By Thierry Poinsot
ISBN-10: 1930217056
ISBN-13: 9781930217058
Poinset provides uncomplicated ideas and up to date development in numerical combustion whereas developing vital connections with the underlying combustion fundamentals. This publication permits engineers and examine experts with a data of fluid mechanics to maneuver to an built-in realizing of numerical combustion.
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Additional info for Theoretical and Numerical Combustion
Sample text
The thickness of the reaction rate zone in Θ space for this flame is 1/β by construction. The maximum value of the reaction rate is obtained at x = 0 and Θ = Θc = 1 − 1/β and +∞ 1 is ρ1 (β − 1)s2L /Dth . The integral of the reaction rate ( −∞ ω˙ EF dx) is ρ1 sL as expected (see Eq. 24)). Summary of simple flame speed expressions The two previous sections have presented some basic results relating to laminar premixed flames which can be obtained by analytical means. Many more studies have been devoted to similar approaches and provide useful results for numerical combustion.
These equations express simple integral properties of the flame. Eq. 24) shows that all fuel entering the domain (ρ1 YF1 sL ) is burnt downstream in the flame front by ΩF . Eq. 25), 38 CHAPTER 2. iii Now eliminating ΩF between Eq. 28) which provides the adiabatic flame temperature T2 . Eq. 15 K is the reference temperature for formation enthalpies. All species involved in the summation of Eq. 29) are linked by Eq. 30) recovering Eq. 28). e. formation enthalpies ∆hof,k , heat capacities Cp,k and reactants species mass fractions) controls the maximum temperature which can be reached in a premixed flame computation.
52) is easier to solve than for the Arrhenius form given in Eq. 43): suppose that the point where the critical temperature Θc = 1 − 1/β is reached, is fixed at x = ξ = 0. 55) 1 and Dth is the thermal diffusivity of the fresh gas. 3: Assumptions used by Echekki and Ferziger156 and by this text on rate coefficients and heat diffusion coefficient. λ1 is the value of the heat coefficient in the fresh gases. The solution is obtained by first integrating Eq. 56) β For x > 0, the solution is searched under the form 1 − Θ = beΓx .
Theoretical and Numerical Combustion by Thierry Poinsot
by Ronald
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