Stability of heated boundary layers
Abstract
A threedimensional linear stability analysis is presented for twodimensional boundary layer flows. The method of multiple scales is used to derive the amplitude and the wave number modulation equations, which take into account the nonparallelism of the basic flow. The zerothorder eigenvalue problem is numerically integrated to calculate the quasiparallel growth rates which are then integrated together with the nonparallel growth rates along the characteristics of the wave number modulation equations to evaluate the nfactors. The most critical frequency is defined to be the one that yields the nfactor corresponding to transition in the shortest possible distance. This definition is used to evaluate the critical frequency for the Blasius boundary layer, a wedge flow, and an axisymmetric boundary layer. The effect of threedimensional disturbances is evaluated and found to be less critical than twodimensional disturbances. The effect of heating the boundary layer is evaluated for the Blasius, FalknerSkan, and axisymmetric boundary layers.
 Publication:

Ph.D. Thesis
 Pub Date:
 January 1983
 Bibcode:
 1983PhDT........18A
 Keywords:

 Boundary Layer Flow;
 Boundary Layer Stability;
 Temperature Effects;
 Two Dimensional Boundary Layer;
 Two Dimensional Flow;
 Blasius Flow;
 Eigenvalues;
 Heating;
 Pressure Gradients;
 Temperature Distribution;
 Wedge Flow;
 Fluid Mechanics and Heat Transfer