Calculation of the twodimensional, incompressible, transitional boundary layers on curved surfaces
Abstract
The effect of surface curvature on laminar/turbulent transition in boundary layers is investigated and computed for a turbine cascade by means of an implicit finite difference procedure. The basic equations including the turbulent kinetic energy equation for steady, incompressible and basically twodimensional flow are presented in curvilinear, orthogonal coordinates and completed by empirical closure assumptions. An essential feature of the method is the introduction of a parameter which varies in the flow direction and determines the development of the characteristic lengths in the transition region. Furthermore, different damping coefficients for dissipation processes and turbulent stresses in the transition region and the viscous sublayer are discussed. This method makes it possible to determine the continuous development of the wall shear stress as a function of a prescribed free stream turbulence as far as the turbulent separation point.
 Publication:

Zeitschrift fur Flugwissenschaften und Weltraumforschung
 Pub Date:
 August 1984
 Bibcode:
 1984ZFlWe...8..249G
 Keywords:

 Boundary Layer Transition;
 Cascade Flow;
 Flow Geometry;
 Incompressible Flow;
 Turbulent Boundary Layer;
 Two Dimensional Flow;
 Computational Fluid Dynamics;
 Finite Difference Theory;
 Laminar Flow;
 Spherical Coordinates;
 Surface Geometry;
 Turbine Blades;
 Fluid Mechanics and Heat Transfer