Heat Balance Integral Method for One-Dimensional Finite Ablation

@inproceedings{Mitchell2008HeatBI,
  title={Heat Balance Integral Method for One-Dimensional Finite Ablation},
  author={Sarah L. Mitchell and T. G. Myers},
  year={2008}
}
In this paper, the heat balance integral method is applied to a simple one-dimensional ablation problem. Previous authors have provided solutions that give good approximations over a short time scale; we attempt to provide a solution valid over a large time scale, both before and after ablation begins. We give motivation for the choice of a quartic approximating function n 4 and compare our results with different polynomial approximations and numerical solutions. It is shown that lower values… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 22 references

Approximate Analytical Solution forOne-DimensionalAblation Problemwith Time- Variable Heat Flux

  • W. F. Braga, M.B.H. Mantelli, J.L.F. Azevedo
  • AIAA Paper 2003-4047, June 2003.
  • 2003
Highly Influential
19 Excerpts

The Heat-Balance Integral and Its Application to Problems Involving a Change of Phase

  • T. R. Goodman
  • Transactions of the American Society of…
  • 1958
Highly Influential
8 Excerpts

TheNumerical Solution of One-Phase Classical Stefan Problem

  • S. Kutluay, A. R. Bahadir, A. Ozdes
  • Journal of Computational and Applied Mathematics…
  • 1997
Highly Influential
3 Excerpts

The Heat Balance Integral Method

  • D. Langford
  • International Journal of Heat and Mass Transfer…
  • 1973
Highly Influential
4 Excerpts

A Cubic Heat Balance IntegralMethod for One-DimensionalMelting of a Finite Thickness Layer

  • T. G. Myers, S. L. Mitchell, G. Muchatibaya, M. Y. Myers
  • International Journal of Heat and Mass Transfer…
  • 2007
1 Excerpt

Analytical Solution for One-Dimensional Semi-Infinite Heat Transfer Problem with Convection Boundary Condition

  • W. F. Braga, M.B.H. Mantelli, J.L.F. Azevedo
  • AIAA Paper 2005-4686, June 2005. 8 MITCHELL AND…
  • 2005
2 Excerpts

Steady Ablation on the Surface of a Two-Layer Composite

  • Lin, W.-S.
  • International Journal of Heat andMass Transfer…
  • 2005
2 Excerpts

Approximate Analytical Solution for One-Dimensional Finite Ablation Problem with Constant Time Heat Flux

  • W. F. Braga, M.B.H. Mantelli, J.L.F. Azevedo
  • AIAA Paper 2004-2275, June 2004.
  • 2004
1 Excerpt

The Flow and Solidification of a Thin Fluid Film on an Arbitrary Three-Dimensional Surface

  • T. G. Myers, J.P.F. Charpin, S. J. Chapman
  • Physics of Fluids, Vol. 14, No. 8, 2002, pp. 2788…
  • 2002
1 Excerpt

A New Look at the Heat Balance Integral Method

  • A. S. Wood
  • Applied Mathematical Modelling, Vol. 25, 2001, pp…
  • 2001
3 Excerpts

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