Appendix A: Thermal Boundary Conditions and Simulation Parameters
The thermal boundary conditions applied in the CAD simulation environment represent simplified conceptual design assumptions intended to approximate the thermal environment experienced by supersonic aircraft structures during cruise. These boundary conditions were used to support subsystem hazard identification and insulation design evaluation, rather than to provide detailed aerodynamic heating predictions.
Table A1.
Thermal boundary conditions and simulation parameters.
Table A1.
Thermal boundary conditions and simulation parameters.
| Parameter |
Value |
Description |
| Cruise Mach number |
1.65 |
Representative supersonic cruise condition for the SA-24 Phoenix aircraft |
| Cruise altitude |
50,000 ft |
Typical operational altitude for supersonic transport |
| Estimated skin temperature |
110–130 °C |
External fuselage temperature due to aerodynamic heating |
| Fuel type |
Jet-A aviation fuel |
Standard aviation turbine fuel is used in the thermal model |
| Fuel initial temperature |
15–20 °C |
Nominal fuel tank starting temperature |
| Fuel density |
~804 kg/m3
|
Typical density of Jet-A fuel |
| Average mesh element size |
5 mm |
Finite element mesh resolution used in the thermal model |
| Mesh type |
Tetrahedral mesh |
Used for complex geometry representation |
| Convergence criterion |
Residual error <1% |
Numerical convergence threshold for simulation stability |
| Simulation environment |
Computer-Aided Three-Dimensional Interactive Application (CATIA) |
Thermal analysis performed within a CAD environment |
Appendix B: Geometric Tolerance Stack-Up Analysis
CAD models used during conceptual aircraft designs typically assume idealized geometric configurations. However, real aircraft structures are subject to manufacturing tolerances that may introduce small variations in the subsystem placement and component spacing.
To evaluate the influence of geometric uncertainty on the thermal safety margins predicted in this study, a simplified tolerance stack-up analysis was conducted. The analysis considers geometric variations of ±0.5 mm in the placement of structural components surrounding the fuel tank assembly.
These tolerance variations were applied to the CAD model to evaluate potential changes in the subsystem spacing and the resulting thermal exposure conditions. The resulting thermal margins were then compared with the baseline simulation results presented in
Section 5.2.
Table A2.
Impact of geometric tolerances on thermal safety margin.
Table A2.
Impact of geometric tolerances on thermal safety margin.
| Geometric variation |
Minimum subsystem clearance (mm) |
Estimated thermal margin |
Relative change |
| Nominal CAD geometry |
15 |
100% baseline margin |
— |
| −0.5 mm tolerance variation |
14.5 |
97% margin |
−3% |
| +0.5 mm tolerance variation |
15.5 |
103% margin |
+3% |
The tolerance stack-up analysis indicated that moderate geometric variations within typical aerospace manufacturing tolerances have only a minor influence on predicted thermal safety margins. Therefore, the results suggest that the hazard identification outcomes obtained using the conceptual CAD model remain robust with respect to small geometric deviations that may occur during manufacturing.
Appendix C: Fuel Tank CAD Models
CAD models serve as critical visual references to understand their integration into the ZSA framework. The segmentation of fuel tanks and their placement across the aircraft aligns with the objectives of the IRP to analyze the early-stage hazard potential through CAD and MBSE. For example, wing-tank segmentation mitigates risks such as fuel sloshing and CG imbalances. The use of multiple compartments enhances system redundancy, in accordance with the safety requirements stipulated in CS-25. The proximity of tanks to engines ensures operational efficiency and facilitates hazard mitigation strategies for scenarios, such as pump failure or fuel leakage.
By leveraging these models, this research effectively validated safety protocols, optimized tank design, and contributed to the development of a robust fuel system for supersonic aircraft.
Figure A1.
Top view of wing fuel tanks.
Figure A1.
Top view of wing fuel tanks.
Figure A2.
Forward fuselage fuel tank.
Figure A2.
Forward fuselage fuel tank.
Figure A3.
Rear fuselage fuel tank.
Figure A3.
Rear fuselage fuel tank.
