not necessarily constant along the motor: it may change, for instance, from a star on one end to a cylinder on the other end. This adds more flexibility to the thrust programming. There are even more ways to control the thrust profile by the configuration of the inner bores in the case of multi-sectional SRMs, like that of the Shuttle : each section may have different configuration. On the Shuttle SRBs , the central and the aft segments have a double-truncated cone bores, which helps to match the thrust profile to the mission needs. Although the thrust profile is relatively simply programmable, it is hardly controllable,

6. since it is difficult to alter the thrust of a burning SRM. So if a rocket has more than one SRM booster, it is very important to provide equivalence of the thrust profiles of all SRMs, specially if their thrust is large (which is a usual thing). If the thrust of one SRM differs from that of the other(s), the control system may be incapable to compensate the unbalance, and a dangerous situation would develop. This is the reason why production process of identical SRMs should be extensively controlled to avoid possible sources of difference between items. The pressure inside the bore changes along the channel: it is the smallest near the nozzle and the highest at the sealed end of the bore. Since the regression rate is directly related to the local pressure, the grain burns quicker near the sealed end. However, this effect is equilibrated by erosive burning – the effect of raising of the regression rate in presence of high-velocity gas flow along the burning surface. Near the nozzle the gas has the highest velocity, so the erosive burning effect is maximal, and this favors uniform burning along the bore. Generally, in the optimal case the grain should be depleted simultaneously along the bore, so that the flame touched the casing simultaneously. That would diminish thermal loads on the casing and unused residuals of unburned propellant. However, some residuals (known as slivers ) are unavoidable for certain grain configurations like stars. Diminishing these residuals is important to increase the mass ratio and thus, the characteristic velocity. The amount of slivers is about 1% or less with modern designs; in the places where slivers may form the propellant may be replaced by some low-density material to increase the mass ratio. Burning of the grain may be accompanied by instabilities of different types. Instabilities manifest themselves as high-frequency pressure oscillations in the thrust chamber, that are reflected on the thrust. The frequencies are close to acoustic frequencies inside the bore. Radial and tangential oscillations are more probable to appear than axial ones. These pressure oscillations may destroy the grain and the casing. To dampen the instabilities, different

7. Ignition To ignite a solid rocket motor, it is necessary to simultaneously raise the temperature of the exposed area and the pressure inside the bore to the level that ensures normal burning. For this, electric ignitors are used coupled with special pyrotechnic devices. Upon receiving electric signals, pyrotechnics (which usually is placed near the sealed end of the grain) are quickly ignited and saturate the bore with hot gases at high pressure. The amount of Nozzle and casing thermal protection The nozzle is subject to hot gases from the thrust chamber and thus a strong incident heat flow exists, specially in the throat. Unlike liquid-propellant engines, active cooling methods (regenerative & film cooling) are not available for SRMs in the general case because of the absence of liquid coolant. So only passive cooling methods may be applied, primarily the ablative cooling , i.e. heat sink by evaporation of layers of special material called ablation . Nozzles from refractory materials are applied in parallel with the ablation. However, passive cooling methods do not permit the nozzle to withstand high heat flows for a long time. This limits working times of SRMs: they cannot work so long as liquid-propellant engines with regeneratively cooled thrust chambers & nozzles. In some cases film cooling using an external source of liquid is possible. The inner side of the casing is also covered with ablative materials or thermal insulation to protect it from heat when the propellant is nearly depleted and the flame touches the wall. methods are applied. These are: introduction of tube resonators into the chamber, drilling holes or making cavities in the grain, etc.

