Unsteady vaporization of liquid droplet
Author:
H. H. Chiu
Journal:
Quart. Appl. Math. 29 (1971), 421-437
DOI:
https://doi.org/10.1090/qam/99754
MathSciNet review:
QAM99754
Full-text PDF Free Access
Abstract |
References |
Additional Information
Abstract: The development of the temperature and concentration profiles in the vicinity of a vaporizing liquid droplet exposed to a hot gas, when Soret and Dufour numbers are finite, is examined under linearized theory consisting of two coupled diffusion equations.
F. A. Williams, Combustion theory, 1st ed., Addison-Wesley, Reading, Mass. 1965, Chaps. 3, 10
F. E. Fendell, Decompositicnal burning of a droplet in a small Péclet number flow, AIAA J. 6, 1946–1953 (1968)
F. E. Fendell, D. E. Coats and B. E. Smith, Compressible slow viscous flow past a vaporizing droplet, AIAA J. 6, 1953–1960 (1968)
H. H. Chiu, Dynamics of the deformation of liquid droplet, Astronautica Acta (to appear) ARL 69-0065 Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force, April 1969
S. Chapman and T. G. Cowling, The mathematical theory of non-uniform gases, Cambridge Univ. Press, Cambridge, 1953, Notes D.C.D. and E
H. Y. Lu and H. H. Chiu, Dynamics of gases containing evaporable liquid droplets under a normal shock, AIAA J. 4, 1008–1011 (1966)
R. Panton and A. K. Oppenheim, Shock relaxation in a particle-gas mixture with mass transfer between phases, AIAA J. 6, 2071–2077 (1968)
F. A. Williams, On the assumptions underlying droplet vaporization and combustion theory, J. Chem. Phys. 33, 133 (1960)
Th. von Kármán, Selected combustion problems, II, AGARD Butterworth Scientific Publications, London 1956, pp. 167–184.
A. V. Luikov and Ju. A. Mikhailov, Theory of energy and mass transfer, Pergamon Press, New York, 1965
- H. H. Chiu, Theory of irreducible operators of linear systems, Quart. Appl. Math. 27 (1969), 87–104. MR 244596, DOI https://doi.org/10.1090/S0033-569X-1969-0244596-6
- H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford, at the Clarendon Press, 1947. MR 0022294
F. A. Williams, Combustion theory, 1st ed., Addison-Wesley, Reading, Mass. 1965, Chaps. 3, 10
F. E. Fendell, Decompositicnal burning of a droplet in a small Péclet number flow, AIAA J. 6, 1946–1953 (1968)
F. E. Fendell, D. E. Coats and B. E. Smith, Compressible slow viscous flow past a vaporizing droplet, AIAA J. 6, 1953–1960 (1968)
H. H. Chiu, Dynamics of the deformation of liquid droplet, Astronautica Acta (to appear) ARL 69-0065 Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force, April 1969
S. Chapman and T. G. Cowling, The mathematical theory of non-uniform gases, Cambridge Univ. Press, Cambridge, 1953, Notes D.C.D. and E
H. Y. Lu and H. H. Chiu, Dynamics of gases containing evaporable liquid droplets under a normal shock, AIAA J. 4, 1008–1011 (1966)
R. Panton and A. K. Oppenheim, Shock relaxation in a particle-gas mixture with mass transfer between phases, AIAA J. 6, 2071–2077 (1968)
F. A. Williams, On the assumptions underlying droplet vaporization and combustion theory, J. Chem. Phys. 33, 133 (1960)
Th. von Kármán, Selected combustion problems, II, AGARD Butterworth Scientific Publications, London 1956, pp. 167–184.
A. V. Luikov and Ju. A. Mikhailov, Theory of energy and mass transfer, Pergamon Press, New York, 1965
H. H. Chiu, Theory of irreducible operators of linear systems, Quart. Appl. Math. 27, 87–104 (1969)
H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids, Oxford Univ. Press, Oxford, 1959
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Article copyright:
© Copyright 1971
American Mathematical Society