Appendix D: SA-24 Group Design Project
The SA-24 Phoenix Group Design Project is a comprehensive aerospace design initiative involving a multidisciplinary team of MSc Aerospace Vehicle Design students at Cranfield University. The project was segmented into several streams, with specific tasks assigned to students based on their specialization. Herein, an overview of the team structure and key contributions are provided.
Project overview: The SA-24 Phoenix was conceptualized as a low-drag, low-boom supersonic transport aircraft capable of carrying 50 passengers over 4,500 nautical miles at speeds of up to Mach 1.8. The project focused on optimizing the aerodynamic efficiency, safety, and regulatory compliance, aligning with the EASA CS-25 standards. The team was divided into three primary groups: Structures group (focus: airframe structures, including wings, fuselage, and tailplane; systems group (focus: aircraft performance, fuel systems, power plant performance, ECS, and ice protection systems (IPS); avionics group (focus: Advanced avionics systems such as flight control, autopilot, and cockpit displays).
Appendix E: FTA
The FTA diagrams presented in this appendix illustrate the logical relationships between subsystem failure events associated with the aircraft fuel system architecture. To support the quantitative interpretation of these fault trees, representative component failure probabilities were assigned based on the reliability data reported in aerospace reliability handbooks, including MIL-HDBK-217. These failure rates provide an approximate basis for evaluating the likelihood of key hazard pathways identified in the hazard analysis.
Table A3.
Representative component failure rates used in the fault tree analysis.
Table A3.
Representative component failure rates used in the fault tree analysis.
| Component |
Failure mode |
Failure rate (failures per hour) |
Source |
| Fuel pump |
Mechanical failure |
1.5×10−5
|
MIL-HDBK-217 |
| Fuel transfer valve |
Valve actuation failure |
2.0×10−5
|
MIL-HDBK-217 |
| Fuel quantity sensor |
Sensor signal failure |
3.0×10−5
|
MIL-HDBK-217 |
| Fuel control electronics |
Signal processing failure |
1.0×10−5
|
MIL-HDBK-217 |
In addition to independent-component failures, common-cause failures can occur when redundant system components are affected by shared environmental conditions or system-level disturbances. To account for this effect, a simplified beta-factor model was used to estimate the probability of simultaneous failure of multiple redundant components could due to a shared failure mechanism.
Table A4.
Example beta-factor analysis for redundant fuel system components.
Table A4.
Example beta-factor analysis for redundant fuel system components.
| Component pair |
Independent failure probability |
Beta factor |
Common cause failure probability |
| Redundant fuel pumps |
1.5×10−5
|
0.05 |
7.5×10−7
|
| Dual fuel sensors |
3.0×10−5
|
0.04 |
1.2×10−6
|
| Redundant control units |
1.0×10−5
|
0.03 |
3.0×10−7
|
The beta-factor analysis indicated that the probability of simultaneous failure due to cause effects remained significantly lower than the independent failure probability of individual components. These results support the assumption that redundancy within the fuel system architecture reduces the likelihood of critical system failure events.
Figure A4.
FTA diagram for no fuel to all engines.
Figure A4.
FTA diagram for no fuel to all engines.
The FTA diagram, with no fuel to all engines, highlights the potential failure pathways that could lead to a complete loss of fuel supply to the engines, a catastrophic event in aviation. The top event cascades into three primary failure pathways: main pipeline blockage, fuel exhaustion, and fuel pump failure. Each of these pathways is further broken down into root causes, such as clogged fuel filters, pipeline ruptures, ice formation, fuel management errors, undiscovered leaks, mechanical wear, and electrical failures. These failure modes are particularly significant in the context of supersonic aircrafts, where high-speed operation introduces unique stresses on fuel systems.
From a ZSA perspective, the diagram underscores the critical zones within the fuel system that require a rigorous evaluation. For example, pipeline blockages caused by ice formation can be addressed through thermal simulations in CAD tools, whereas MBSE models can simulate failure scenarios to validate the performance of venting and deicing systems. Similarly, fuel pump failures, whether mechanical or electrical, can be mitigated by testing redundancy strategies, such as dual pumps or backup power sources within the MBSE framework. By linking these tools, this study demonstrated how hazard pathways can be iteratively visualized, analyzed, and resolved, ensuring both reliability and regulatory compliance.
