%0 Journal Article %1 Bankston1970319 %A Bankston, C.A. %A McEligot, D.M. %D 1970 %J International Journal of Heat and Mass Transfer %K 1970 heat-transfer laminar turbulent %N 2 %P 319 - 344 %R 10.1016/0017-9310(70)90110-9 %T Turbulent and laminar heat transfer to gases with varying properties in the entry region of circular ducts %U http://dx.doi.org/10.1016/0017-9310(70)90110-9 %V 13 %X 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 (qwGcp,iTi) = 0·02. Predictions for several turbulent transport models are compared to an experiment with a peak wall temperature ratio (TwTi) 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.

@article{Bankston1970319, 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 (qwGcp,iTi) = 0·02. Predictions for several turbulent transport models are compared to an experiment with a peak wall temperature ratio (TwTi) 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.}, added-at = {2012-04-26T10:47:39.000+0200}, author = {Bankston, C.A. and McEligot, D.M.}, biburl = {https://www.bibsonomy.org/bibtex/2e15b120248e5701533d4da73cfb42f8f/thorade}, description = {ScienceDirect.com - International Journal of Heat and Mass Transfer - Turbulent and laminar heat transfer to gases with varying properties in the entry region of circular ducts}, doi = {10.1016/0017-9310(70)90110-9}, interhash = {4312fbe2c1c09df47060605159f1cbce}, intrahash = {e15b120248e5701533d4da73cfb42f8f}, issn = {0017-9310}, journal = {International Journal of Heat and Mass Transfer}, keywords = {1970 heat-transfer laminar turbulent}, number = 2, pages = {319 - 344}, timestamp = {2012-04-26T10:47:39.000+0200}, title = {Turbulent and laminar heat transfer to gases with varying properties in the entry region of circular ducts}, url = {http://dx.doi.org/10.1016/0017-9310(70)90110-9}, volume = 13, year = 1970 }