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- W344559770 abstract "The generation of heat due to chemical reaction will have a significant effect on the temperature profile and heat transfer within a porous body. Most forms of analysis only consider the symmetris situation or else make use of various assumptions that greatly simplify the analysis, for example: the Semenov or the Frak-kamenetskii models. The objective of this paper is to develop an improved understanding of the thermal behaviour of a porous body with uniform internal heat generation, which is in contact with two fluids at different temperatures and with different heat transfer coefficients. The mathematical representation is a one dimensional Poisson equation with asymmetric boundary conditions. The analytical solution reveals four regimes for heat flow: (a) purely conduction at zero heat generation, (b) a combination of heat flow by conduction through the body between the hot and cold fluids and all heat generated passing to the colder fluid, (c) no heat flow by conduction between the two fluids and all heat generated passing the cold flow - the so-called critical heat generation, and (d) the heat generated passes to both the cold and hot fluids and there is a maximum temperature within the body greater than that of the hot fluid, the so-called supercritical region. Expressions are developed to allow predictions of the conditions pertaining to each regime. This new representation covers the Semenov and Frank-Kamenetskii models and all possible solutions intermediate of the them. Keywords. Frank-Kamenetskii, Semenov, asymmetry, critical heat generation, maximum temperature." @default.
- W344559770 created "2016-06-24" @default.
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- W344559770 date "2007-01-01" @default.
- W344559770 modified "2023-09-27" @default.
- W344559770 title "EFFECT OF CONSTANT AND UNIFORM HEAT GENERATION ON THE THERMAL BEHAVIOUR OF POROUS SOLIDS WITH ASYMMETRIC BOUNDARY CONDITIONS" @default.
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