An InitialValue Problem for Fully ThreeDimensional Inflectional Boundary Layer flows
Abstract
In a recent paper the present authors considered the effects of small crossflow upon the nonlinear evolution of two oblique waves of unequal amplitude. The present analysis extends this work in two ways: (i) the crossflow is increased to O(1) making it of comparable magnitude to the streamwise component and (ii) by taking the longwavelength limit of Rayleigh's equation a whole spectrum of wave numbers can now be catered for. Thus (ii) allows a fairly general initial disturbance to be accommodated. Another significant effect due to the presence of a whole spectrum of wave numbers is that the critical layer jump is now forced by a quadratic, as opposed to the usual cubic, nonlinearity. Numerical solutions of the new nonlinear amplitude evolution equation are presented for a special class of initial disturbance.
 Publication:

Theoretical and Computational Fluid Dynamics
 Pub Date:
 1998
 DOI:
 10.1007/s001620050103
 Bibcode:
 1998ThCFD..12..131A