:. Projects
:. Asteroseismology
:. Dark Matter Galaxies
:. EPR
:. Gravitophotons
:. Hybrid Rocket Engine
:. Pulse-Ram Induction

:. Sections:
:. Disclaimer
:. Purpose
:. Theory
:. References

:. Components:
:. Combustion Chamber
:. CDN Nozzle
:. Gasoline Tank
:. Injector System
:. Internal Structure
:. Launch Control
:. Pressure Manifold
:. Pressure Tank
:. Propellants
:. Solid Fuel and Ignition
:. T-stoff Tanks
:. --

:. Data:
:. CFD CDN01
:. FEA Combustion Chamber
:. FEA F-02
:. FEA F-03
:. FEA F-04
:. FEA F-05
:. FEA F-06
:. FEA F-07
:. FEA T-stoff Flange
:. Pressure Tank Test

:. Feedback:
:. thegraben@gmail.com

:. Sponsors
:. The Graben


Side view of the model injector manifold


Oxidizer Injectors:


The primary purpose of the injector system is to atomize the oxidizer, t-stoff, and direct it toward the solid fuel grains. The manifold must be designed such that the oxidizer is distributed evenly and at a rate that will feed the combustion process without saturating the solid fuel granules. In most systems the injectors usually take the form of a perforated disk that sits at the head of the combustion chamber. Fabricating a typical injector can be challenging and expensive, so a simpler design will be employed.


Typical injector system


Injector System Construction:

For simplicity, the injectors will be constructed mainly from CA 360 brass, typical brass fittings found in a hardware store, with brass nozzle heads to atomize the t-stoff. The injector system will consist of an array of 6 oxidizer injectors and 1 gasoline injector. The 6 oxidizer injectors will be orientated such that a solid cone of atomized t-stoff will be directed outward toward the solid propellant.


Injector assembly model


Bottom of injector assembly



Prototype injector stem array


Free Machining Brass, CA-360, UNS C36000

Physical Properties

Metric

English

Comments


Density

8.49 g/cc

0.307 lb/in³

at 20°C (68°F) 


Mechanical Properties


Tensile Strength, Ultimate

338 - 469 MPa

49000 - 68000 psi

Tensile Strength, Yield

124 - 310 MPa

18000 - 45000 psi

depending on temper

Elongation at Break

53 %

53 %

in 457.2 mm

Modulus of Elasticity

97 GPa

14100 ksi

Poisson's Ratio

0.31

0.31

calculated

Shear Modulus

37 GPa

5370 ksi

 


Thermal Properties


CTE, linear 250 °C

20.5 µm/m-°C

11.4 µin/in-°F

from 20-300°C (68-570°F)

Thermal Conductivity

115 W/m-K

798 BTU-in/hr-ft²-°F

at 20°C (68°F)

Melting Point

885 - 900 °C

1630 - 1650 °F

 


Nozzle Heads:


When choosing a nozzle head there are a few parameters that should be considered. First is the flow rate of the nozzle and operating pressure. To maintain combustion in the chamber the oxidizer must be injected into the combustion chamber at a rate that will promote combustion. This flow rate can either be calculated or determined experimentally. If calculated, the nozzle head can be chosen directly from specification tables for a given operating pressure. If the nozzle head is to be determined experimentally, then one that supports a wide range of flow rates for a reasonable range of operating pressures should be chosen. The nozzle flow rate will be directly affected by pressure, the specific gravity of the liquid, and viscosity of the liquid. The flow rate can be calculated as using the operating pressure and specific gravity as:



As seen above the flow rate will be dictated by the system operation pressure. So, unless a specific system pressure is required, in most cases the flow rate through the chosen nozzle will dictate the system operating pressure. The viscosity of the liquid should also be considered, because generally the higher the viscosity the lower the flow rate through the nozzle. Viscosity will also affect the pray pattern and quality. Below is a general chart of parameters and effects seen on those parameters by changing specific parameters.

