CASE STUDY
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07 — Physics

Analytical Model

Derived a first-principles model that predicted system behaviour ahead of testing.

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RoleResearch / Modelling
CategoryPhysics
Timeline4 months
Year2023

Overview

Rather than test blindly and hope, the work built a model from the underlying physics that said what the system should do — then checked reality against it.

01

Challenge

The system was expensive and slow to test, and intuition was running out. A predictive framework was needed before committing to a costly experimental campaign.

02

Approach

Derived the governing relations from first principles, reduced them with dimensional analysis to the parameters that actually matter, and implemented the model numerically so predictions could be generated quickly.

03

Outcome

A model that predicted behaviour ahead of testing and told the team which experiments were worth running — turning a guessing game into a targeted campaign.

By the numbers

1st-principlesDerivation
PredictiveAhead of test
4 moModel build

[PLACEHOLDER — swap in real figures]

Deliverables

  • Analytical derivation
  • Numerical model
  • Validation write-up

Tools & Methods

Analytical DerivationDimensional AnalysisPython / NumPyValidation