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Standard skin friction retains the dynamic-pressure factor

With C_f = τ_w/(½ρ_fU_w²), the reduced result is ½Re_x^{1/2}C_f = (φ_μ+ε)f″(0) − (εδ/3)f″(0)³. Omitting the half is permissible only when a nonstandard τ_w/(ρ_fU_w²) definition is stated.

Dimension I

Definition

What it is — and what it is not

What it is
  • S1Correction and justification — With C_f = τ_w/(½ρ_fU_w²), the reduced result is ½Re_x^{1/2}C_f = (φ_μ+ε)f″(0) − (εδ/3)f″(0)³. Omitting the half is permissible only when a nonstandard τ_w/(ρ_fU_w²) definition is stated. [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

      Wall shear and skin-friction definition — With C_f = τ_w/(½ρ_fU_w²), the reduced result is ½Re_x^{1/2}C_f = (φ_μ+ε)f″(0) − (εδ/3)f″(0)³. Omitting the half is permissible only when a nonstandard τ_w/(ρ_fU_w²) definition is stated.

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