Table 1 Summary of the non-dimensional units and the model parameters.
[h] | 150 m | [T] | 7.5 °C |
[u] | 1.5 m/s | [t] | 2 months |
[τ] | 5 m/s | dτ | 2 |
γ | 0.75 | r | 0.25 |
α1 | 0.0625 | α2 | 0.125 |
b0 | 2.5 | μ | 0.5 |
σ | 0.2I | λ | 0.1 |
p(I) | 0.25 in I ∈ (0, 4) | σI(I) | Fig. 7e |
βE | 0.15(2–0.2I) | βu | −0.2βE |
βh | −0.4βE | βC | 0.8βE |
σu | 0.04 | σh | 0.02 |
σC | 0.04 | σE | 0 |
στ(TC, t) | \(0.9[\tan{\it{h}} (7.5{T}_{C})+1]\left[1+0.3\cos \left(\frac{2\pi }{6}t+\frac{2\pi }{6}\right)\right]\) | ||
c1(TC, t) | \(\left[25{\left({T}_{C}+\frac{0.75}{7.5}\right)}^{2}+0.9\right]\left[1+0.3\sin \left(\frac{2\pi }{6}t-\frac{2\pi }{6}\right)\right]\) | ||
c2(t) | \(1.4\left[1+0.2\sin \left(\frac{2\pi }{6}t+\frac{2\pi }{6}\right)+0.15\sin \left(\frac{2\pi }{3}t+\frac{2\pi }{6}\right)\right]\) | ||