Pressure Increase
Specific Gravity Increase
Viscosity
Increase
Temperature Increase
Surface Tension Increase
Spray pattern quality
Improves
Negligible effect
Deteriorates
Improves
Negligible effect
Flow rate
Increases
Decreases
Flat spray decreases, Hollow and Solid cone increases
Depends on nozzle type
No effect
Spray angle
Increases
Negligible effect
Decreases
Increases
Decreases
Droplet size
Decreases
Negligible effect
Increases
Decreases
Increases
Velocity
Increases
Decreases
Decreases
Increases
Negligible effect
Impact
Increases
Negligible effect
Decreases
Increases
Negligible effect
Wear
Increases
Negligible effect
Decreases
Depends on nozzle type
No effect

The second parameter that should be considered is the spray pattern. Typically the minimum pressure required to generate a fully developed spray pattern is between 10 - 14 psi. There are many types of spray patterns and angles, most manufacturers split them up into 3 general categories: the flat spray, hollow cone, and solid cone. The flat spray typically sprays in a narrow elliptical or rectangular shape, the hollow cone has a spray pattern that resembles a ring, and the solid cone sprays a solid circular or square pattern. most manufacturers will allow you to choose the spray angle, this determines the spray width at some distance away from the nozzle. At close proximity to the nozzle the spray width is equal to the theoretical spray width, but further away the droplets are affected by gravity and friction thus reducing the spray angle. Liquids more viscous than water will typically form smaller spray angles and liquids with a lower surface tension than water will increase the spray angle.


Spray angle and spray width.


Spray Type
Spray Pattern
Flat Spray:

A narrow elliptical or rectangle shaped spray pattern.
Hollow Cone:

A ring shaped spray pattern.
Solid Cone:

A circular or nearly square spray pattern.

The third parameter that should be considered is the droplet size. Everything mentioned above will influence the degree of atomization. Typically atomization is caused by the liquid being broken up due to the collapse of unstable fluid sheets, jets or ligaments, or by the shearing action of air. There are a number of ways commonly used to atomize a liquid such as pressure atomization, air atomization, centrifugal atomization, electrostatic atomization, and ultrasonic atomization.

Pressure atomization or airless atomization occurs when high pressures force a fluid through a small orifice. As the liquid flows through the nozzle, the energy from the fluid pressure is converted into momentum and as soon as the liquid emerges from the nozzle, the friction between the atmosphere and liquid causes the liquid to separate into droplets. The atmospheric friction must provide enough resistance to overcome the liquid's surface tension, viscosity, and density for atomization to occur. Also, for this atomization scheme the orifice diameter, atmosphere, and relative velocity between the liquid and atmosphere all have an effect on the droplet size and quality of atomization.

In air atomization the fluid flows through a nozzle at a lower velocity than that required for pressure atomization. At the nozzle tip, high velocity air is injected into the liquid stream to disrupt and accelerate the liquid. The pressure of the air provides the energy required to atomize the liquid. As with pressure atomization, the relative velocity between the fluid and air causes atomization.

Centrifugal atomization requires a nozzle that has a spinning disc. The centrifugal acceleration created by the rotating disc forces the liquid to the edge of the disc where it forms ligaments or sheets of liquid. These ligaments and sheets then break apart into droplets due to the friction between the liquid and atmosphere. The rotational speed of the disc and the flow rate of the liquid affect the droplet size and quality of atomization.

Electrostatic atomization exposes a liquid to an intense electric field where the atomizer is charged and the target object being sprayed is grounded. The electric field is used to charge the liquid, once the liquid has the same charge as the atomizer the repulsive forces cause the liquid to tear from the atomizer and flow toward the grounded object. So, in this scheme the electric field strength, liquid flow rate, and the liquid's physical and electrical properties all affect the droplet size and quality of atomization.

The last atomization process is ultrasonic atomization. This process uses an electromechanical device that vibrates at a high frequency. As the liquid passes over the vibrating surface it breaks up into droplets. This scheme is not typically used because it is only effective for low viscosity newtonian fluids.

