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Constant Powell–Eyring δ requires an explicit local-similarity assumption

With physical material constants β and ς, δ carries x²(1−γt)^{-3}; the reduced equation is local/quasi-similar. Making δ globally constant by assigning x,t dependence to material constants is a mathematical device, not a physical constitutive law.

Dimension I

Definition

What it is — and what it is not

What it is
  • S1Correction and justification — With physical material constants β and ς, δ carries x²(1−γt)^{-3}; the reduced equation is local/quasi-similar. Making δ globally constant by assigning x,t dependence to material constants is a mathematical device, not a physical constitutive law. [1.1]

Dimension II

In practice

How to deal with it

No practical guidance recorded yet.

Applies pattern

References

  1. Avramenko, Kovetskaya & Shevchuk (2022), Chinese J. Phys.

    • 1.1

      Self-similar Eyring–Powell analysis without constitutive simplification — With physical material constants β and ς, δ carries x²(1−γt)^{-3}; the reduced equation is local/quasi-similar. Making δ globally constant by assigning x,t dependence to material constants is a mathematical device, not a physical constitutive law.

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