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Tables for boundary-layer thicknesses of similar compressible laminar flow
Authors:Yoon Y. Bae  George Emanuel
Affiliation:1. Korea Atomic Energy Research Institute, Dukjin 150, Yusung, 305-353, Taejon, Korea
2. The University of Oklahoma, 73019, Norman, Oklahoma, USA
Abstract:Similarity solution of the compressible, laminar boundary-layer equation depends on pressure gradient parameter β and wall to inviscid stagnation temperature ratiog w . However, the derived quantities, such as various thicknesses, also depend on speed parameter S, thereby requiring three dimensional tables for the tabulated results. A new formulation is provided that enables all quantities of interest to be determined by the two-dimensional tables in which β andg w are the input parameters. With such a set, accurate values can be found for the skin-friction coefficient, Stanton number, and the five most common viscous and thermal boundary-layer thicknesses for arbitrary values of the speed parameter. A comprehensive set of tables is provided in which β ranges from its separation value to 100 andg w ranges 0 to 5. Quasi-linearization method is applied to the governing equations and generalized Newton-Raphson method is used to obtain successive initial condition. As a result computation time is reduced significantly.
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