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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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