Research Article

Modified Quasi-Steady Fuel Droplet Combustion Model

Table 2

Proposed model 𝑛 -heptane results.

Iteration 𝑇 𝑓 𝐺 [K] 𝑇 [K] 𝑘 g [ W / m K ] 𝑐 𝑝 g [ k J / k g K ] 𝑇 + [K] 𝑘 + g [ W / m K ] 𝑐 + 𝑝 𝑔 [ k J / k g K ] 𝐿 𝑒 𝐿 𝑒 + 𝑛 𝐴 𝐵 𝑇 𝑓 [K] 𝑟 𝑓 / 𝑟 𝑠 K [ 1 0 3 c m 2 / s ] | 𝑇 𝑓 𝐺 𝑇 𝑓 | [K]

121001235.70.0908573.59201199.00.0771161.17391.730.820.180.99658.92474.811.627.00374.8
22474.81423.10.1018183.76661386.40.0896981.20831.720.750.161.01767.12542.810.377.7568
32542.81457.10.1039233.79451420.40.0922121.21451.720.730.151.02268.92556.210.147.8913.4
42556.21463.80.1043413.79991427.10.0927141.21571.730.730.151.02369.32558.710.097.922.5
52558.71465.10.1044223.80091428.40.0928111.21601.730.730.151.02369.32559.210.097.930.5

Fixed variables: 𝑇 𝑠 = 𝑇 b o i l = 3 7 1 . 4 K , 𝑇 = 2 9 8 K , 𝜌 𝑙 = 6 8 4  kg/ m 3 , Δ 𝑐 = 4 4 9 0 7  kJ/kg, 𝑓 𝑔 = 3 1 6  kJ/kg, 𝜐 = 1 5 . 0 8 , 𝜒 𝐹 = 0 . 5 4 , 𝜒 𝑂 𝑥 = 0 . 4 6 , 𝑌 𝐹 = 0 . 8 1 , 𝑌 𝑂 𝑥 = 0 . 1 9 .