pie-dimensional-analysislisted

# Dimensional Analysis Skill ## At a Glance Dimensional analysis is the mathematical verification layer that ensures physical calculations are dimensionally consistent -- catching unit errors before they become calculation errors. **When to activate:** - Verify multi-step calculations for unit consistency - Mix SI and Imperial units in the same calculation - Scale experimental data to new conditions via dimensionless groups - Identify governing parameters of a physical system - Validate Calculator agent outputs before committing to CalculationRecord **Key capabilities:** - Unit tracking via exponent maps (PhysicalQuantity pattern) - Compound unit algebra: multiply, divide, power, dimensional homogeneity - Dimensional mismatch detection at every arithmetic step - SI to Imperial conversion for all infrastructure engineering domains - Buckingham pi theorem for deriving dimensionless groups - Infrastructure dimensionless numbers: Reynolds, Nusselt, Prandtl, Grashof, Froude, Strouhal **Integration:** Cross-cutting skill -- applies to outputs from fluid-systems, power-systems, and thermal-engineering. Acts as verification layer before Calculator agent commits to CalculationRecord. > **NOTE:** Dimensional analysis verifies mathematical self-consistency only. It does not replace engineering judgment or safety verification. Dimensionally correct equations can still be physically wrong if incorrect constants or assumptions are used. **Quick routing:** - Unit conversions only -->