8. Nozzle constructions and thrust vector control There are several typical constructions of nozzles of SRMs. Among them are: 1) fixed nozzle – the most simple design; 2) movable nozzle – a nozzle that may slightly change its direction so that the thrust vector diverges for steering purposes, like on the Shuttle SRB ; 3) submerged nozzle – a part of the nozzle sunk inside the casing, thus the total length of the SRM is shorter (often applied on silo- or submarine-based ICBMs, i.e. the Trident , where length is important); 4) extendable nozzle (extendable exit cone, EEC) – a nozzle the extension of which slides from the stored position in order to increase the expansion ratio, like on the Shuttle IUS . Movable nozzles are used on single-motor stages in order to provide steering in the yaw and the pitch channel (steering in the roll channel should be provided in other way; however, if there are two or more SRMs with vectoring nozzles on a launch vehicle, steering in all channels is provided). They are also used on rockets with powerful strap-on boosters where the liquid-propellant engine has not enough thrust for effective steering – this is the case of the Shuttle and the Ariane V . Such nozzles are typically (partially) submerged. For vectoring, pyrotechnics should by significant for large SRMs. For instance, about 25 kg of pyrotechnics are used to ignite the boosters of Ariane V . For ignition of very large SRMs, a small rocket motor may be applied (situated inside or outside the bore). When started, this motor provides a supply of hot gases which ignite the grain.

9. Engine c ut-off and restart a flexible sealed joint is used or a bearing with two actuators 90 0 apart to ensure motion in two planes. On the Shuttle SRB , hydraulic actuators are used, the mechanical power is provided by special units which decompose hydrazine in gas generators and the gases drive turbopumps. Steering is possible without vectoring the nozzle as well: jet vanes may be used, or injection of gas or liquid into the jet, etc. To avoid complications related to these methods, single-engine solid stages are often spin-stabilized, like the Shuttle’s Payload Assist Module (PAM) upper stage). Extendable nozzles are used in the upper stages. In the stored position the motor is compact (this may be important for the overall length and weight of the launch vehicle: smaller interstages are needed). After separation, the nozzle is extended so that the expansion ratio significantly increases. For instance, in the Shuttle IUS the extendable part consists of two sections; when they are set in the operating position, the expansion ration increases from 49.3 to 181, so the specific impulse grows by 14 sec . There is a popular misconception that SRMs cannot be cut of and that they burn until the propellant depletion. It is not so: SRM not only may be cut off, but sometimes should be cut off. This is the case, for example, of a launch vehicle solid stage that have provided its payload with a required velocity and should be cut off before separation (in order not to collide with the payload). The thrust of the SRM should be diminished quickly. There is a number of methods to cut off a SRM. One of the most reliable methods is

10. Scaling quick opening of holes in the casing (using pyrotechnical devices), so that the area of the holes were larger than that of the throat. The pressure in the thrust chamber will instantly drop and the burning will cease. These holes may be oriented in reverse direction and additional small nozzles may be applied, so that the opposite thrust will appear, facilitating separation and withdrawing the stage. Other methods include secession of the nozzle extension from the SRM (by pyros); injection of extinguishing liquid or gas into the chamber; etc. The above-mentioned methods do not permit a restart of the SRM. The problem of the restart remains mostly unsolved for practical applications, although some tested methods exist. An example is a multi-sectional charge with the sections separated by insulators. Each section burns until depletion, and the next section is ignited by its own ignitor after removal of the insulator. However, such methods increase the cost and decrease the efficiency of the SRM. This is the reason why the use of re-ignitable SRMs is quite limited. One of the greatest advantages of SRMs is that larger motors may be built by scaling of smaller motors. This permits to develop very large motors at a moderate cost. The behavior of a large motor may be studied in detail on small and cheap models. When a large version is built, it should be studied mainly for the issues of instabilities (which cannot be reproduced on a smaller model), other issues would need only minor improvements. The Shuttle SRB is an example: having the highest thrust among all rocket motors used in space (about 2 times higher than that of the F-1 liquid-propellant engine), this multi-sectional SRM was developed relying on the experience of the Titan strap-on boosters, and only 4 static firings of full-scaled motors were sufficient to man-rate the motor (a typical liquid-propellant engine is fired