Figure A5.
FTA diagram for CG control failure.
Figure A5.
FTA diagram for CG control failure.
The second FTA diagram (
Figure A5), CG control failure, delves into issues arising from improper management of the CG of the aircraft. CG management is critical in supersonic flight to maintain aerodynamic stability and ensure safe operation. The top event in this scenario is linked to three primary causes: fuel transfer system failure, fuel imbalance, and fuel sensor failure. Each of these causes cascades into root-level issues, such as shut-off valve failures, transfer pump malfunctions, pipeline blockages, transfer sequence errors, and sensor or data transmission failures.
This diagram illustrates the importance of robust subsystem integration, as failures in fuel transfer systems directly affect CG stability. For instance, pipeline failures between the front and rear tanks or between wing tanks can disrupt fuel distribution, leading to imbalances. CAD tools can optimize the design and placement of pipelines to minimize the stress points, whereas MBSE simulations can help test the responsiveness of transfer systems under various flight conditions. Additionally, sensor failures, such as inaccurate fuel quantity readings or data transmission errors, can be addressed by validating the sensor placement and network redundancy through integrated digital twins.
Both diagrams align with the broader objectives of this project by emphasizing the need for early hazard detection and zonal safety assessments in complex aerospace systems. The diagrams highlight the manner in which advanced design methodologies enable a proactive approach to mitigate risks and reduce the likelihood of catastrophic failure. By incorporating FTA into the ZSA framework, this research demonstrates how CAD and MBSE tools can collaboratively improve subsystem design, optimize interactions, and ensure compliance with stringent safety standards, such as EASA CS-25.
In conclusion, the FTA diagrams provide a structured representation of critical failure scenarios within the SA-24 Phoenix fuel and CG management systems. They serve as a foundation for integrating CAD and MBSE workflows, enabling iterative design improvements, and enhancing safety outcomes. These analyses reinforce the significance of IRP in advancing aerospace safety engineering and establishing a benchmark for future supersonic aircraft designs.
Appendix F: FMEA
The FMEA table is a critical tool for systematically identifying and mitigating potential hazards in the SA-24 Phoenix fuel tank system, aligning directly with the integration of the CAD and MBSE for ZSA. It evaluates failure modes across key components, such as fuel pipelines, pumps, and sensors, detailing the causes, effects, and prioritized risks using the RPN. This prioritization ensures that critical issues, such as pipeline ruptures or pump failures, are addressed early in the design phase.
By integrating CAD and MBSE, the FMEA enables the precise modeling and simulation of hazards. For example, CAD tools refine pipeline designs to reduce blockages, whereas MBSE simulates dynamic scenarios, such as CG imbalances or pump failures, to validate redundancy strategies. These tools ensure iterative design improvements and early hazard detection, reduce expensive late-stage changes, and enhance system reliability.
The FMEA supports compliance with the EASA CS-25 standards by documenting hazards and their mitigation, ensuring that SA-24 meets airworthiness requirements. This structured approach improves the design efficiency, reduces risks, and demonstrates the value of integrating advanced tools for aerospace safety engineering.
Table A5.
Results of the failure modes and effects analysis (FMEA).
Table A5.
Results of the failure modes and effects analysis (FMEA).
