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Standard surface Nu differs from the reference-temperature proxy

A convective boundary leaves T_s=T(x,0,t) unknown. Therefore Re_x^{-1/2}Nu_{x,s}=−(φ_k+4Rd/3)θ′(0)/θ(0); the expression without θ(0) is retained only as the explicitly named reference-temperature group Nũ_x.

Dimension I

Definition

What it is — and what it is not

What it is
  • S1Correction and justification — A convective boundary leaves T_s=T(x,0,t) unknown. Therefore Re_x^{-1/2}Nu_{x,s}=−(φ_k+4Rd/3)θ′(0)/θ(0); the expression without θ(0) is retained only as the explicitly named reference-temperature group Nũ_x. [1.1]

Dimension II

In practice

How to deal with it

No practical guidance recorded yet.

Applies pattern

References

  1. Schlichting & Gersten (2017), Boundary-Layer Theory

    • 1.1

      Local heat-transfer coefficient and Nusselt definition — A convective boundary leaves T_s=T(x,0,t) unknown. Therefore Re_x^{-1/2}Nu_{x,s}=−(φ_k+4Rd/3)θ′(0)/θ(0); the expression without θ(0) is retained only as the explicitly named reference-temperature group Nũ_x.

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