Squid-Inspired Soft Propulsion

Support: DARPA (Young Faculty Award) · NRF Korea (Domestic Postdoctoral Fellowship)
Collaborators: Prof. M. Saad Bhamla (Georgia Tech) · Prof. Daeshik Kang (Ajou University) · Prof. Chandan Bose (University of Birmingham) · Prof. Hyungmin Park (SNU)
Publications: arXiv:2605.03239 · JFM 2022

Passive Superpropulsion

Soft robotic propulsors are constrained by onboard power and the cost of active sensing and flow control. In this work, we demonstrate a purely passive mechanism — requiring no added control hardware — that amplifies pulsed jet impulse by more than 300% relative to a rigid nozzle, confirmed independently by PIV vorticity fields, load-cell force measurements, and two-way 3D fluid–structure interaction simulations. We term this within-pulse elastic store-release mechanism superpropulsion.

Free-swimming squid (Doryteuthis opalescens)

Biological Basis: Squid Funnel Elasticity

Squid use vortex-ring pulses across nearly four orders of magnitude in body size, from pygmy bobtail to colossal squid approaching 10 m. We show the squid funnel (siphon) dilates and recoils out of phase with mantle contraction — a behavior that persists after severing active neural control, indicating a substantial passive mechanical contribution. Histology reveals a collagen-rich outer sheath threefold thicker in the funnel than in the mantle, consistent with elastic load bearing. Impulse amplification peaks when nozzle-wall wave-transit time matches jet-acceleration time (τ/T = 0.2–0.4), and in vivo squid timing falls in the same window.

Optimal nozzle compliance condition

Robot Applications and Scalability

Tuned nozzles increase peak aerial jet height by 110%, enhance inking-inspired plume dispersion by 40%, and boost jet-propelled boat speed by 41% while reducing cost of transport by 28%, at similar electrical power draw. These gains persist after 40× miniaturization and across more than 135 nozzle and application trials — possible only through the convergence of comparative biomechanics, histology, fluid mechanics, mathematical theory, soft materials, and robotics.

Performance summary: Aerial Jet, Squid Boat, Mixing

Rigid vs. flexible: 3 applications


Data-Driven Shape Optimization of Flexible Nozzle

Support: DARPA (Young Faculty Award) · NRF Korea
Collaborators: Prof. M. Saad Bhamla (Georgia Tech) · Prof. Chandan Bose (University of Birmingham)
Publications: arXiv:2605.03239 · In preparation · US 19/568,682 · US 19/568,695

Multi-Objective Nozzle Shape Optimization

Beyond material compliance, nozzle contour geometry independently governs both inlet energy and outlet impulse. The nozzle profile is parameterized by three spline control points (six design variables: axial positions \(x_1, x_2, x_3\) and radial offsets \(y_1, y_2, y_3\)). A multi-objective Bayesian optimization (MOBO) framework using Gaussian Process surrogate models (BoTorch, Matérn kernel) and log expected hypervolume improvement (qLogEHVI) acquisition iteratively identifies Pareto-optimal geometries that simultaneously maximize outlet impulse \(I\) and minimize inlet energy \(E\), with each candidate evaluated via high-fidelity OpenFOAM FSI simulation. Starting from 20 Latin Hypercube samples, batches of 5 designs are evaluated per iteration until hypervolume convergence. Rigid nozzles reach higher peak impulse (\(I/I_0 \approx 5\)) at greater energy cost; flexible nozzles achieve superior efficiency at moderate thrust — demonstrating that structural compliance fundamentally shifts the efficiency–thrust trade-off.

DARPA Rotary Propeller Thrust Optimization

The MOBO framework is extended to rotary propulsion under the DARPA Young Faculty Award program. A squid-inspired compliant nozzle sleeve fitted over a conventional rotary propeller passively reshapes the outflow in synchrony with the blade pressure cycles. Bi-objective Bayesian optimization identifies Pareto-optimal sleeve geometries that simultaneously maximize thrust and minimize input torque, with candidates evaluated experimentally via water-tank dynamometry. These demonstrations establish the viability of soft nozzle augmentation for next-generation compact underwater vehicles.

