Technical notes

Short-form technical documentation, derivations, calibration models, and uncertainty workflows supporting publications, projects, and the engineering knowledge platform.

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Start with your question

Why visitors arrive: You want a derivation, calibration model, or methods reference - shorter than a paper, more precise than a blog post.

Your question: Which technical notes exist for instrumentation, turbomachinery, or thermal design?

You may also be asking

  • Where is probe uncertainty worked out?
  • Is there thermography data reduction guidance?
  • How do notes link to publications?

Where to go next

  • Focus: Mathematical derivations, signal processing, and calibration algorithms
  • Author: Lucas Rey, Oxford DPhil aerothermal engineer · ORCID · About · Publications
  • Format: Compact reference documents typeset with MathJax for technical clarity
  • Curriculum: Structured fluid mechanics modules live on the fluid mechanics curriculum hub, foundational Pi-group tables also on the dimensionless groups reference

Knowledge clusters

References listed in more than one knowledge cluster: Measurement uncertainty fundamentals, in Instrumentation & measurement, Aerothermal engineering methods, Foundational references; Experimental aerothermal measurement, in Instrumentation & measurement, Aerothermal engineering methods, Turbomachinery deterioration; Dimensionless groups reference, in Aerothermal engineering methods, Thermal & additive design, Foundational references; Aerothermal engineering methods, in Instrumentation & measurement, Aerothermal engineering methods; CFD-experiment validation, in Aerothermal engineering methods, Turbomachinery deterioration. Applied aerodynamics shares none of them.5 REFERENCES LISTED IN MORE THAN ONE CLUSTERInstrumentation& measurementAerothermalengineering methodsTurbomachinerydeteriorationThermal &additive designAppliedaerodynamicsFoundationalreferencesClustersMeasurement uncertainty fundamentals3Experimental aerothermal measurement3Dimensionless groups reference3Aerothermal engineering methods2CFD-experiment validation2
5 REFERENCES LISTED IN MORE THAN ONE CLUSTER123456ClustersMeasurement uncertainty fundamentals3Experimental aerothermal measurement3Dimensionless groups reference3Aerothermal engineering methods2CFD-experiment validation21Instrumentation & measurement2Aerothermal engineering methods3Turbomachinery deterioration4Thermal & additive design5Applied aerodynamics6Foundational references
5 REFERENCES IN SEVERAL CLUSTERS123456Measurement uncertaintyfundamentalsExperimentalaerothermal measurementDimensionlessgroups referenceAerothermalengineering methodsCFD-experimentvalidation1Instrumentation & measurement2Aerothermal engineering methods3Turbomachinery deterioration4Thermal & additive design5Applied aerodynamics6Foundational references
Counted from the lists below: a dot means that cluster lists the reference. These are the pages several research threads lean on at once.

Notes are grouped by research thread so related publications, projects, and tools stay discoverable from one canonical index, not scattered across the site.

Instrumentation & measurement

Pneumatic probing, uncertainty propagation, and multi-facility calibration, methods used in Oxford turbine campaigns and open-hardware probe benchmarking.

Turbomachinery deterioration

Rolls-Royce-sponsored HPT aerothermal and thermal performance under in-service leading-edge damage.

