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Correlations of the transport property estimates of NASA TR R-50 are employed to determine locally similar solutions of the laminar boundary-layer equations for air in chemical equilibrium. Exact solutions for flat-plate flow, axisymmetric stagnation flow, and stagnation flow for yawed infinite cylinder are obtained, and a correlation formula for the heat-transfer distribution function for arbitrary favorable pressure gradient is determined. Extension to three-dimensional flows with small cross flow is briefly described.