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The thermal amplitude is independent of the stretch rate

The corrected prescription is T_r−T∞ = ΔT₀x/(1−γt)² with ΔT₀ in K m⁻¹. Reusing c, whose dimension is s⁻¹, equates temperature and velocity scales and makes the thermal substitutions dimensionally invalid.

Dimension I

Definition

What it is — and what it is not

What it is
  • S1Correction and justification — The corrected prescription is T_r−T∞ = ΔT₀x/(1−γt)² with ΔT₀ in K m⁻¹. Reusing c, whose dimension is s⁻¹, equates temperature and velocity scales and makes the thermal substitutions dimensionally invalid. [1.1]

Dimension II

In practice

How to deal with it

No practical guidance recorded yet.

Applies pattern

References

  1. Ishak, Nazar & Pop (2009), Meccanica

    • 1.1

      Independent unsteady stretching and surface-temperature amplitudes — The corrected prescription is T_r−T∞ = ΔT₀x/(1−γt)² with ΔT₀ in K m⁻¹. Reusing c, whose dimension is s⁻¹, equates temperature and velocity scales and makes the thermal substitutions dimensionally invalid.

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