Approximate analytical solution for one-dimensional finite ablation problem with time-constant heat flux

37th AIAA Thermophysics Conference

Volumn , Issue , 2004, Pages

  Braga, Walber F ^a   Mantelli, Marcia B H ^a   Azevedo, João Luiz F ^b  

^a FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

^b INSTITUTO DE AERONÁUTICA E ESPAÇO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATE ANALYTICAL; APPROXIMATE ANALYTICAL SOLUTIONS; CLOSED SOLUTIONS; INTEGRAL METHOD; MOVING BOUNDARIES; NONLINEAR PROBLEMS; ONE-DIMENSIONAL SOLIDS; TRANSIENT HEAT TRANSFER;

ABLATION;

HEAT FLUX;

EID: 84897781822     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. Chung, B. T. F., Hsiao, J. S., "Heat Transfer with Ablation in a Finite Slab Subjected to Time-Variant Heat Fluxes", AIAA Journal, Vol. 23, Jan. 1985, pp. 145-150.
2. Zien, T. F., "Integral Solutions of Ablation Problems with Time-Dependent Heat Flux", AIAA Journal, Vol. 16, 1978, pp. 1287-1295.
3. Braga, W. F., Mantelli, M. B. H., Azevedo, J. L. F., "Approximate Analytical Solution for One-Dimensional Ablation Problem with Time-Variable Heat Flux", 36th AIAA Thermophysics Conference, AIAA, Orlando, June 2003, AIAA 2003-8419.
4. Goodman, T. R., "Application of Integral Methods to Transient Nonlinear Heat Transfer", Advances in Heat Transfer, Vol. 1, Academic Press, New York, 1964, pp. 51-122.
5. Landau, H. G., "Heat Conduction in a Melting Solid", Quaterly of Applied Mathematics, Vol. 8, 1950, pp. 81-94.
6. Sunderland, J.E., Grosh, R.J., "Transient Temperature in a Melting Solid", Transactions of the ASME - Journal of Heat Transfer, 1961, pp. 409-414.
7. Biot, M.A., Agrawal, H.C., "Variational Analysis of Ablation for Variable Properties", Transactions of the ASME - Journal of Heat Transfer, Aug. 1964, pp. 437-442.
8. Blackwell, B. F., "Numerical Prediction of One-Dimensional Ablation Using a Finite Control Volume Procedure with Exponential Differencing", Numerical Heat Transfer, Vol. 14, 1998, pp. 17-34.
9. Storti, M., "Numerical modeling of ablation phenomena as two-phase Stefan problems", International Journal of Heat Transfer, Vol. 38, No. 15, 1995, pp. 2843-2854.
10. Yovanovich, M.M., Teertstra, P., Muzychka, "Natural Convection Inside Vertical Isothermal Ducts of Constant Arbitrary Cross-Section", Journal of Thermophysics and Heat Transfer, Vol. 16, No. 01, 2002, pp. 116-121.