Journal of the Korean earth science society (한국지구과학회지)

The Korean Earth Science Society (한국지구과학회)
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Dispersion in the Unsteady Separated Flow Past Complex Geometries

복합지형상에서 비정상 박리흐름에 의한 확산

  • Ryu, Chan-Su (Department of Earth Sciences, Chosun University)
  • 류찬수 (조선대학교 지구과학과)
  • Published : 2001.12.31
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Abstract

Separated flows passed complex geometries are modeled by discrete vortex techniques. The flows are assumed to be rotational and inviscid, and a new techlnique is described to determine the stream functions for linear shear profiles. The geometries considered are the snow cornice and the backward-facing step, whose edges allow for the separation of the flow and reattachment downstream of the recirculation regions. A point vortex has been added to the flows in order to constrain the separation points to be located at the edges, while the conformal mappings have been modified in order to smooth the sharp edges and to let the separation points free to oscillate around the points of maximum curvature. Unsteadiness is imposed to the flow by perturbing the vortex location, either by displacing the vortex from the equilibrium, or by imposing a random perturbation with zero mean to the vortex in equilibrium. The trajectories of passive scalars continuously released upwind of the separation point and trapped by the recirculating bubble are numerically integrated, and concentration time series are calculated at fixed locations downwind of the reattachment points. This model proves to be capable of reproducing the trapping and intermittent release of scalars, in agreement with the simulation of the flow passed a snow cornice performed by a discrete multi-vortex model, as well as with direct numerical simulations of the flow passed a backward-facing step. The results of simulation indicate that for flows undergoing separation and reattachment the unsteadiness of the recirculating bubble is the main mechanism responsible for the intense large-scale concentration fluctuations downstream.

복합지형을 지나는 박리흐름(separated flows)들이 와도 이론에 의해 모델링 되었다. 흐름은 비회전성 및 비점성으로 가정하였으며, 선형 시어흐름에 대한 유선함수를 결정하기 위해 새로운 기법이 기술되었다. 지형지물의 형태로는 snow cornice과 backward-facing step을 정의하였으며, 이러한 지형지물의 후미에는 유체의 박리현상과 역류현상(reattachment)이 생긴다. 유체의 박리현상이 지형지물의 가장자리에 발생되게 하기 위해 점 와도를 흐름에 발생시켰고, 지형지물의 가장자리에 있는 뾰족한 부분을 완화하고 최대곡률 부근에서의 섭동운동에 중요한 박리흐름 발생지점의 구속조건을 없애기 위해 conformal mapping을 수정하였다. 와도 발생지점에서 와도를 평형으로부터 이동시키거나, 또는 임의의 섭동을 초기흐름에 가하는 방식으로 섭동을 가하여 비정상흐름을 발생시켰다. 박리지점의 풍상측에서 연속적으로 방출되고, 또한 bubble의 이차순환에 의해 변형된 물질의 궤적들이 수치적으로 적분되었으며, 시간에 대한 농도누적이 역류지점의 풍하측 고정된 지점에서 계산되었다. 본 연구에 사용된 모델은 방출물질의 확산형태와 간헐성을 제대로 다룰 수 있음을 알 수 있으며, 이산적인 방법에 의한 다중-와도모델 및 수치모델의 결과들과도 일치한다. 본 연구에 의하면, 박리 및 역류현상이 있는 유체의 흐름 속에 순환하는 bubble들의 비정상상태(unsteadiness)는 풍하측에서 대규모의 고농도 누적을 일으키는 주요 원인이다.

Keywords

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