Obstructed gravity-driven flow down an incline

被引：0
|
作者：
S. J. D. D’Alessio
机构：
[1] University of Waterloo,Faculty of Mathematics
来源：
Acta Mechanica | 2023年 / 234卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This investigation solves the problem of three-dimensional steady gravity-driven flow down an incline and around a two-dimensional cylindrical obstruction using lubrication theory. Both circular and elliptical cylindrical obstructions are considered using specific coordinates suited for the cylinder geometry. A finite difference scheme is proposed, and an asymptotic solution is derived which is used in conjunction with the numerical solution procedure. Good agreement is found with previous results for the case of the circular cylinder, and new results are obtained for the case of the elliptic cylinder.
引用
收藏
页码：3575 / 3594
页数：19
相关论文
共 50 条
  • [1] Obstructed gravity-driven flow down an incline
    D'Alessio, S. J. D.
    [J]. ACTA MECHANICA, 2023, 234 (08) : 3575 - 3594
  • [2] GRAVITY-DRIVEN 2-LAYER FLOW DOWN A SLIGHTLY WAVY PERIODIC INCLINE AT LOW REYNOLDS-NUMBERS
    KANG, F
    CHEN, KP
    [J]. INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 1995, 21 (03) : 501 - 513
  • [3] MODELING GRAVITY-DRIVEN RIVULET ON A MONOTONICALLY VARYING INCLINE
    Isoz, M.
    [J]. CONFERENCE TOPICAL PROBLEMS OF FLUID MECHANICS 2016, 2016, : 75 - 84
  • [4] GRAVITY-DRIVEN REACTIVE COATING FLOW DOWN AN INCLINED PLANE
    QI, Q
    JOHNSON, RE
    [J]. AICHE JOURNAL, 1994, 40 (01) : 2 - 10
  • [5] Gravity-driven flow in a horizontal annulus
    Horsley, Marcus C.
    Woods, Andrew W.
    [J]. JOURNAL OF FLUID MECHANICS, 2017, 830 : 479 - 493
  • [6] ANALYSIS OF GRAVITY-DRIVEN SLURRY FLOW
    Ashrafi, Nariman
    Zeydabadi, Haniyeh
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION - 2012, VOL 7, PTS A-D, 2013, : 1043 - 1049
  • [7] Gravity-driven film flow down a uniformly heated smoothly corrugated rigid substrate
    Daly, G. R.
    Gaskell, P. H.
    Veremieiev, S.
    [J]. JOURNAL OF FLUID MECHANICS, 2021, 930
  • [8] Gravity-driven film flow down an inclined wall with three-dimensional corrugations
    H. Luo
    C. Pozrikidis
    [J]. Acta Mechanica, 2007, 188 : 209 - 225
  • [9] Gravity-driven film flow down an inclined wall with three-dimensional corrugations
    Luo, H.
    Pozrikidis, C.
    [J]. ACTA MECHANICA, 2007, 188 (3-4) : 209 - 225
  • [10] Developing Laminar Gravity-Driven Thin Liquid Film Flow Down an Inclined Plane
    Lan, H.
    Wegener, J. L.
    Armaly, B. F.
    Drallmeier, J. A.
    [J]. JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 2010, 132 (08):
12345