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A new method for the calculation of momentum, heat and mass transfer in laminar boundary layer flow



Graduation date: 1967Merk's series solution to the momentum equation for steady\ud two-dimensional or axisymmetrical constant-property laminar\ud boundary layer flow was examined. Solutions were obtained to the\ud differential equations associated with the second term in the series.\ud Calculations using this series were made, and it was found to be unsatisfactory\ud because the second term diverges near the point where\ud the first term becomes imaginary. This phenomenon occurs significantly\ud earlier than the actual separation point in every case studied.\ud A new, formally exact series solution for momentum, heat\ud and mass transfer in steady two- dimensional or axisymmetrical\ud constant-property laminar boundary layers was developed. An approximation\ud was introduced to simplify momentum transfer calculations,\ud and an additional approximation was used for heat and mass\ud transfer. Calculations using this method for momentum transfer\ud with several different external velocity distributions and with both low and high rates of injection at the surface compared well with\ud exact solutions. In every case studied, the present method was significantly\ud more accurate than other approximate methods. Heat and\ud mass transfer calculations compared well with experimental data\ud taken from several investigations. Extensive tables of functions associated\ud with the present method have been compiled

Year: 1967
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