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Comparison of Three Inner‐Variable Approaches to Establish an Accurate Method for Turbulent Boundary Layers

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An inner‐variable integral theory was derived for solving incompressible two‐dimensional turbulent boundary layers. This new derivation incorporated major improvements to the earlier inner‐variable approach of White (1974) and Das and White (1986) by including a better wake function and a superior pressure gradient‐wake correlation. Initially, the derivation from the first principle led to three nonlinear ordinary differential equations that must be solved simultaneously to yield important boundary layer parameters. Subsequently, to simplify the theory, it was systematically reduced in two steps: first to a two‐equation method, and next to a one‐equation method. Then comparisons were carried out among the three methods using well‐established experimental data from a wide range of flows. The two‐equation method gave the best overall performance and was selected as the standard method. Finally, it was tested against additional experiments, giving reliable predictions against eleven different experimental flows under diverse flow conditions.
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Document Type: Research Article

Publication date: April 1, 2004

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  • The Naval Engineers Journal is the peer-reviewed journal of the American Society of Naval Engineers (ASNE). ASNE is the leading professional engineering society for engineers, scientists and allied professionals who conceive, design, develop, test, construct, outfit, operate and maintain complex naval and maritime ships, submarines and aircraft and their associated systems and subsystems.
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