Published notes

The technical notes in layers. Foundational references: Measurement uncertainty fundamentals, bias, precision, propagation; Dimensionless groups reference, Re, Ma, Nu, Pr and Bi. Instrument derivations: Pneumatic probes overview, 3-hole, 5-hole and 7-hole; 3-hole probe uncertainty analysis, bias propagation, Reynolds; 5-hole probe Monte Carlo suite, in preparation. Campaign and paper methods: HPT transient thermography, ECAT data reduction, Biot; Additive heat-exchanger low-order models, behind the 2024 paper. Notes link forward to: Projects and publications, where methods are applied; Calculators , correlations, interactively..FOUNDATIONAL REFERENCESMeasurement uncertaintyfundamentalsbias, precision, propagationDimensionless groupsreferenceRe, Ma, Nu, Pr and BiINSTRUMENT DERIVATIONSPneumatic probesoverview3-hole, 5-hole and 7-hole3-hole probeuncertainty analysisbias propagation, Reynolds5-hole probeMonte Carlo suitein preparationCAMPAIGN AND PAPER METHODSHPT transientthermographyECAT data reduction, BiotAdditive heat-exchangerlow-order modelsbehind the 2024 paperNOTES LINK FORWARD TOProjects andpublicationswhere methods are appliedCalculatorscorrelations, interactively
FOUNDATIONAL REFERENCESMeasurement uncertaintyfundamentalsbias, precision, propagationDimensionless groupsreferenceRe, Ma, Nu, Pr and BiINSTRUMENT DERIVATIONSPneumatic probesoverview3-hole, 5-hole and 7-hole3-hole probeuncertainty analysisbias propagation, Reynolds5-hole probeMonte Carlo suitein preparationCAMPAIGN AND PAPER METHODSHPT transientthermographyECAT data reduction, BiotAdditive heat-exchangerlow-order modelsbehind the 2024 paperNOTES LINK FORWARD TOProjects andpublicationswhere methods are appliedCalculatorscorrelations, interactively
FOUNDATIONAL REFERENCESMeasurement uncertaintyfundamentalsbias, precision, propagationDimensionless groupsreferenceRe, Ma, Nu, Pr and BiINSTRUMENT DERIVATIONSPneumatic probesoverview3-hole, 5-hole and 7-hole3-hole probeuncertainty analysisbias propagation, Reynolds5-hole probeMonte Carlo suitein preparationCAMPAIGN AND PAPER METHODSHPT transientthermographyECAT data reduction, BiotAdditive heat-exchangerlow-order modelsbehind the 2024 paperNOTES LINK FORWARD TOProjects andpublicationswhere methods are appliedCalculatorscorrelations, interactively
Measurement uncertainty fundamentals is the layer beneath the instrument-specific derivations; the dashed note is in preparation.

Each note consolidates derivations and operational workflows into a durable reference. Notes link forward to projects and publications where the methods are applied, and to calculators where correlations are implemented interactively.

3-hole probe uncertainty analysis

Instrumentation · Uncertainty propagation

Derivation of uncertainty propagation for three-hole pneumatic probes: calibration functions, recovery of total and static pressures, and partial derivatives for bias propagation in Reynolds-number estimation.

Related: Multi-facility 5-hole probe cross-calibration · HPT deterioration project (ECAT campaigns) · Publications · Calculators (planned probe-uncertainty module)

Additive heat-exchanger low-order models

Thermal design · Additive manufacturing

NTU-effectiveness framing, friction-factor budgeting, and AM constraint checklists, methods behind the 2024 heat-exchanger paper.

Additional derivations are added as research workflows are formalised.

In preparation

These notes are scoped from active project and publication work, listed here so the hub reflects honest roadmap status, not a single finished item.

Structured curriculum

Long-form fluid mechanics teaching material, dimensional analysis, viscous flow, and matched problem sets, is maintained as a dedicated curriculum path rather than as notes. The modules were developed during teaching in Barcelona (IES Abroad) and are published as first-principles learning resources.

A hard R&D problem is the kind of conversation I enjoy most, and most of my work has started as one.

Part of

This page sits within the broader knowledge structure on lucasrey.com:

  • Engineering - Central knowledge platform - tools, curriculum, notes, and research assets.

Related content from the same research and engineering work:

Part of Engineering

This page is part of the engineering knowledge platform on lucasrey.com.

Engineering knowledge platform

More tools, curriculum, notes, and research from the same body of work:

  • Engineering - Central knowledge platform - tools, curriculum, notes, research, and applied engineering work.
  • Collaborate - Industry advisory, aerothermal R&D collaboration, and venture partnerships.

Where to go from here

Ways to take this further, in the order they usually happen.

I take a small number of advisory engagements alongside the doctorate.