Numerical Analysis of Thermal Conductivity of Non-Charring Material Ablation Carbon-Carbon and Graphite with Considering Chemical Reaction Effects, Mass Transfer and Surface Heat Transfer
Nowadays, there is little information, concerning the
heat shield systems, and this information is not completely reliable to
use in so many cases. for example, the precise calculation cannot be
done for various materials. In addition, the real scale test has two
disadvantages: high cost and low flexibility, and for each case we
must perform a new test. Hence, using numerical modeling program
that calculates the surface recession rate and interior temperature
distribution is necessary. Also, numerical solution of governing
equation for non-charring material ablation is presented in order to
anticipate the recession rate and the heat response of non-charring
heat shields. the governing equation is nonlinear and the Newton-
Rafson method along with TDMA algorithm is used to solve this
nonlinear equation system. Using Newton- Rafson method for
solving the governing equation is one of the advantages of the
solving method because this method is simple and it can be easily
generalized to more difficult problems. The obtained results
compared with reliable sources in order to examine the accuracy of
compiling code.
[1] S.R. Candane, C.Balaji, and S.P.Venkateshan, A Comparison of Quasi
one-Dimensional and two-dimensional Ablation Models for Subliming
Ablators, International Journal of Heat transfer engineering, 30(3):229-
236, 2009.
[2] A. Mazzaracchio, M. Marchetti, A probabilistic sizing tool and Monte
Carlo analysis for entry vehicle ablative thermal protection systems,
Acta Astronautica,2009.
[3] J. D. Anderson, Hypersonic and high temperature gas dynamics.
McGraw-Hill,1989.
[4] A.J Amar Modeling of One-dimensional Ablation With Porous Flow
Using Finite Control Volume Procedure, requirements for the Degree of
Master of Science. Raleigh 2006.
[5] J. Lachaud, Y. Aspa, G.L. Vignoles, International Journal of Heat and
Mass Transfer 51(9-10) 2618-2627, 2008.
[6] E.Fitzer, L.M Manocha, Carbon Reinforcements and C/C composites,
Springer, p. 342. 1998.
[7] G.duffa, G.L.vignoles, J.M. Goyheneche, Y.Aspa, International Journal
of Heat and Mass transfer 48(16):3387-3401, 2005.
[8] H. Hurwics., Aerothermochemistry studies in Ablation ., Thermo
dynamics Analysis section, Research and Advanced Development
Division. Avco Corporation, Wilmington, Massachusetts, 1963.
[9] G. W. Russell, Analytic Modeling and Experimental validation of In
tumescent Behavior of Charring Heat shield MaterialsÏî Technical Report
AMR-PS-04-05, January 2004.
[10] R. L. Potts., Application of Integral Methods to Ablation Charring
Erosion, AIAA/ASME Thermo physics and Heat Transfer Conference,
June 1990.
[11] V. S. Arpaci, Conduction Heat Transfer, Addison-Wesely, Reading,
MA, 1966.
[12] R. M. Kendall, E. P. Bartlett, R. A. Rindal and C. B. Moyer, An
Analysis of The Coupled Chemically Reacting Boundary Layer and
Charring Ablator, Part 1, June,NASA CR-1060,1968.
[1] S.R. Candane, C.Balaji, and S.P.Venkateshan, A Comparison of Quasi
one-Dimensional and two-dimensional Ablation Models for Subliming
Ablators, International Journal of Heat transfer engineering, 30(3):229-
236, 2009.
[2] A. Mazzaracchio, M. Marchetti, A probabilistic sizing tool and Monte
Carlo analysis for entry vehicle ablative thermal protection systems,
Acta Astronautica,2009.
[3] J. D. Anderson, Hypersonic and high temperature gas dynamics.
McGraw-Hill,1989.
[4] A.J Amar Modeling of One-dimensional Ablation With Porous Flow
Using Finite Control Volume Procedure, requirements for the Degree of
Master of Science. Raleigh 2006.
[5] J. Lachaud, Y. Aspa, G.L. Vignoles, International Journal of Heat and
Mass Transfer 51(9-10) 2618-2627, 2008.
[6] E.Fitzer, L.M Manocha, Carbon Reinforcements and C/C composites,
Springer, p. 342. 1998.
[7] G.duffa, G.L.vignoles, J.M. Goyheneche, Y.Aspa, International Journal
of Heat and Mass transfer 48(16):3387-3401, 2005.
[8] H. Hurwics., Aerothermochemistry studies in Ablation ., Thermo
dynamics Analysis section, Research and Advanced Development
Division. Avco Corporation, Wilmington, Massachusetts, 1963.
[9] G. W. Russell, Analytic Modeling and Experimental validation of In
tumescent Behavior of Charring Heat shield MaterialsÏî Technical Report
AMR-PS-04-05, January 2004.
[10] R. L. Potts., Application of Integral Methods to Ablation Charring
Erosion, AIAA/ASME Thermo physics and Heat Transfer Conference,
June 1990.
[11] V. S. Arpaci, Conduction Heat Transfer, Addison-Wesely, Reading,
MA, 1966.
[12] R. M. Kendall, E. P. Bartlett, R. A. Rindal and C. B. Moyer, An
Analysis of The Coupled Chemically Reacting Boundary Layer and
Charring Ablator, Part 1, June,NASA CR-1060,1968.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:53047", author = "H. Mohammadiun and A. Kianifar and A. Kargar", title = "Numerical Analysis of Thermal Conductivity of Non-Charring Material Ablation Carbon-Carbon and Graphite with Considering Chemical Reaction Effects, Mass Transfer and Surface Heat Transfer", abstract = "Nowadays, there is little information, concerning the
heat shield systems, and this information is not completely reliable to
use in so many cases. for example, the precise calculation cannot be
done for various materials. In addition, the real scale test has two
disadvantages: high cost and low flexibility, and for each case we
must perform a new test. Hence, using numerical modeling program
that calculates the surface recession rate and interior temperature
distribution is necessary. Also, numerical solution of governing
equation for non-charring material ablation is presented in order to
anticipate the recession rate and the heat response of non-charring
heat shields. the governing equation is nonlinear and the Newton-
Rafson method along with TDMA algorithm is used to solve this
nonlinear equation system. Using Newton- Rafson method for
solving the governing equation is one of the advantages of the
solving method because this method is simple and it can be easily
generalized to more difficult problems. The obtained results
compared with reliable sources in order to examine the accuracy of
compiling code.", keywords = "Ablation rate, surface recession, interior temperaturedistribution, non charring material ablation, Newton Rafson method.", volume = "4", number = "7", pages = "544-5", }