AN ANALYSIS OF THE FLOW NEAR THE TRAILING EDGE OF A FLAT PLATE USING SERIES TRUNCATION.
CALIFORNIA UNIV BERKELEY DIV OF AERONAUTICAL SCIENCES
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The trailing edge region of a finite flat plate in laminar, incompressible flow is examined for the limit of high Reynolds numbers. It is shown that the trailing edge region is an elliptic region and therefore a correct mathematical description must be based upon the full Navier-Stokes equations. The Method of Series Truncation is used to reduce the full Navier-Stokes equations, written in parabolic coordinates, to an infinite set of non-linear, coupled, ordinary differential equations. Two sets of asymptotic boundary conditions, called simplified and modified boundary conditions, are determined by matching the Navier-Stokes region downstream with Goldsteins near wake solution. By numerical integration the solutions for the first and second truncation are obtained for both sets of asymptotic boundary conditions. Author
- Fluid Mechanics