The analysis of chemical time scales in a partial oxidation flame

Abstract Time scale analysis is a well-established method in combustion science to identify slow and fast processes, but is also required for multi-scale modeling of turbulence-chemistry interaction. Models such as flamelet are based on scale separation arguments, which require a suitable definition of chemical time scales. In this article we study different time scale definitions. Two definitions previously published in the literature as well as two new definitions are investigated in detail. Most time scales require the computation of the eigenvalues of the chemical Jacobian, which is computationally expensive especially for larger chemical reaction mechanisms. One of the new definitions also requires the Jacobian of the chemical source term, whereas the computation of the second newly proposed time scale is computationally straight-forward since neither one is needed. We evaluate the four methods on a simple one-step reacting system and a partial oxidation flame which combines an oxy-fuel type reaction and a fuel-rich reforming post flame zone. Most of the considered time scale definitions provide similar results whereas the computational effort differs significantly

Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems

Distributed optimal control problems, Mixed control-state constraints, Adaptive finite elements, Posteriori error analysis,

Effect of sibutramine on cardiovascular outcomes in overweight and obese subjects.

BACKGROUND: The long-term effects of sibutramine treatment on the rates of cardiovascular events and cardiovascular death among subjects at high cardiovascular risk have not been established. METHODS: We enrolled in our study 10,744 overweight or obese subjects, 55 years of age or older, with preexisting cardiovascular disease, type 2 diabetes mellitus, or both to assess the cardiovascular consequences of weight management with and without sibutramine in subjects at high risk for cardiovascular events. All the subjects received sibutramine in addition to participating in a weight-management program during a 6-week, single-blind, lead-in period, after which 9804 subjects underwent random assignment in a double-blind fashion to sibutramine (4906 subjects) or placebo (4898 subjects). The primary end point was the time from randomization to the first occurrence of a primary outcome event (nonfatal myocardial infarction, nonfatal stroke, resuscitation after cardiac arrest, or cardiovascular death). RESULTS: The mean duration of treatment was 3.4 years. The mean weight loss during the lead-in period was 2.6 kg; after randomization, the subjects in the sibutramine group achieved and maintained further weight reduction (mean, 1.7 kg). The mean blood pressure decreased in both groups, with greater reductions in the placebo group than in the sibutramine group (mean difference, 1.2/1.4 mm Hg). The risk of a primary outcome event was 11.4% in the sibutramine group as compared with 10.0% in the placebo group (hazard ratio, 1.16; 95% confidence interval [CI], 1.03 to 1.31; P=0.02). The rates of nonfatal myocardial infarction and nonfatal stroke were 4.1% and 2.6% in the sibutramine group and 3.2% and 1.9% in the placebo group, respectively (hazard ratio for nonfatal myocardial infarction, 1.28; 95% CI, 1.04 to 1.57; P=0.02; hazard ratio for nonfatal stroke, 1.36; 95% CI, 1.04 to 1.77; P=0.03). The rates of cardiovascular death and death from any cause were not increased. CONCLUSIONS: Subjects with preexisting cardiovascular conditions who were receiving long-term sibutramine treatment had an increased risk of nonfatal myocardial infarction and nonfatal stroke but not of cardiovascular death or death from any cause. (Funded by Abbott; ClinicalTrials.gov number, NCT00234832.