Quasi-steady Stokes flow of multiphase fluids with shear-dependent viscosity

被引:2
|
作者
Ebmeyer, Carsten
Urbano, Jose Miguel
机构
[1] Univ Bonn, Math Seminar, D-53115 Bonn, Germany
[2] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal
关键词
D O I
10.1017/S0956792507006948
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The quasi-steady power-law Stokes flow of a mixture of incompressible fluids with shear-dependent viscosity is studied. The fluids are immiscible and have constant densities. Existence results are presented for both the no-slip and the no-stick boundary value conditions. Use is made of Schauder's fixed-point theorem, compactness arguments, and DiPerna-Lions renormalized solutions.
引用
收藏
页码:417 / 434
页数:18
相关论文
共 50 条
  • [41] On quasi-steady laminar flow separation in the upper airways
    Van Hirtum, A.
    Cisonni, J.
    Pelorson, X.
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2009, 25 (05): : 447 - 461
  • [42] QUASI-STEADY FLOW AND THRUST IN ACCELERATING NOZZLES AND CHANNELS
    WU, JC
    POTTSEPP, L
    MECHANICAL ENGINEERING, 1965, 87 (06) : 59 - &
  • [43] QUASI-STEADY FLOW OF A ROTATING STRATIFIED FLUID IN A SPHERE
    FRIEDLANDER, S
    JOURNAL OF FLUID MECHANICS, 1976, 76 (JUL28) : 209 - 228
  • [44] QUASI-STEADY FLOW AND THRUST IN ACCELERATING NOZZLES AND CHANNELS
    WU, JC
    POTTSEPP, L
    JOURNAL OF ENGINEERING FOR INDUSTRY, 1966, 88 (01): : 24 - &
  • [45] INCOMPRESSIBLE FLUIDS WITH SHEAR RATE AND PRESSURE DEPENDENT VISCOSITY: REGULARITY OF STEADY PLANAR FLOWS
    Bulicek, M.
    Kaplicky, P.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2008, 1 (01): : 41 - 50
  • [46] The influence of shear-dependent rheology on turbulent pipe flow
    Singh, J.
    Rudman, M.
    Blackburn, H. M.
    JOURNAL OF FLUID MECHANICS, 2017, 822 : 848 - 879
  • [47] A note on the steady flow of Newtonian fluids with pressure dependent viscosity in a rectangular duct
    Akyildiz, F. Talay
    Siginer, Dennis
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2016, 104 : 1 - 4
  • [48] UNSTRUCTURED LATTICE BOLTZMANN METHOD FOR HEMODYNAMIC FLOWS WITH SHEAR-DEPENDENT VISCOSITY
    Janela, J.
    Sequeira, A.
    Pontrelli, G.
    Succi, S.
    Ubertini, S.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2010, 21 (06): : 795 - 811
  • [49] A unified engineering model for steady and quasi-steady shear-driven gas microflows
    Bahukudumbi, P
    Park, JH
    Beskok, A
    MICROSCALE THERMOPHYSICAL ENGINEERING, 2003, 7 (04): : 291 - 315
  • [50] Pulsatile flow of blood with shear-dependent viscosity through a flexible stenosed artery in the presence of body acceleration
    Mukhopadhyay, Subrata
    Mandal, Mani Shankar
    Mukhopadhyay, Swati
    KOREA-AUSTRALIA RHEOLOGY JOURNAL, 2022, 34 (01) : 17 - 33