Honors thesis research on shock-wave/boundary-layer interactions (SBLI) in hypersonic scramjet inlet flow fields. Running high-fidelity CFD simulations with the MFC compressible flow solver on Brown's Oscar HPC cluster, with SLURM job management and Python post-processing pipelines. Focus on aerothermal load characterization and validation against canonical SBLI cases. Results ongoing — full write-up forthcoming upon thesis completion.
Design iterations
Iteration 1 — baseline geometry: a flat ramp and a cowl with a beveled, sharp leading edge define the captured flow passage. No ramp deflection yet, so no compression shock is generated.Iteration 2 — adding a two-angle compression ramp to converge an oblique shock train onto the cowl lip (shock-on-lip design). Dashed red box marks where the train impinges on the ramp, separating the boundary layer (SBLI) before it reattaches in the isolator.Computational domain & boundary conditions for the current (Iteration 2) geometry: mesh refined near walls and the shock/SBLI region, domain-decomposed across an Oscar SLURM batch job. "Adiabatic" wall = zero heat flux (no cooling modeled) — used here as a conservative bound on wall temperature.
Work
Featured projects
Supersonic Nozzle Optimization
Designed and optimized a converging-diverging exhaust nozzle for a Mach 1.7 civilian transport aircraft. Swept a 1,600-point parameter space across four wall profiles, maximizing cruise thrust coefficient while satisfying FAA takeoff noise constraints. Recommended Witoszynski profile at Aₑ/A* ≈ 2.74.
Developed a modeled a multi-frequency, parallel photonic signal processing architecture for high-dimensional quantum and classical communication systems. Simulating a parallel MZI array for frequency-domain modulation, enabling controlled transfer matrices across RF carriers.
Bio-inspired Antenna Sensor for Shrimp Autonomous Underwater Vehicle
A resin-printed antenna modeled after a seal vibrissae seeking to identify external vortex disturbances in the surrounding environment, while reducing vortex-induced vibrations and minimizing natural frequency disturbances.
Measured lift and drag on a finite-span wing in a subsonic wind tunnel, comparing experimental CL and CD curves against XFLR5 simulations and finite aspect ratio lifting-line theory.
Designed an aluminum structure to minimize transmissibility between vibrating base and payload across 8–45 Hz, achieving ~95% reduction in transmissibility across the target frequency range.
Modeled electrolyzer systems, pumps, compressors, and heat exchangers for specified flow rate, pressure, and temperature targets for a cost-efficient hydrogen production plant with renewable energy integration.
Hey y’all, I’m Murphy. I’m a mechanical engineering student at Brown with an electromechanical focus, drawn to the challenge of applying math and physics to solve problems across scales, from dynamic structures to micron-level photonics.
I thrive on competition, precision, and collaboration, shaped by my experience as a Division I athlete. Every project is a chance to break down complexity, test ideas under real constraints, and deliver solutions that work. In a world where technology and global priorities are evolving at record speed, I’m committed to bridging the gap between possibility and execution by designing, building, and optimizing systems that make an impact.
Murphy Paul · ENGN 1700 FPC1 · Brown University · Spring 2026
Project Overview
Measured lift and drag on a finite-span NACA wing in a subsonic wind tunnel using a two-channel strain gauge balance. Calibrated raw voltage signals to moments, converted to normal and axial forces, then resolved into lift and drag as a function of angle of attack. Results compared against XFLR5 panel-method simulations and finite aspect ratio (FAR) lifting-line theory.
Wing Geometry
Span
302 mm
Chord
127 mm
Aspect Ratio
2.375
Oswald e
0.85
Analysis Pipeline
Step
Method
Calibration
Linear fit of voltage → moment using cal.p coefficients
Force conversion
Moment arms applied to get normal (N) and axial (A) forces; A zeroed at α = 0° to remove tare drag
Lift & drag
L = N·cosα − A·sinα / D = N·sinα + A·cosα
Sign check
Axial channel sign auto-corrected if median CD is negative
FAR correction
2D XFLR5 slope corrected to finite AR: a = a₀ / (1 + a₀/πeAR)
Comparisons Made
CL and CD curves were plotted three ways: experimental wind tunnel data, XFLR5 panel method + FAR correction, and thin airfoil theory + FAR correction. A drag polar (CL vs CD) and L/D ratio vs angle of attack were also generated. Error bars on normal and axial forces reflect strain gauge signal fluctuations (std dev).
Supersonic Nozzle Optimization
Murphy Paul, Charlie Case, Carter Smith · The Area Ratio Rebels · Brown University · Spring 2026
Project Overview
Designed and optimized a converging-diverging exhaust nozzle for a Mach 1.7 civilian transport (Boom Overture class) cruising at 60,000 ft. Used quasi-1D isentropic nozzle theory to sweep a 1,600-point parameter space, balancing two competing objectives: maximizing cruise thrust coefficient CF and limiting takeoff jet velocity to meet FAA noise limits.
Design Parameters
Cruise Mach
1.7
Cruise Altitude
60,000 ft
P∞ cruise
7,170 Pa
T₀ takeoff
1,400 K
Noise limit
400 m/s
Ve at takeoff
371 m/s ✓
Optimal Ae/A*
2.74
Optimal L/rt
3.2
Four Loss Mechanisms (Iteration 2)
Loss
Penalizes
Profiles affected
Divergence — Malina correction λ=(1+cosθ)/2
Large exit angle θ
Conical only; zero for smooth profiles
Skin friction — turbulent Schlichting + Van Driest II
Witoszynski profile at Ae/A* ≈ 2.74, L/rt ≈ 3.2. Eliminates both divergence loss (zero exit slope) and the exit non-uniformity penalty (zero throat curvature, κt=0), while its shorter optimal length minimizes friction. Highest net cruise CF of all profiles tested, with takeoff noise and shock feasibility constraints satisfied.
A larger Ae/A* places a stronger normal shock deeper into the diverging section at takeoff — but the subsequent isentropic expansion to a larger exit area reduces exit velocity relative to a smaller nozzle. This counterintuitive result meant the noise and efficiency objectives pointed toward the same area ratio of ~2.74, removing what appeared to be a fundamental design conflict.
Hypersonic Scramjet Inlet Aerodynamics
Murphy Paul · Honors Thesis · Rodriguez Flow Group, Brown University · 2026–2027
Project Overview
Honors thesis investigating shock-wave/boundary-layer interactions (SBLI) in hypersonic scramjet inlet flow fields. The inlet compresses incoming flow through an oblique shock train designed to converge near the cowl lip ("shock-on-lip"), after which the flow passes through an isolator where reflected shocks and adverse pressure gradients can locally separate the boundary layer. Characterizing this SBLI behavior and the resulting aerothermal loads is central to the thesis.
Oblique shock train geometry and shock-on-lip targeting for the inlet compression ramps
SBLI characterization
Separation/reattachment behavior where shocks impinge on the developing boundary layer
Aerothermal loads
Surface heat flux and pressure loading associated with shock impingement and separation
Validation
Comparison against canonical SBLI test cases reported in the literature
Status
Research is ongoing. High-fidelity runs and validation against canonical SBLI cases are in progress on Oscar; a full write-up will follow upon thesis completion.