Numerical investigation and correlations for heat diffusion through planar ablative thermal protection systems

Suresh, 2009, Roadmap of Indian space transportation, Acta Astronaut., 64, 395, 10.1016/j.actaastro.2008.09.009 Freeman, 1997, Reusable launch vehicle technology program, Acta Astronaut., 41, 777, 10.1016/S0094-5765(97)00197-5 East, 1991, Atmospheric Re-entry, 175 Landau, 1950, Heat conduction in a melting solid, Q. Appl. Math., 8, 81, 10.1090/qam/33441 Citron, 1960, Heat conduction in a melting slab, J. Aero/Space Sci., 27, 219, 10.2514/8.8473 Swann, 1962 Goodman, 1958, The heat-balance integral and its application to problems involving a change of phase, Trans. ASME, 80, 335 Zien, 1978, Integral solutions of ablation problems with time-dependent heat flux, AIAA J., 16, 1287, 10.2514/3.61045 Venkateshan, 1990, A general integral method for one dimensional ablation, Warme- und Stoffubertragung, 25, 141, 10.1007/BF01590144 Ledder, 1997, An integral equation for the planar ablation problem, Int. J. Eng. Sci., 35, 819, 10.1016/S0020-7225(97)80001-8 Hunter, 1997, Enthalpy method for ablation-type moving boundary problems, J. Thermophys Heat Transfer, 5, 240, 10.2514/3.253 Storti, 1995, Numerical modeling of ablation phenomena as two-phase Stefan problems, Int. J. Heat Mass Transf., 38, 2843, 10.1016/0017-9310(95)00002-Q Katte, 2000 Potts, 1983, An integral method theorem for heat conduction, AIAA J., 21, 10.2514/3.8123 Jany, 1988, Scaling theory of melting with natural convection in an enclosure, Int. J. Heat Mass Transf., 31, 1221, 10.1016/0017-9310(88)90065-8 Shah, 2018, General correlation for maximum heat transfer to surfaces submerged in gas-fluidized beds, Chem. Eng. Sci., 185, 127, 10.1016/j.ces.2018.04.008 Blackwell, 1994, One dimensional ablation using landau transformation and finite control volume procedure, J. Thermophys. Heat Transfer, 8, 282, 10.2514/3.535