Abstract
The elliptic energy equation for steady, two-dimensional incompressible flow over a flat plate with an unheated starting length is analyzed using matched asymptotic expansions where the boundary layer solution has been treated as the outer expansion corresponding to the leading-edge equation as the inner expansion. It has been revealed that the linear velocity profile of flow occurs near the leading-edge of the heated part of the plate. This new technique for solving elliptic-to-parabolic equations involves stretching two different scales for two independent variables in the inner expansion. Results are applicable to the region where boundary layer theory breaks down, which is particularly interesting in microscale heat transfer.
Published Version
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