| Component |
Failure mode |
Failure cause |
Failure effect |
Severity (S) |
Occurrence (O) |
Detection (D) |
Risk priority number (RPN) |
Recommended action |
| Fuel pipeline |
Blockage (e.g., ice formation) |
Low temperature at high altitude |
Loss of fuel supply to engines |
9 |
4 |
6 |
216 |
Add thermal insulation and anti-icing systems; optimize venting pathways using CAD. |
| Rupture |
Structural fatigue or improper joints |
Fuel leakage, fire hazard |
10 |
3 |
5 |
150 |
Use reinforced materials (e.g., titanium alloys); conduct fatigue testing via MBSE. |
| Fuel pumps |
Mechanical failure (e.g., bearing wear) |
Wear and tear, poor maintenance |
Reduced or no fuel delivery to engines |
8 |
5 |
4 |
160 |
Include redundant pump systems; schedule preventive maintenance using digital twins. |
| Electrical failure |
Power loss or motor malfunction |
Complete pump failure |
9 |
4 |
5 |
180 |
Integrate backup power supply; improve electrical circuit redundancy through simulations. |
| Fuel tanks |
Over-pressurisation |
Faulty venting system |
Tank deformation or rupture |
10 |
2 |
6 |
120 |
Implement dual venting systems; install pressure sensors validated via CAD simulations. |
| Vaporization |
Aerodynamic heating |
Pressure build-up and potential ignition |
9 |
3 |
6 |
162 |
Apply heat shields and advanced insulation materials; validate via thermal analysis in CAD. |
| Fuel quantity indication system (FQIS) |
Sensor failure |
Calibration errors or component fault |
Incorrect fuel level data, operational inefficiency |
7 |
5 |
4 |
140 |
Enhance sensor design; validate placement and interactions with MBSE models. |
| Transfer valves |
Failure to open/close |
Actuator fault or debris |
Inability to transfer fuel, CG imbalance |
8 |
4 |
5 |
160 |
Regular valve testing; use debris-resistant designs and reliable actuators. |
| Fuel management system |
Software error |
Algorithm flaws or human input errors |
Incorrect fuel distribution |
7 |
3 |
5 |
105 |
Improve fuel management algorithms; validate through MBSE-based digital twins. |
| Data transmission system |
Communication failure |
Network issues or hardware failure |
Delay in fuel system data updates |
6 |
4 |
4 |
96 |
Introduce redundant communication networks; test system interactions in MBSE. |
Appendix G: FHA
The FHA of the SA-24 Phoenix fuel tank system helped identify and mitigate potential functional failures critical to aircraft safety. Failures, such as inadequate fuel delivery, over-pressurization, and CG imbalances, are classified by severity, with catastrophic hazards, such as engine flameout or tank rupture, requiring immediate mitigation through redundancy, improved materials, and robust designs. CAD optimizes the spatial configuration of components, whereas MBSE simulates failure scenarios to validate system resilience.
For fuel delivery, failures, such as pump malfunctions or blocked pipelines, can disrupt operations. CAD ensures efficient pipeline routing, whereas MBSE tests redundant strategies, such as dual pumps. Pressure regulation failures, such as vent blockages, were mitigated through redundant systems and validated via simulations. CG imbalances from transfer pump failures or valve malfunctions were addressed using redundancy and design optimization. Monitoring issues, such as sensor inaccuracy and delayed alerts, were resolved through CAD-based placement validation and MBSE simulation of communication networks.
The FHA prioritizes risks based on severity and provides actionable insights into proactive hazard mitigation. By integrating the CAD and MBSE workflows, the IRP ensured early hazard detection, regulatory compliance, and enhanced reliability of the SA-24 Phoenix fuel system. This approach strengthens aircraft safety, while demonstrating the capabilities of advanced aerospace design methodologies.
Table A6.
SA-24 aircraft FHA.
Table A6.
SA-24 aircraft FHA.
| Function |
Failure mode |
Hazard description |
Severity |
Classification |
Recommended mitigation |
| Fuel delivery to engines |
Inadequate fuel flow |
Loss of engine power, leading to potential engine flameout |
Catastrophic |
Major (Class I) |
Add redundant fuel pumps; optimize flow pathways using CAD |
| Excessive fuel delivery |
Over-pressurisation of engines, potential fire risk |
Hazardous |
Major (Class II) |
Install flow regulators and pressure sensors validated via MBSE |
| Interrupted fuel supply |
Engine surges or shutdown |
Major |
Major (Class II) |
Integrate dual fuel delivery lines; conduct fault simulations |
| Pressure regulation |
Vent blockage |
Tank over-pressurization leading to structural rupture |
Catastrophic |
Major (Class I) |
Implement redundant venting systems; validate designs through CAD |
| Pressure sensor failure |
Undetected pressure build-up |
Hazardous |
Major (Class II) |
Use redundant sensors and validate placement through MBSE |
| Fuel transfer system |
Transfer pump failure |
Imbalance in CG causing control issues |
Hazardous |
Major (Class II) |
Introduce redundant pumps; simulate failure scenarios with MBSE |
| Valve failure |
Unregulated fuel transfer or blockage |
Major |
Major (Class II) |
Optimize valve design and placement through CAD |
| Monitoring and sensors |
Sensor inaccuracy |
Incorrect fuel level readings, affecting CG management |
Hazardous |
Major (Class II) |
Validate sensor placement using CAD; improve software algorithms |
| Data transmission failure |
Delayed hazard alerts |
Minor |
Minor (Class III) |
Use redundant communication networks validated through MBSE |
Appendix H: EASA CS-25 Fuel System Airworthiness Requirements
To ensure that the fuel system of the SA-24 Phoenix meets the stringent airworthiness standards required for supersonic operations, a detailed understanding of the EASA CS-25 Certification Specifications is crucial. These requirements govern the design, operation, maintenance, and safety across the lifecycle of the aircraft. Below is an expanded and detailed table of requirements tailored to this research focus.
