Journal of Mathematics in Industry

Table 1 Scaling table with typical reference values

From: Modelling, asymptotic analysis and simulation of the gas dynamics in a chimney

Quantity	Reference value	Typical reference value
x	$x r = L$	10 m
t	$t r$	20 s
A	$A r$	0.07 m²
h	L	10 m
u	$u r = L / t r$	0.5 m/s
p	$p r$	101,328 kg/(m s²)
T	$T r = T w$	263 K (=−10^∘C)
ρ	$ρ r = p r / (R T r)$	1.3 kg/m³
q	$q r = c ˜ q ρ r u r$	5 × 10⁵ W/m³
m	$m r = c ˜ m ρ r u r$	5 × 10⁻² kg/(s m³)

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