Abstract
A numerical method is developed to solve the coupled boundary layer equations for turbulent flow of a gas with large property variations in a circular tube. Uniform and fully developed entering velocity profiles are treated. Axial variation of the heating rate is permitted and is used for comparison with experiments. Cases treated include: (1) constant fluid properties, laminar flow with variation of hydrodynamic entrance length; (2) variable, idealized air properties with uniform laminar entering velocity profile; (3) constant properties, fully developed turbulent flow in the immediate thermal entry region; (4) constant fluid properties, turbulent flow, with uniform entering velocity profile; (5) variable, idealized air properties and real gas properties, turbulent flow at heating rates to ( q w Gc p,iT i ) = 0·02 . Predictions for several turbulent transport models are compared to an experiment with a peak wall temperature ratio ( T w T i ) of about 12, and the model yielding the closest agreement in the thermal entry region, a version of van Driest's mixing-length model, is used for further predictions.
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