Fluid mechanics curriculum
Not sure where to start? 4 places to go
Start with your question
Why visitors arrive: You are studying fluid mechanics - coursework, interview prep, or self-study - and need a structured path.
Your question: Where should I start, and what modules exist?
You may also be asking
- Do I begin with dimensional analysis or viscous flow?
- Are there worked problem sets?
- What tools support the exercises?
Where to go next
- Problem-solving procedures: Algorithms before diving into theory modules
- Dimensional analysis (theory): Module 1A - Pi groups and similarity
- Viscous flow (theory): Module 2A - pipes and boundary layers
- Calculators: Air properties and planned pipe-flow helpers
A structured undergraduate pathway in dimensional analysis and viscous flow: theory modules, step-by-step problem-solving procedures, and matched practice sets. Part of the engineering knowledge platform on lucasrey.com.
- Audience: University STEM students, self-directed learners, and teaching clients preparing quantitative fluid mechanics
- Prerequisites: Introductory calculus, basic vector calculus, and comfort with SI units
- Recommended path: Problem-solving procedures → dimensional analysis (theory + problems) → viscous flow (theory + problems)
- Provenance: Modules developed during fluid mechanics teaching in Barcelona (IES Abroad); consolidated here as durable open curriculum
- Author: Lucas Rey, Oxford DPhil aerothermal engineer · ORCID · Teaching · About
Who this is for
The sequence is written for readers who want first-principles rigour rather than exam-drill templates. It suits university revision, supervision-style support, and long-form self-study. For guided study alongside these modules, see the Teaching hub; for instrumentation and methods that support experimental fluid work, see engineering notes.
Related platform resources
- Experimental aerothermal measurement: traceability and similarity for experimental campaigns
- CFD-experiment validation: pairing simulations with measured observables
- Air properties calculator: thermophysical inputs for Reynolds and energy balances
- Engineering hub: central index for tools, curriculum, notes, and research
- Technical notes: instrumentation and uncertainty workflows
- Articles: long-form reference writing beyond curriculum modules
- Publications: research foundations in aerothermal and fluid engineering
- Projects: applied CFD and experimental campaigns using the same methods
- Instrumentation & measurement: probe calibration and uncertainty workflows
- Turbomachinery deterioration: research theme connecting curriculum scaling to HPT work
- Dimensionless groups reference: Pi-group lookup supporting curriculum modules
- Aerothermal engineering methods: experiment and validation workflows
- Applied aerodynamics: field fluids and outdoor flow problems
- Oxbridge lexicon: admissions reference for STEM applicants
- Teaching: guided study and admissions support grounded in this material
Part of
This page sits within the broader knowledge structure on lucasrey.com:
- Engineering - Central knowledge platform - tools, curriculum, notes, and research assets.
- Curriculum - Structured fluid mechanics modules from first principles.
Connected work
Related content from the same research and engineering work:
- Problem-solving procedures
- Engineering calculators
- Viscous flow module
- Dimensional analysis module
- Fluid mechanics curriculum - Referenced from Engineering
- Curriculum index - Referenced from Viscous flow - problems
- Curriculum index - Referenced from Dimensional analysis - problems
Part of Engineering
This page is part of the engineering knowledge platform on lucasrey.com.
- Engineering hub - Full knowledge platform index
- Problem-solving procedures - Core algorithms for dimensional analysis and viscous flow problems.
- Viscous flow - Governing equations, boundary layers, and pipe flow.
- Viscous flow - problems - Worked and practice problems for viscous flow.
- Dimensional analysis - Pi groups, similarity, and model testing.
- Engineering calculators - Air properties and pipe flow (live); probe uncertainty and heat-exchanger screening (planned).
- Viscous flow - Governing equations, boundary layers, and pipe flow.
- Dimensional analysis - Pi groups, similarity, and model testing.
- Publications - Peer-reviewed papers and manuscripts in preparation - research pillar with thematic hubs, project links, and structured metadata.
- teaching
- Engineering notes - Reference material and methods documentation - instrumentation and turbomachinery clusters.
- Problem-solving procedures
- Engineering calculators
- Viscous flow module
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.
- Teaching - University STEM support, admissions guidance, and quantitative reasoning - engineering-informed teaching.
Where to go from here
Every paper, practice question and guide on this site is free to read. These are the things worth doing next.
- Find out where you actually stand - Fifteen questions, twenty minutes, scored instantly, with a worked solution for every one you miss
- Practise by topic at full paper depth - Practice questions in every module, filed by topic and skill, each worked in full
- See what can actually be checked about this tutor - What is published, counted from the pages themselves, and the credentials behind it
- Enquire about one-to-one preparation - For candidates who want the gap closed rather than mapped. Places are limited and taken by application
- Books for admissions test preparation - The ESAT Move Register, a book of shortcuts for the ESAT, with a preview of its pages
The diagnostic and the practice questions linked above are free and stay free. One-to-one places are limited and taken by application, not by the hour.