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Laminar free convection from a vertical plate in partly dissociated gases. (English) Zbl 0971.76083
Summary: Two-dimensional steady free convection from an isothermal vertical plate is studied in a gas where a reversible fast reaction of dissociation $$A\leftrightarrow 2B$$ takes place at atmospheric pressure. The effective properties in the presence of dissociation are evaluated. The governing boundary-layer equations are solved numerically for a wide range of values of the independent variables. All the data obtained are correlated by a single correlation, even if the temperature interval in the boundary layer $$(T_w, T_\infty)$$ is allowed to vary in a wide range, both in relative location and width, in respect to the temperature interval of dissociation. The correlated dimensionless parameters include the ratio $$\rho_w/\rho_\infty$$ and are defined through the mixture effective properties calculated at $$T_w$$ and $$T_\infty$$. The maximum absolute value of relative error depends essentially on two parameters: $$\alpha$$ related to variations of fraction of moles, and effective mass density $$\rho^*$$ in the boundary layer.
MSC:
 76R10 Free convection 76N15 Gas dynamics, general 76V05 Reaction effects in flows 80A20 Heat and mass transfer, heat flow (MSC2010)
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