Modelling of a One Dimensional Ablation Process with Char Formation

References

• Andrews , J. G. and Atthey , D. R. ( 1975 ) On the Motion of an Intensely Heated Evaporating Boundary. J. Inst. Maths Applies , 15 , 59 – 72 .
   Google Scholar
• Carslaw , H. S. and Jaeger , J. C. ( 1947 ) Conduction of Heat in Solids. , 1st edn. Clarendon Press, Oxford .
   Google Scholar
• Crowley , A. B. ( 1978 ) Numerical Solution of Stefan Porblems. Int. J. Heat Mass Transfer , 21 , 215 – 19 .
   Web of Science ®Google Scholar
• Date , A. W. ( 1991 ) A Strong Enthalpy Formulation for the Stefan problem. Int. J. Heat Mass Transfer , 34 , 2231 – 35 .
   Web of Science ®Google Scholar
• Incropera , F. P. and DeWitt , D. P. ( 1981 ) Fundamentals of Heat Transfer. ,1st edn. John Wiley and Sons.
   Google Scholar
• Goodman , T. R. ( 1958 ) The Heat‐Balance Integral and Its Application to Problems Involving a Change of Phase. J. Heat Transfer, Trans ASME , 80 , 335 – 341 .
   Google Scholar
• Goodman , T. R. and Shea , J. J. ( 1960 ) The Melting of Finite Slabs. J. Applied Mechanics, Trans ASME , 82 , 16 – 24 .
   Google Scholar
• Crank , J. ( 1973 ) Melting Ice by the Isotherm Migration Method. Quart. Journ. Mech. and Applied Math. , vX, 220 – 31 .
   Google Scholar
• Crank , J. and Phahle , R. D. ( 1957 ) Two Methods for the Numerical Solution of Moving‐Boundary Problems in Diffusion and Heat Flow. Inst. Maths Applies , vX, 220 – 31 .
   Google Scholar
• Kumar , R. S. and Gupta , D. ( 1981 ) Variable Time Step Methods for One‐dimensional Stefan problem with mixed boundary condition. Int. J. Heat Mass Transfer , 24 , 251 – 59 .
   Google Scholar
• Mennig , J. and Ozisik , M. N. ( 1985 ) Coupled integral equation approach for solving melting or solidification. Int. J. Heat Mass Transfer , 28 , 1481 – 1485 .
   Google Scholar
• Mohamed , F. A. ( 1990 ) The energy‐integral method: application to one‐phased hyperbolic Stefan problems. Int. J. Heat Mass Transfer , 33 , 409 – 16 .
   Web of Science ®Google Scholar
• Wang , H. T. and Fan , H. P. ( 1993 ) Analysis of a One‐Dimensional Solidification Problem with Two‐Phase Moving Boundaries. Thermochimica Acta , 218 , 71 – 82 .
   Google Scholar
• Chen , Y. , Delichatsios , M. A. and Motevalli , V. ( 1993 ) Material Pyrolysis Properties , Part I: An Integral Model for One‐Dimensional Transient Pyrolysis of Charring and Non‐Charring Materials. Combust. Sci. and Tech , 88 , 309 – 28 .
   Web of Science ®Google Scholar
• Talmon , Y. , Davis , H. T. and Scriven , L. E. ( 1983 ) Moving Boundary Problems in Simple Shapes Solved by Isotherm Migration. AIChE Journal , 29 , 795 – 99 .
   Google Scholar