Knowledge card
The mixed-convection parameter retains ΔT₀
With Gr_x=gβ_f(T_r−T∞)x³/ν_f² and Re_x=U_wx/ν_f, the corrected scalings give λ=Gr_x/Re_x²=gβ_fΔT₀/c². Dropping ΔT₀ or one power of c is dimensionally and physically inconsistent.
Dimension I
Definition
What it is — and what it is not
- What it is
- S1Correction and justification — With Gr_x=gβ_f(T_r−T∞)x³/ν_f² and Re_x=U_wx/ν_f, the corrected scalings give λ=Gr_x/Re_x²=gβ_fΔT₀/c². Dropping ΔT₀ or one power of c is dimensionally and physically inconsistent. [1.1]
Dimension II
In practice
How to deal with it
No practical guidance recorded yet.
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