Table A7.
EASA CS-25 fuel system airworthiness requirements.
Table A7.
EASA CS-25 fuel system airworthiness requirements.
| CS-25 reference |
Requirement |
Relevance to supersonic aircraft design |
Application to SA-24 Phoenix |
| CS 25.943 |
Fuel system lines and fittings |
Ensure lines and fittings are designed to prevent leaks under all operating conditions. |
Use of advanced seals and composite pipelines to handle high thermal stresses |
| CS 25.951 |
General requirements |
The fuel system must supply sufficient fuel flow and pressure for all operating conditions. |
Dual pump systems ensure consistent flow during rapid altitude changes |
| CS 25.952 |
Fuel system independence |
Systems must operate independently, avoiding complete system failure. |
Redundant pumps and valves mitigate single-point failures during supersonic cruise |
| CS 25.953 |
Fuel system failure protection |
Prevent hazards resulting from failure modes, such as leaks or blockages. |
Zonal Safety Analysis (ZSA) identifies failure points, enabling proactive design changes |
| CS 25.954 |
Fuel system lightning protection |
Systems must resist ignition caused by lightning strikes. |
Non-conductive coatings and flame arrestors applied to vent lines and pipelines |
| CS 25.959 |
Fuel tank venting |
Aerodynamic heating during supersonic flight can cause fuel expansion and pressure increase inside the tanks. |
Redundant vent paths and blockage monitoring ensure adequate venting capability and pressure control |
| CS 25.963 |
Fuel tank sealing |
Thermal expansion and structural vibration at supersonic speeds increase sealing requirements. |
Dual sealing interfaces and leak detection sensors minimize leakage and improve fault detection |
| CS 25.975 |
Fuel tank venting system requirements |
Proper venting is critical in supersonic aircraft where fuel heating can cause vapor pressure buildup. |
Redundant fuel tank venting systems prevent excessive pressure accumulation inside tanks |
| CS 25.979 |
Pressure testing |
Fuel tanks must withstand maximum pressures without deformation or failure. |
Tanks are pressure-tested to handle supersonic thermal and pressure differentials |
| CS 25.981 |
Fuel tank ignition prevention |
Ensure no ignition sources exist within the fuel tank, including electrical faults. |
Shielded wiring and isolated electrical components reduce ignition risk |
Appendix I: Project Plan Dates
Table A8.
Project plan dates.
Table A8.
Project plan dates.
| Task |
Start date |
End date |
| Literature Review |
10/10/2024 |
05/11/2024 |
| System Definition and Data Collection |
06/11/2024 |
20/11/2024 |
| CAD Modelling of Fuel Tank System |
21/11/2024 |
10/12/2024 |
| MBSE Workflow Development |
11/12/2024 |
30/12/2024 |
| Integration of CAD and MBSE |
02/01/2025 |
08/01/2025 |
| Zonal Safety Analysis (ZSA) |
09/01/2025 |
15/01/2025 |
| Case Study |
16/01/2025 |
20/01/2025 |
| Technical Report Drafting |
21/01/2025 |
23/01/2025 |
| Final Review and Submission |
23/01/2025 |
24/01/2025 |
Appendix J: Ethical Approval Certificate