DARPA nozzle optimization: spline parameterization and Bayesian optimization convergence

Nozzle parametrization & BO convergence

Patent Portfolio

Application No. Status Title Filed
19/568,682 Filed Compliant Nozzle System and Method for Rotary Propulsion Mar. 2026 · US
19/568,695 Filed Compliant Nozzle System and Method for Fluid Jet Impulse Mar. 2026 · US

Fluid–Structure Interaction of Flexible Nozzles

Support: NRF Korea
Collaborators: Prof. Hyungmin Park (Seoul National University)
Publications: JFM 2024 · JFM 2022 · arXiv:2605.17319 · Under review

Optimal Flexibility for Thrust: Starting Jet

A flexible circular nozzle fabricated from silicone rubber fundamentally modifies the vortical structure of a starting jet and enhances thrust generation. Back-and-forth elastic wave propagation on the nozzle wall drives the augmented jet-vortex evolution. By combining hydrodynamic conservation equations with linearized shell theory, the governing equations of the coupled nozzle–jet system reduce to a dimensionless form with two key parameters: \[ \frac{1}{\Pi_0}\frac{\partial \hat{w}_y}{\partial \hat{t}} + \hat{u}\,\frac{\partial \hat{w}_n}{\partial \hat{y}} + \frac{1+\hat{w}_n}{2}\,\frac{\partial \hat{u}}{\partial \hat{y}} = 0 \] \[ \frac{1}{\Pi_0}\frac{\partial \hat{u}}{\partial \hat{t}} + \hat{u}\,\frac{\partial \hat{u}}{\partial \hat{y}} + \Pi_1\,\frac{\partial \hat{w}_n}{\partial \hat{y}} = 0 \] where \(\Pi_0 = u_m T_\text{acc}/L\) is the effective jet acceleration time and \(\Pi_1 = Eh/(2\rho_f u_m^2 R)\) is the effective nozzle stiffness. Asymptotic analysis yields the dimensionless wave speed \(\hat{c} = (\Pi_0^2\Pi_1/2)^{0.5}\), and jet momentum is maximized at the critical value \(\hat{c}_\text{crit} \simeq 3.0\). At this condition, elastic energy stored during nozzle contraction is released in synchrony with the instant of jet acceleration termination, producing the largest achievable vortex circulation and hydrodynamic impulse. This work establishes the theoretical framework for optimal nozzle flexibility that underpins the entire squid-inspired propulsion program.

PIV: rigid vs. flexible

Impulse and Entrainment Enhancement: Pulsed Jet

Extending the FSI framework from continuous to pulsed jets, we demonstrate that the same optimal flexibility criterion holds universally for pulsed operation. Vortex rings from the flexible nozzle travel faster than their rigid counterparts due to timely release of elastic energy stored during nozzle expansion. The collapsing motion of the flexible nozzle suppresses negative exit pressure in phase with jet-driven upstream wave propagation, yielding impulse increments of ~400% and entrainment increments of ~220% relative to a rigid nozzle — substantially exceeding the gains achieved with a continuous jet (200% and 50%, respectively). This universal mechanism provides a design guideline for pulsed-jet propulsors in small-scale underwater robots. (Emerging Scholar Best Paper Prize, Top 10, JFM 2025)

Pulsed jet: vortex formation

Elastic Wave Mechanism in Pulsed Jets

High-fidelity 3D FSI simulations (OpenFOAM + CalculiX coupled via preCICE) computationally confirm the elastic-wave-speed criterion derived for the starting jet: pulsed-jet impulse is maximized when \(\hat{c} = (\Pi_0^2\Pi_1/2)^{0.5} \simeq 3\), at which the nozzle contraction wave reaches the exit in synchrony with jet termination. The simulations resolve the coupled nozzle-wall deformation and vortex-ring dynamics across a wide range of nozzle stiffness and jet acceleration times — establishing elastic wave timing as the universal design criterion for compliant pulsed-jet propulsors.

3D FSI Q-criterion isosurface

preCICE FSI coupling

OpenFOAM–CalculiX FSI coupling

3D Simultaneous Measurement of Nozzle Deformation and Flow Field

To directly validate the elastic wave framework and resolve the three-dimensional nozzle–jet coupling, we developed a simultaneous volumetric measurement technique capturing both nozzle surface deformation and surrounding velocity field. A multi-camera system combines pulsed UV LED volume illumination with a CW laser sheet: B/W CCD cameras (VH-4MC) acquire volumetric particle images at up to 15 Hz, while a color CCD (VC-2MC) simultaneously records 2D PIV data — all in a glycerin-water (1:1) refractive-index-matched working fluid to eliminate optical distortion at the silicon nozzle wall. Three-dimensional particle positions are reconstructed via MART (Multiplicative Algebraic Reconstruction Technique), and nozzle surface deformation is extracted simultaneously via 3D Digital Image Correlation (DIC). These measurements directly link the elastic wave propagation on the nozzle wall to the evolving vortex-ring dynamics in the jet — providing the first simultaneous 3D characterization of FSI in a compliant pulsed-jet nozzle.

3D nozzle deformation


Interfacial Dynamics & Robotic Development

Support: NRF Korea (Sejong International Postdoctoral Fellowship)
Collaborators: Prof. M. Saad Bhamla (Georgia Tech) · Prof. Ulmar Grafe (Universiti Brunei Darussalam)
Publications: ICB 2025 · JRSI 2025 · bioRxiv · In preparation (×2)

High-Weber Interfacial Locomotion

Mudskippers are among the few fish that can move across water surfaces, using a distinctive fin-assisted "galumphing" gait that exploits surface tension, inertia, and fin thrust in concert. We investigate the interfacial hydrodynamics and 3D kinematics of mudskipper water-hopping through high-speed laboratory experiments and biological fieldwork conducted in Brunei, Borneo.

