Application of tensor theory in engineering: Difference between revisions
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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. | 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: | |||
:A<sup>i'</sup><sup>j'</sup><sub>k'</sub> = x<sup>i'</sup><sub>i</sub> x<sup>j'</sup><sub>j</sub> y<sup>k</sup><sub>k'</sub> A<sup>i</sup><sup>j</sup><sub>k</sub> | |||
Specific examples are: | Specific examples are: | ||
Revision as of 04:40, 22 October 2002
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