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University of Nebraska - Lincoln

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Articles 331 - 332 of 332

Full-Text Articles in Chemical Engineering

Convective Regimes In Reactive Fluid Media Due To The Interaction With Catalytic Surfaces, Hendrik J. Viljoen, Jorge E. Gatica, Vladimir Hlavacek Feb 1989

Convective Regimes In Reactive Fluid Media Due To The Interaction With Catalytic Surfaces, Hendrik J. Viljoen, Jorge E. Gatica, Vladimir Hlavacek

Papers in Reaction Kinetics

Reactive fluid media enclosed in a cavity with a catalytic surface are analyzed. Nonisothermal chemical reactions on this surface can lead to convective instabilities. A simplified model is developed by using a low-order truncation of a Fourier-type expansion and employing the Galerkin method. A linear stability analysis is presented and it is shown that, under certain conditions, the marginal curve for the onset of oscillatory instabilities can lie below that for monotonic ones. The stability of the convective modes is studied by nonlinear stability analysis and it is shown how they can evolve into periodic and nonperiodic motion patterns. Numerical …


Chemically Driven Convection In A Porous Medium, Hendrik J. Viljoen, V. Hlavacek Aug 1987

Chemically Driven Convection In A Porous Medium, Hendrik J. Viljoen, V. Hlavacek

Papers in Chemical Reactions

This paper is focused on the analysis of interaction of free convection and exothermic chemical reaction. As a consequence of the chemical reaction, free convection effects can result. It is difficult to perform an analytical bifurcation analysis of the full nonlinear governing equations; however, Fourier expansion combined with a Galerkin approximation results in a small set of ordinary nonlinear differential equations (initial value problem) that are amenable to analysis. Conditions for branching of the solution can be determined in an analytical way. A continuation algorithm makes it possible to calculate the branches of stability. The results of the approximate analysis …