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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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