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- W2336019380 abstract "ABSTRAC: The governing equations for the description of turbulence with reacting and mixing n-chemical elements described by R. S. Brodkey 1 and E. E. O’Brien 2 are considered. For convenience, we consider a turbulent reaction mixture with two reacting and mixing chemical elements A and B. The reactions are irreversible, isothermic, second order and the type of reactions is A+B→ Product. A brief account of derivation of the equations describing the dynamics of the energy spectrum density functions for the velocity field and the concentration fields A and B derived on using Lewis-Kraichnan 3 space-time version of the Hopf 4 functional formalism and multiple-scale-cumulant-expansion method is given. The equations for spectrum functions of the velocity field and the concentration fields derived on employing multiple-scale-cumulant-expansion method by Joshi N. E. and Meshram M. C. 5 are considered. The equations for spectrum functions are rewritten by using a modified-zero-fourth-order-cumulant-expansion (MZFOCE) approximation method which are first written in dimensionless form and then integrated numerically. The numerical values of the energy of velocity field as well as that of concentration fields are obtained. These values are used to evaluate the statistical quantities describing the turbulence with reacting and mixing chemical elements for large Reynolds numbers up to R=10 6 .The quantities include energy transfer functions of concentration fields , enstropy of the concentration fields, skewness of concentration fields, dissipation energy of concentration fields and Taylor’s micro-scales for concentration fields. We present these in the form of graphs for the representative values of Reynolds number R=10 4 and R=10 6 .The analysis of the numerical values of statistical parameters thus obtained is carried out and the laws governing these quantities are investigated. Also, we discuss the merits and scope of the present closure scheme for studying similar types of turbulent flows." @default.
- W2336019380 created "2016-06-24" @default.
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- W2336019380 date "2012-01-01" @default.
- W2336019380 modified "2023-09-24" @default.
- W2336019380 title "Modified-Zero-Fourth-Order-Cumulant-Expansion Approximation Method for Investigation of Turbulence with Reacting and Mixing Chemical Elements" @default.
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