Role of differential entropy inequality in chemically reacting flows Academic Article

abstract

• To our knowledge, today the differential entropy inequality appears to be always ignored in simulating chemically reacting flows. In addition to satisfying the differential mass, momentum, and energy balances, simulations of chemically/biochemically reacting systems must satisfy the entropy inequality (the second law of thermodynamics). Common types of material behavior (Newton's law of viscosity, Fourier's law, Fick's first law) satisfy the differential entropy inequality automatically, but common empirical descriptions of chemical/biochemical reactions do not. The issue is illustrated with three examples including a laminar methane flame for which data are available from the literature. 2011 Elsevier Ltd.

authors

• Cizmas, Paul
• Karpetis, Adonios

published proceedings

• CHEMICAL ENGINEERING SCIENCE

author list (cited authors)

• Slattery, J. C., Cizmas, P., Karpetis, A. N., & Chambers, S. B.

citation count

• 6

complete list of authors

• Slattery, John C||Cizmas, Paul GA||Karpetis, Adonios N||Chambers, Steven B

publication date

• January 2011

publisher

• Elsevier  Publisher

published in

• Chemical Engineering Science  Journal

keywords

• Chemically Reacting Flows
• Differential Entropy Inequality
• Laminar Flame
• Second Law Of Thermodynamics
• Stirred Tank Reactor
• Temperature Limiter

Digital Object Identifier (DOI)

• 10.1016/j.ces.2011.07.017

start page

• 5236

end page

• 5243

volume

• 66

issue

• 21

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.ces.2011.07.017

user-defined tag

• 10 Reduced Inequalities