Stereo 3D Tracking in Natural Habitats

A custom stereo-camera 3D tracking system enables non-invasive pose estimation of freely-moving animals in natural mangrove habitats — the first such system deployed for mudskippers in the wild. Physical and robotic models are built to validate the discovered locomotion principles and bridge biological observation to engineering implementation.

Stereo camera 3D tracking setup in Brunei, Borneo

Stereo-camera field deployment

Cavity Collapse and Timescale Coupling

In-depth hydrodynamic analysis reveals that mudskipper water-hopping operates in the high Weber–Bond (We-Bo) regime, where inertial forces dominate over surface tension and gravity. A key finding is the timescale matching between tail-fin thrust and pectoral-fin cavity collapse: the duration of tail-fin propulsion coincides with the collapse time of the air cavity formed by the pectoral fins upon water entry, enabling efficient coupling between the two propulsive elements. Flap-displacement experiments with a physical mudskipper model directly demonstrate that cavity collapse generates measurable thrust — revealing a passive thrust mechanism that operates in concert with active fin actuation.

Mudskipper dynamics model

Amphibious Mudskipper-Inspired Robot

Guided by these biological principles, we are developing a miniaturized amphibious robotic platform capable of seamlessly switching between underwater swimming and surface hopping — replicating the mudskipper's multimodal locomotion strategy. The 60 mm prototype integrates dual propeller motors for aquatic propulsion and a fin motor for impulse-driven hopping, all coordinated by a custom 30 mm PCB embedding dual motor drivers, a gyroscope, and Bluetooth. This platform serves as a physical testbed for validating hydrodynamic principles uncovered through biological observation and physical-model experiments.

Water-Entry Splash and Insect Vortex Recapture

The Manu jump is a Māori diving technique for maximizing water-entry splash. We show that optimal splashes emerge from two control parameters: a V-shaped entry angle (~46°) and the timing of body extension underwater (normalized time 1.1–1.5), which synchronizes cavity collapse with maximum Worthington jet acceleration in the inertia-dominated regime (Fr = 1–100). Separately, epineuston vortex recapture in Microvelia americana — one of the smallest water-walking insects — reveals that hind legs re-energize counter-rotating vortices shed by middle legs, creating a virtual pressure wall that amplifies thrust. This extends the vortex recapture principle, previously documented in aerial insects, to the unique hydrodynamic environment of the water surface.

Demo of Manu jump by Halley (author)


Multiphase Flow with Vision AI & Digital Twin

Support: Samsung Electro-Mechanics · Daewoo Shipbuilding & Marine Engineering · Samsung Advanced Institute of Technology · NRF Korea
Collaborators: Prof. Hyungmin Park (Seoul National University)
Publications: Sci. Rep. 2022 · JFM 2022 · GitHub

DeepBubbleVelocimetry

Standard particle tracking velocimetry breaks down in high-density bubble flows where overlapping bubbles and void fractions above ~11% prevent reliable tracking. To address this, we developed DeepBubbleVelocimetry — the first CNN-based optical flow algorithm purpose-built for bubble-laden flows. By fine-tuning the PWC-Net architecture on synthetically generated bubble image datasets, the method tracks velocity through intensity changes across image pairs rather than individual bubbles. It outperforms conventional Lucas–Kanade and Farnebäck optical flow in accuracy, runs 5× faster, and remains accurate at void fractions up to 58% where standard PTV fails entirely.

Prediction vs. raw

Annular Dual-Nozzle Liquid Column Atomization

Building on interface diagnostics, we also studied liquid column atomization driven by an annular dual-nozzle gas jet — a configuration designed to prevent nozzle clogging by eliminating backflow through an independently controlled upper gas jet. Using PIV and high-speed imaging, we identified four distinct flow regimes governed by momentum flux ratio, nozzle angle, and liquid flow rate. Gas velocity gradients (acceleration) drive atomization onset, while droplet sizes remain determined by Rayleigh–Taylor instability wavelengths regardless of the inter-nozzle momentum ratio. Operating the upper nozzle at m₁₂ ≥ 0.067 completely suppresses backflow, enabling reliable atomization with independent jet control.

