Creating Reduced Kinetics Models That Satisfy the Entropy Inequality

Author:

Jones Nathan H.1,Cizmas Paul G. A.1,Slattery John C.1

Affiliation:

1. Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843-3141 e-mail:

Abstract

In simulating chemically reacting flows, the differential entropy inequality (the local form of the second law of thermodynamics) must be satisfied in addition to the differential mass, momentum, and energy balances. Previously, we have shown that entropy violations occur when using a global/reduced mechanism. Herein we show that entropy violations also occur when using a detailed/skeletal/reduced mechanism. Using a recent theorem of “Slattery et al. (2011, “Role of Differential Entropy Inequality in Chemically Reacting Flows,” Chem. Eng. Sci., 66(21), pp. 5236–5243),” we illustrate how to modify a reduced chemical kinetics model to automatically satisfy the differential entropy inequality. The numerical solution of a methane laminar flame was improved when using reduced chemical kinetics modified in this way. In addition, an ad hoc temperature limiter is no longer necessary.

Publisher

ASME International

Subject

Mechanical Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Fuel Technology,Nuclear Energy and Engineering

Reference18 articles.

1. Rate-Controlled Constrained-Equilibrium Theory of Chemical Reactions in Complex Systems;Progress Energy Combust. Sci.,1990

2. Entropy Production and Element Conservation in the Quasi-Steady-State Approximation;Combust. Flame,2004

3. Role of Differential Entropy Inequality in Chemically Reacting Flows;Chem. Eng. Sci.,2011

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