Application of tensor theory in engineering
Tensor theory is extremely useful in advanced engineering theory. It is used to help describe or model many natural phenomenon such as: physical forces, potential fields, particle or control element motion, wave propagation, etc.
Constructions notes:
- Ai'j'k' = xi'i xj'j ykk' Aijk
Specific examples are:
aeronautical engineering
Navier-Stokes equations Presented in partial differential equation form.
- Vorticity is an important quantity in various research, modeling and design calculations regarding lift, drag, and propulsion. It is a tensor quantity defined as: insert gif here when available.
dynamics of systems of rigid (assumed incompressible) bodies and particles
stress and strain within elastic bodies
electromagnetics Maxwell's Equations
hydrodynamics