Backflow suppression (see the intact liquid column at right)

Robotic Spray Coating Digital Twin

In collaboration with Daewoo Shipbuilding & Marine Engineering, we developed a physical model and high-fidelity CFD framework targeting a digital twin for robotic spray coating of ship hulls. Primary atomization of the paint spray nozzle was resolved through ANSYS Fluent, using Volume-of-Fluid (VoF) with adaptive meshing for interface-resolved atomization and Discrete Phase Model (DPM) for droplet transport, across +30 nozzle geometries, operating pressures, and fluid viscosities, yielding spatially resolved droplet size and velocity distributions. These distributions feed a Weber-number-based film growth rate model \(\dot{h} = B_1 \cdot d_s v_s \left(\tfrac{Q}{v_s}\right)^{\!B_2} \mathit{We}_d^{B_3}\), whose empirical coefficients and spray-angle scaling were validated against experimental data, enabling predictive control of paint film thickness for automated coating processes. A separate collaboration with Samsung Advanced Institute of Technology (SAIT) examined how superhydrophobic (SHPo) surface coatings modify bluff-body wakes; the optimal SHPo condition was found to reduce recirculation length by augmenting near-separation flow fluctuations.

ANSYS Fluent: VoF + adaptive meshing (primary atomisation) · DPM (droplet transport)

Note (Daewoo Shipbuilding & Marine Engineering project) — This industry collaboration has no formal journal publication. D. Choi served as the sole research lead, independently directing all phases of the project: problem formulation, CFD modeling (ANSYS Fluent), film growth model derivation and validation, and reporting to the industrial sponsor.


Turbulent Wake

Support: NRF Korea
Collaborators: Prof. Hyungmin Park (Seoul National University)
Publications: Phys. Fluids 2018

In-Line Sphere Array Wake

Multi-body wake interactions in in-line sphere arrays (Re_D = 1000, L/D = 0–3) were investigated using 2D PIV and fluorescent dye visualization in a water tunnel. Three flow regimes emerge with center-to-center spacing: steady axisymmetric gap flow (L/D < 0.7), planar-symmetric transitional wake with elevated turbulence (0.7–1.3D), and recovered planar-symmetric vortex shedding (L/D > 1.3). Downstream spheres shelter and successively weaken upstream wakes, reducing form drag along the array. Pressure distributions — and thus drag forces on each sphere — were estimated non-intrusively by integrating the PIV velocity fields via the streamwise momentum equation, without load cells.

Multi-sphere wake: dye visualization

Multi-sphere wake summary


Clinical Device Development & Medical Testing

Support: Yonsei Severance Hospital
Collaborators: Prof. Kwangsuk Lee (Yonsei University College of Medicine)
Publications: KR 10-2020-0000288 · KR 10-2020-0064729 · KR 10-2020-0064731 · PCT/KR2020/018848

Medical device (ureter)

Urological Surgery Devices

In collaboration with Prof. Kwangsuk Lee (Yonsei University College of Medicine) and Yonsei Severance Hospital, we developed two instrumented urological surgery devices: a Foley catheter removal assessment apparatus and a hydronephrosis-induction system for ureteral access. Both devices were built from scratch — custom pressure and force sensors, analog signal-conditioning PCBs, microcontroller data acquisition, and fully waterproof enclosures with Bluetooth wireless transmission for use in the sterile surgical field. The devices were validated through clinical trials at Yonsei Severance Hospital and resulted in three granted patents and one PCT patent.

Developed Devices

UASIF Force Sensor

UASIF Force Sensor  (×2)

  • Range: 0–5 kgf  ·  1000 Hz sampling
  • Attachable to UAS sheath
  • Power / record button
  • USB charging  ·  Waterproof IP68
  • Bluetooth BLE  ·  Ergonomic housing
Hydraulic Pressure Sensor

Hydraulic Pressure Sensor  (×2)

  • High-range: 0–1 MPa  ·  Low-range: 0–1 kPa
  • 1000 Hz sampling
  • One-touch tube connection
  • Power / record button
  • USB charging  ·  Waterproof IP68
  • Bluetooth BLE  ·  Ergonomic housing
Pulsatile Flow Generator

Pulsatile Flow Generator  (×1)

  • Flow rate: 1–2 cc/s, adjustable
  • Peristaltic pump mechanism
  • Silicone hose compatible
  • Power switch
Android Monitoring App

Android Monitoring App  (×2)

  • Compatible with all Android devices
  • Bluetooth BLE sensor connection
  • Configurable threshold & alarm
    (red screen + audio alert)
  • Data export to Excel file
  • Java-based implementation
Device system diagram

Invention overview

Patent Portfolio

Patent No. Status Title Date
KR 10-2020-0000288 Granted Apparatus for determining removal of Foley catheter Jan. 2020
KR 10-2020-0064729 Granted System for reducing ureteral insertion pressure by artificially triggering hydronephrosis — measurement of pressure associated with UAS insertion for RIRS May 2020
KR 10-2020-0064731 Granted System for reducing ureteral entry pressure by generating vibrations in the guide wire for UAS insertion for RIRS May 2020
PCT/KR2020/018848 PCT Apparatus for determining removal of Foley catheter Dec. 2020