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Joule heating and viscous dissipation are explicit energy-model choices

Lorentz braking is not an energy source term by itself. If retained, Joule heating contributes σ_hnfB²u² and viscous dissipation contributes τ_xy u_y; the baseline energy equation must explicitly state that both switches are off.

Dimension I

Definition

What it is — and what it is not

What it is
  • S1Correction and justification — Lorentz braking is not an energy source term by itself. If retained, Joule heating contributes σ_hnfB²u² and viscous dissipation contributes τ_xy u_y; the baseline energy equation must explicitly state that both switches are off. [1.1]

Dimension II

In practice

How to deal with it

No practical guidance recorded yet.

Applies pattern

References

  1. Hussain et al. (2023), ZAMM

    • 1.1

      Energy equation with Joule heating and viscous dissipation — Lorentz braking is not an energy source term by itself. If retained, Joule heating contributes σ_hnfB²u² and viscous dissipation contributes τ_xy u_y; the baseline energy equation must explicitly state that both switches are off.

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