11. Hybrid propellant rockets hundreds of times before it may be installed on a launch vehicle). Unfortunately, so far no methods exist for scaling of liquid-propellant engines, so their cost grows very quickly with the size. Hybrid propellant rocket motors combine properties of solid rocket motors and liquid propellant motors. They apply a propellant mixture consisting of solid fuel and liquid oxidizer. Such design has some advantages. The main advantages of hybrid propellants: higher specific impulse than that of SRMs; higher density than that of liquid propellants; are simple to throttle; are simple to restart; are more safe to produce and to handle, since both components may be treated separately; However, they also have certain disadvantages : specific impulse lower than that of liquid propellants; lower density than that of solid propellants; more complex and more expensive to produce than solid SRMs, at least at large scale; unproven feasibility at large scale.

12. As it is seen, hybrid motors may be applied where throttling and restart capabilities are required, as well as it is necessary to store the propellant for a long time. Due to their higher I sp , they may excel SRMs. A common propellant for hybrid motors are Hydroxil-Terminated Polybutadiene ( HTPB , synthetic rubber) or Acronitrile Butadiene Styrene (ABS) as fuel and LOX or nitrous oxide (N 2 O) as oxidizer. Pressure-fed designs for oxidizer supply are most popular, although supply with a turbopump is also considered in some proposed designs. Since the fuel regression rate in hybrid motors is several times lower than is SRMs, multiple perforations in the fuel grain are required to produce high thrust, so that the oxidizer could effectively mix with the fuel. Since the solid should be vaporized before combustion could occur, the fuel regression speed is related to the coupling aerodynamics of the bore and the heat transfer process to the exposed surface of the grain. When the grain burns, the configuration of the exposed surface and of the bores change, an the mixing process is altered as well. So, the mixture ratio appears to be time function. At the end of the burning process, the size of the bores becomes so large that the oxidizer cannot fully mix with the fuel and is blown through the chamber. Thus, the mixture tends to become oxidizer-rich towards the end of the burning process, and the specific impulse diminishes. In general, it may be said that the disadvantages of hybrid motors compared to solid motors (more complex and less reliable design, problems with the mixture ratio) have been higher so far than their advantages ( throttability & restartability, safer handling). When trottability & restartability are important, a liquid-propellant engine could often provide better results due to its higher performance ( I sp ) and controllability. This is the reason why hybrid motors have not been used yet in space applications, except for the SpaceShipOne suborbital plane.

13. End of the Lecture 10

14. Main components of a Solid Rocket Motor (By source )

15. Shapes of Solid Rocket Motors GEM 40 SRB, used on Delta II (By source ) Central bore inside SRM (By source ) Small sperical SRM (By source )

16. Control of the thrust profile Star with constant thrust profile. Successive burning contours are shown, each a fixed time apart. Lengths of the conours are roughly the same (within ~15%), so is the thust (By G.P.Sutton, O.Biblarz, Rocket propulsion elements.) Cylindrical bore (upper) provides growing thrust. A star with narrow points provides high thrust until the points burn out, when the thrust decreases for a while, and grows slowly again (By J.D.Anderson, Introduction to flight.)

17. Example Shuttle SRB thrust profile (By source ) Shuttle SRB thrust profile

18. Thermal protection of the nozzle of a SRM Heat sink wall pieces and graphite throat inserts are applied to protect the nozzle from high temperatures, erosion & oxidation. High conductivity direction of the pyrolitic washers or discs is perpendicular to the nozzle axis. ( By G.P.Sutton, O.Biblarz, Rocket propulsion elements. )

19. Principle types of nozzles of SRMs (By G.P.Sutton, O.Biblarz, Rocket propulsion elements.)

20. Shuttle Inertial Upper Stage (IUS) Extendable nozzle construction is visible ( By G.P.Sutton, O.Biblarz, Rocket propulsion elements. )

21. The SpaceShipOne hybrid rocket The SpaceShipOne schematic design (By source ) The SpaceShipOne in flight (By source )