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篇名 慣性效應在楔形版流中影響微粒附著率之研究
卷期 9:4
並列篇名 A Study of Inertial Effect on Particle Deposition in Wedge Flows
作者 蔡瑞益梁龍驥吳明誠
頁次 233-238
關鍵字 慣性效應Falkner-Skan楔相似分析inertial effectFalkner-Skan wedgesimilarity analysis
出刊日期 201410

中文摘要

本文探討,慣性效應在氣流流經楔形板表面時,對微粒附著率的影響。其氣流流場考慮不可壓縮、穩態和層流流經一二維之Falkner-Skan楔形角。求解的方法是以相似分析法將質量、動量和微粒傳輸方程式,轉換成相似和非相似方程式,再輔以箱氏法及消去法,求得速度場和微粒濃度場,並計算微粒附著表面速率。一般慣性作用是影響大微粒(dp ≥ 0.1μm)之主要機制;反之,在小微粒(dp ≤ 0.1μm)則以布朗擴散為主。然而本文發現:在x值小,區域史托克數(Stkx = τμ e / x,是微粒鬆弛時間和微粒之暫態時間的比值)較大時,慣性效應仍顯著的影響微粒附著率。故區域史托克數,仍可用以測量慣性效率之影響。結果發現:在楔形角度60和90度(m = 0.5和1.0)時,微粒之附著率會增加;然而,當楔形角度0和30度(m = 0和0.2)時,附著率則會稍微減少。

英文摘要

A study of inertial effect on particle deposition onto wedge surfaces is reported. The aerosol flow is modeled as an incompressible, steady state and laminar flow over a two-dimensional Falkner-Skan wedge. Governing equations of the conservation of mass, momentum, and particle transport are transformed to be a system of similar and non-similar equations by similarity analysis and solved using box method associated with block-elimination. Usually particle deposition rates are controlled by inertia for particles larger than 1 μm and dominated by Brownian diffusion for small particles () having small relaxation time. However, the inertial effect may be still significance for small particles due to large Stkx, which is the ratio between the particle relaxation time and the transient flow time along the x- coordinate, as x is small. The dimensionless parameter, Stkx, is called the local Stokes number and can measured the inertial effects. Results show that the inertial effect may increase the particle deposition for wedge angles 60 and 90 degrees (m = 0.5 and 1.0) but somewhat decrease for the angles 0 and 30 degrees (m = 0 and 0.2).

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