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Gotoda Lab
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A lab that uses mathematics to unravel the complex dynamics of combustion and turbulence.
AboutAbout the lab
Reading the complexity of combustion through the lens of mathematics.
The Gotoda Lab studies reacting flows, in which flow, heat and mass diffusion, and chemical reactions interact with one another, with the aim of understanding and modeling their complex nonlinear dynamics.
From the perspective of complex systems mathematics, the lab also aims to put its findings to engineering use, including the development of detection and active control systems.
Through this research, the lab hopes to contribute to creating mechanical systems in new areas of the environment and energy fields.
Key terms
- Reacting flows
- Fluid systems in which flow, heat and mass diffusion, and chemical reactions interact with one another.
- Combustion oscillations
- Strong pressure fluctuations in a combustor. They can lead to cracks in combustor walls or melting of injector walls.
- Precursor detection
- A method for catching early signs of a problem before it fully occurs.
- Turbulence
- A flow state in which the motion is irregular and disordered. Its frictional drag is larger than that of laminar flow at the same Reynolds number.
NewsLab news
A co-authored paper on optimal control of spatiotemporal patterns has been accepted by Physical Review E
Research on a rocket engine combustor has been accepted by Proceedings of the Combustion Institute
Research on a dual-swirl combustor has been accepted by Proceedings of the Combustion Institute
A master's student received the Outstanding Presentation Award at the 63rd National Heat Transfer Symposium of Japan
Collaborative research on Reynolds number effects in wall turbulence has been published in Physical Review Research
ResearchResearch themes
This lab investigates the complex behavior of reacting flows, in which flow, heat, and chemical reactions are intertwined, from the perspective of complex systems mathematics. Besides combustion oscillations, its listed themes include abnormal ignition in spacecraft thrusters, turbulence control, and precursor detection of cascade flutter in aircraft gas turbines.
*Illustrative imageMechanisms and Precursor Detection of Combustion Oscillations
In industrial gas turbines and in aircraft and rocket engines, strong pressure fluctuations can crack combustor walls, and thermal loads can melt injector walls. The lab investigates the spatiotemporal dynamics and formation mechanisms of combustion oscillations, aiming to build methods for detecting their precursors.
*Illustrative imageAbnormal Ignition in Spacecraft Thrusters
Bipropellant thrusters are widely used for attitude control of geostationary satellites and space probes, but at startup, combustion accompanied by an ignition shock known as a hard start can occur. The lab is attempting to detect precursors of this startup hard start.
*Illustrative imageTurbulent Drag Reduction and Heat Transfer Enhancement
Frictional drag in turbulence is dramatically larger than in laminar flow at the same Reynolds number, and it causes energy loss in high-speed transport equipment and industrial machinery. The lab studies turbulence control methods that can reduce frictional drag and enhance heat transfer, using theory and numerical computation.
*Illustrative imageDetecting Cascade Flutter in Aircraft Engines
Raising the bypass ratio is important for improving aircraft propulsion and fuel efficiency, but lighter turbines have lower blade stiffness, which raises concern about flutter caused by aeroelastic instability. This theme aims to build methods for detecting precursors of cascade flutter in low-pressure turbines for aircraft engines.
MembersFaculty
The members of the Gotoda Lab are faculty, visiting researchers, a secretary, and doctoral, master's, and undergraduate students.As of 2026
- ProfessorHiroshi Gotoda
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Combustion of Sulfur” TimBomBom1 / CC BY-SA 4.0 (cropped)
- Mechanisms and Precursor Detection of Combustion Oscillations: “Bunsen burner flame types” Arthur Jan Fijałkowski / CC BY-SA 3.0 (cropped)
- Abnormal Ignition in Spacecraft Thrusters: “SPacecraft Psyche's Thruster Integration Underway PIA24789” NASA / Public domain (cropped)
- Turbulent Drag Reduction and Heat Transfer Enhancement: “False color image of the far field of a submerged turbulent jet” C. Fukushima and J. Westerweel, Technical University of Delft / CC BY 3.0 (cropped)
- Detecting Cascade Flutter in Aircraft Engines: “Inlet of jet engine” Tony Hisgett from Birmingham, UK / CC BY 2.0 (cropped)
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- Related lab (石川研究室): “Model in Vortex Facility - GPN” NASA/LARC/photographer unknown / Public domain (cropped)
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