Weight-function approach for determining watershed initial conditions for combustion waves

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 62, Issue 2, 1999, Pages 195-206

  Watt, S D ^a   Weber, R O ^b   Sidhu, H S ^b   Mercer, G N ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMBUSTION; FUEL CONSUMPTION; IGNITION; MATHEMATICAL MODELS; TEMPERATURE;

COMBUSTION WAVES; WEIGHT FUNCTION APPROACH;

WAVES;

EID: 0032629451     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/62.2.195     Document Type: Article

References (8)

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2. GRAY, B. R, GRIFFITHS, J. F., & HASKO, S. M. 1984 Spontaneous ignition of hazards in stockpiles of cellulosic materials: Criteria for safe storage. J. Chem. Tech. and Biotechnology 34, 453-464.
3. GRAY, B. F. & WAKE, G. C. 1993 Critical initial conditions for thermal ignition. Math. Comput. Modelling 18(8), 65-75.
4. LACEY, A. A. 1983 Mathematical analysis of thermal runaway for spatially inhomegenous reactions. SIAM J. Appl. Math. 43, 1350-1366.
5. NUMERICAL ALGORITHM GROUP 1995 'NAG Fortran 77 Library Mark 17'.
6. WEBER, R. O., MERCER, G. N., GRAY, B. F., & WATT, S. D. 1994 Combustion waves: non-adiabatic. Modeling in Combustion Science, ed. J. Buckmaster & T. Takenko. Berlin: Springer.
7. WEBER, R. O., MERCER, G. N., SIDHU, H. S., & GRAY, B. F. 1997 Combustion waves for gases (Le = 1) and solids (Le → ∞). Proc. R. Soc. A 453, 1105-1118.
8. WILLIAMS, R A. 1985 Combustion Theory. Menlo Park: Benjamin-Cummings.