Accession Number : ADA259845


Title :   Direct Numerical Simulation of Instabilities in Parallel Flow with Spherical Roughness Elements


Descriptive Note : Technical memorandum


Corporate Author : ARMY AVIATION SYSTEMS COMMAND ST LOUIS MO


Personal Author(s) : De Anna, R G


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a259845.pdf


Report Date : Aug 1992


Pagination or Media Count : 36


Abstract : Results from a direct numerical simulation of laminar flow over a flat surface with spherical roughness elements using a spectral-element method are given. The numerical simulation approximates roughness as a cellular pattern of identical spheres protruding from a smooth wall. Periodic boundary conditions on the domain's horizontal faces simulate an infinite array of roughness elements extending in the streamwise and spanwise directions, implies the parallel-flow assumption, and results in a closed domain. A body force, designed to yield the horizontal Blasius velocity in the absence of roughness, sustains the flow. Instabilities above a critical Reynolds number reveal negligible oscillations in the recirculation regions behind each sphere and in the free stream, high-amplitude oscillations in the layer directly above the spheres, and a mean profile with an inflection point near the sphere's crest. The inflection point yields an unstable layer above the roughness (where U(y) 0) and a stable region within the roughness (where U (y) 0). Evidently, the instability begins when the low-momentum or wake region behind an element, being the region most affected by disturbances (purely numerical in this case), goes unstable and moves. In incompressible flow with periodic boundaries, this motion sends disturbances to all regions of the domain.


Descriptors :   *MATHEMATICAL MODELS , *SURFACE ROUGHNESS , *LAMINAR FLOW , VELOCITY , MOTION , BOUNDARY LAYER , SURFACES , PROFILES , WALLS , AMIDES , INCOMPRESSIBLE FLOW , REYNOLDS NUMBER , INSTABILITY , BODIES , ROUGHNESS , FREE STREAM , OSCILLATION , AMPLITUDE , MEAN , RECIRCULATION , BOUNDARY LAYER FLOW , STREAMS , MOMENTUM , TRANSITIONS , WAKE , BOUNDARIES , SPHERES , ARRAYS , PROPAGATION , LAYERS


Subject Categories : Operations Research
      Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE