Quasi-Steady Diffusion Flame Theory with Variable Specific Heats and Transport Coefficients

Chung King Law, H. K. Law

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A theory is developed to account for the variable nature of the specific heats C and the transport coefficients of thermal and mass diffusion, A and D, in quasi-steady one-dimensional diffusion flames, using bipropellant droplet combustion as an illustration. In the theory C, A and D are all temperature dependent whereas C and A are further concentration-weighted; consequently all the existing variable-property droplet combustion models are special cases of the present generalized model. By allowing these coefficients to assume realistic functional forms, explicit expressions are derived for the concentration-weighted coefficients, the temperature and species profiles, the mass burning rate, and the flame-front standoff ratio. Predicted results yield improved, yet much less ambiguous, agreement with experimental observations. Finally it is shown that such good agreement can also be achieved by utilizing a simplified, temperature-independent, model and by evaluating the concentration-weighted coefficients at the arithmetic mean of the boundary temperatures in each diffusive-convective region.

Original languageEnglish (US)
Pages (from-to)207-216
Number of pages10
JournalCombustion science and technology
Issue number4-6
StatePublished - Apr 1 1976

All Science Journal Classification (ASJC) codes

  • General Chemistry
  • General Chemical Engineering
  • Fuel Technology
  • Energy Engineering and Power Technology
  • General Physics and Astronomy


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