Prescribed Heating Temperature T_r (legacy T_w)

Mathematical Modelling — Fluid Dynamics & Heat TransferContinuum mechanics; boundary-layer similarity theory

Symbol

The external/reference heating temperature. Under the Robin condition the actual surface value is T_s=T(x,0,t), so θ(0) is generally not one.

Also known as:T_rT_w

Variable

Dimension I

Definition

What it is — and what it is not

What it is: S1The prescribed external/reference heating temperature (K), denoted T_r in the corrected model and T_w in the draft.
Attributes: S2Its excess is ΔT₀x/(1−γt)²; the actual surface value is T(x,0,t) when a convective Robin condition is used.

Dimension II

How to deal with it

No practical guidance recorded yet.