Fife, P
1992
Fife, P.
Theoretical and Computational Fluid Dynamics, 4:51-70. Funded by National Science Foundation and ACERC.
Fully developed turbulent flow through straight ducts is considered. An analysis in a Reynolds stress principal-axis coordinate frame is performed with the aim of clarifying the main mechanisms responsible for turbulence-driven secondary (transverse) mean flow in noncircular ducts. Together with this, some basic properties of that flow are deduced.
1989
Fife, P.; Hastings, S. and Lu, C.
Accepted for publication in SIAM J. Appl. Math., 1989. Funded by National Science Foundation.
A full analysis is given for planar steady flames under the following model chemistry:
A + B > 2B
2B > Products
The analysis is asymptotic, based on large activation energy of the first reaction, and the smallness of a certain other parameter. This is followed by a mathematically rigorous analysis justifying the asymptotics. Of especial interest is the regime where the first reversible reaction is in partial equilibrium. Parameter values leading to that regime are delineated. The forward first reaction can be either exothermic or endothermic.