For this design, and most other rocket designs, pressure atomization is the primary process used in the injector system. Of course, all the processes mentioned above can be used to produce a broad range of droplet sizes which are typically split into the following categories:

Category
Typical Size (Microns)
Fog
1 - 30
Mist
30 - 100
Drizzle
100 - 300
Light rain
300 - 1000
Heavy rain
1000 - 5000

The larger droplets will tend to occur as the nozzle capacity increases. The quality of atomization will tend to increase as the pressure increases for a given nozzle, in general it varies as the -0.3 power of pressure. it should be noted that at high pressures, further increases in pressure will have a negligible effect on atomization. As viscosity increases the degree of atomization decreases to the point where atomization of the liquid is unattainable. liquids with a high surface tension will also tend to be difficult to atomize due to the reduction in energy available to break up the liquid.

The last parameter that should be considered is the material the nozzle is made from. Since the nozzle will be inside the combustion chamber, it must be able to withstand the temperatures and pressures within the chamber without failing. Typically manufacturers offer a variety of materials to choose from and will even custom make a nozzle if necessary.


Injector Tubes:


The six oxidizer nipples, or T-stoff Injector Tubes (TITs), were constructed from CA-360 Brass tubing meeting ASTM B16/16M specifications. We could not find any pre threaded brass tubing the size that we needed, so we had to buy nipples and thread them by hand. The outer diameter of the tubing dictated the number of thread sizes we could use, so using the machinist handbook for screws threads we decided to thread the TITs using M10 x 1.0 threads instead of using 1/8 in. NPT. The tubing was threaded between 1 and 1.5 inches on each end of the nipple to allow enough room for a wrench to grip. Below are photos of the threading process and the finished TITs.


Threading the injector tubes.


T-stoff tank attachment.


Final tube assembly


Nozzle Head and Adaptors:

The nozzle heads were ordered from a company that specializes in high pressure, high temperature nozzles. Due to space limitations could not use their nozzle adaptors, so we machined some adaptors out of T6-6061 Aluminum Hex rod. The hex rod was used so we could easily tighten the adaptors with a wrench or ratchet.


Top of the combustion chamber.


Nozzle heads on aluminum round rod.


Aluminum hex rod cut for the adaptors.

Aluminum hex rod adaptors on the injector tubes.

Another view of the hex rod adaptors.

Final injector assembly.


T6-6061 Aluminum Alloy

Physical Properties

Metric

English

Comments


Density

2.7 g/cc

0.0975 lb/in³

 


Mechanical Properties


Hardness, Brinell

95

95

AA; Typical; 500 g load; 10 mm ball

Hardness, Knoop

120

120

 Converted from Brinell hardness.

Hardness, Rockwell A (B)

40 (60)

40 (60)

 Converted from Brinell hardness.

Hardness, Vickers
107
107
Converted from Brinell hardness.

Tensile Strength, Ultimate

310 MPa

45000 psi

AA; Typical

Tensile Strength, Yield

276 MPa

40000 psi

AA; Typical

Elongation at Break

12 %

12 %

AA; Typical; 1/16 in. (1.6 mm) Thickness

Modulus of Elasticity

68.9 GPa

10000 ksi

AA; Typical; Average of tension and compression. Compression modulus is about 2% greater than tensile modulus.

Poisson's Ratio

0.33

0.33

Estimated from trends in similar Al alloys

Fatigue Strength

96.5 MPa

14000 psi

  completely reversed stress; RR Moore machine/specimen

Shear Modulus

26 GPa

3770 ksi

 Estimated from similar Al alloys

Shear Strength

207 MPa

30000 psi

AA; Typical


Thermal Properties


CTE, linear 68 °C

23.6 µm/m-°C

13.1 µin/in-°F

AA; Typical; Average over 68-212°F range.

CTE, linear 250°C

25.2 µm/m-°C

14 µin/in-°F

Average over the range 20-300ºC

Specific Heat Capacity

0.896 J/g-°C

0.214 BTU/lb-°F

 

Thermal Conductivity

167 W/m-K

1160 BTU-in/hr-ft²-°F

AA; Typical at 77°F

Melting Point

582-651.7 °C

1080-1205 °F

AA; Typical range based on typical composition for wrought products 1/4 inch thickness or greater