Abstract
Consider the surface of an arbitrary body which is defined in the (x1’ x2’ , x3’) Cartesian (right-handed) reference coordinate system, Fig. 2.1. The boundary-layer coordinate system, a nonorthogonal curvilinear right-handed coordinate system (x1, x2, x3), is defined on the surface of the body. Although the lines x1 = const. and x2 = const. are defined on the surface, the x1- and x2-coordinate need not necessarily be measured along the surface of the body or wing (for details see chapter 10 .) . In general the lines x1 = const. and x2 = const. are non-orthogonal. The x3-coordinate is rectilinear and normal to both, and therefore normal to the surface, too. Thus the (x1, x2, x3)-system is a locally monoclinic coordinate system. x1, x2 - or xα, α = 1, 2 - are the Gaussian surface parameters.
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© 1981 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Hirschel, E.H., Kordulla, W. (1981). First-Order Boundary-Layer Equations. In: Shear Flow in Surface-Oriented Coordinate. Notes on Numerical Fluid Mechanics, vol 4. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-05276-0_2
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DOI: https://doi.org/10.1007/978-3-663-05276-0_2
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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Online ISBN: 978-3-663-05276-0
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