Savić, L. (2006). Mixed convection flow past a horizontal plate [Dissertation, Technische Universität Wien]. reposiTUm. https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-18511
The mixed convection flow past a horizontal plate which is aligned under a small angle of attack to a uniform free stream will be considered in a distinguish limit of large Reynolds Re and Grashof number Gr. Two aspects are investigated: the global two-dimensional flow field and the local behavior near the trailing edge.<br /> A hydrostatic pressure difference across the wake induces a correction of the potential flow which influences the inclination of the wake. Thus the wake and the correction of the potential flow have to be determined simultaneously.<br />However, it turns out that solutions exists only if the the angle of attack is sufficiently large.<br />Solutions are computed numerically and the influence of the buoyancy on the lift coefficient is determined.<br />The influence of the buoyancy forces onto the flow near the trailing edge is analyzed in the frame work of the triple deck theory.<br />The flow near the trailing edge can be decomposed into a symmetric and an anti-symmetric part. The symmetric part can be described by the classical triple deck theory (Stewartson 1969 and Messiter 1970), while for the anti-symmetric one, a new (linear) triple deck problem is formulated. However, it turns out that the pressure of the anti-symmetric part is discontinuous at the trailing edge even on the triple deck scale ($x=O({\mbox{Re}} {-\frac{3}{8}})$). Thus new sub-layers of size $x=O({\mbox{Re}} {-\frac{4}{8}})$ and $x=O({\mbox{Re}} {-\frac{5}{8}})$ are introduced to resolve the discontinuity of the pressure.