∆TMantle Heating 1413 K B17 CMantle 1124 Jkg –1K –1 1 MMartian Mantle 4.79E+23 kg 1.B15 ∆HMantle Heating = CM∆TMHMLM 7.61E+29 J Result Table 7 - Energy Requirements to Heat Mantle Parameter Amount Units Ref Boltzmann Constant - kB 1.38E-23 J/K 10 Planck Constant - h 6.63E-34 Js 11 Speed of Light - c 3.00E+08 m/s 12 Stefan-Boltzmann - σ = 2π5k B 4/(15h3c2) 5.67E-08 Jm–2s–1K –1 13 Overall Martian Radius - RM 3.39E+06 m 1.B4 Martian Surface Area - AL = 4πRO 2 1.44E+14 m2 Fraction of Surface Covered by Lava - FSCL 10% m2/m2 Trial Atomisation Area Increase Factor - FAAI 500% m2/m2 Trial Effective Radiating Area - AE = ALFSCLFAAI 7.22E+13 m2 Trial Surface Temperature - TS 2998 K B37 Maximum Radiated Power - PM = σAETS 4 3.31E+20 W 14 Timescale for Radiation - tR (1 year) 3.16E+07 s Flood Radiated Energy Estimate - ∆HR = PMtR 1.04E+28 J Result Table 6 - Radiation Heat Loss STERNBERG Craters and cracks 2023 ICC 62
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