Graduate Thesis Or Dissertation
 

Estimation of momentum, heat and mass transfer in laminar boundary layers

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/2227mt69c

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  • Sisson's formally exact series solution for momentum, heat and mass transfer in steady two-dimensional or axi-symmetrical constant-property, laminar boundary layer flow was examined. A new series was proposed for the boundary condition accounting for the mass transfer at the surface of the body on which the boundary layer is formed. This series circumvents certain anomalies experienced by the original method and improves the accuracy of the solutions for those flows with suction occurring at the wall. The perturbation theory upon which the original method was based was examined. It was found that the treatment followed in the original work was the better of the two alternatives available. The theory was developed to extend Sisson's formally exact series solution method to flows with a non-constant wall temperature. This new theory yields a more general heat and mass transfer similar flow equation, which contains a temperature parameter that is of the same form as the β parameter in the general momentum similar equation. This general heat and mass transfer similar flow equation was solved for a wide range of the new parameter, the 1 parameter and the mass flux parameter K. An approximation was introduced for simplifying practical calculations. Calculations using this extended method agreed well with the exact solutions with which they were compared. In addition, many flows not considered by Sisson were shown to be accurately solved with the original method. The method of Sisson was found to agree with exact theory for limits of large suction and limits of small Prandtl or Schmidt numbers with little or no mass transfer at the wall. The exact limit of large Prandtl or Schmidt numbers with little or no mass transfer at the surface was approached very closely by the Sisson similar method. A rapid, general, approximate method for the calculation of an average Nusselt number was investigated. It was found to be quite accurate for a wide range of flow conditions.
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