Flow past a cylinder and a sphere in a porous medium within the framework of the Brinkman equation with the Navier boundary condition

被引:23
|
作者
Leont'ev, N. E. [1 ]
机构
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia
基金
俄罗斯基础研究基金会;
关键词
porous medium; Brinkman equation; slip boundary condition; no-slip condition; MODEL; CONVECTION;
D O I
10.1134/S0015462814020112
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Exact analytical solutions of the problem of flow past a sphere and a cylinder in a porous medium are derived within the framework of the Brinkman equationwith the Navier boundary condition. Attention is drawn to the fact that the no-slip condition imposed on the interface between the porous medium and a solid, used, in particular, in the case of the Brinkman equation, must be in the general case replaced by a condition that admits nonzero flow velocity at the boundary.
引用
收藏
页码:232 / 237
页数:6
相关论文
共 50 条
  • [41] A Numerical Study of the Flow Past an Impermeable Sphere Embedded in a Porous Medium
    Juncu, Gheorghe
    TRANSPORT IN POROUS MEDIA, 2015, 108 (03) : 555 - 579
  • [42] Flow of a Newtonian fluid past an impervious sphere embedded in a porous medium
    Barman, B
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1996, 27 (12): : 1249 - 1256
  • [43] MAGNETOHYDRODYNAMIC VISCOUS FLUID FLOW PAST A POROUS SPHERE EMBEDDED IN ANOTHER POROUS MEDIUM
    Ansari, Iftekhar Ahamad
    Deo, Satya
    SPECIAL TOPICS & REVIEWS IN POROUS MEDIA-AN INTERNATIONAL JOURNAL, 2018, 9 (02) : 191 - 200
  • [44] Unsteady boundary layer due to a stretching sheet in a porous medium using brinkman equation model
    Department of Mathematics, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
    不详
    Int. J. Heat Technol., 2006, 2 (111-117):
  • [45] Mixed Convection Flow of Viscoelastic Fluid over a Sphere under Convective Boundary Condition Embedded in Porous Medium
    Kasim, A.R.M.
    Jiann, L.Y.
    Rawi, N.A.
    Ali, A.
    Shafie, S.
    Defect and Diffusion Forum, 2015, 362 : 67 - 75
  • [46] Flow film boiling from a sphere and a horizontal cylinder embedded in porous medium
    Orozco, J.
    Poulikakos, D.
    Gutjahr, M.
    Journal of Thermophysics and Heat Transfer, 1988, 2 (04) : 359 - 364
  • [47] On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition
    Huang, WM
    Yin, JX
    Wang, YF
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (02) : 369 - 377
  • [48] On a Partial Boundary Value Condition of a Porous Medium Equation with Exponent Variable
    Zhan, Huashui
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
  • [49] Fujita Exponent for Porous Medium Equation with Convection and Nonlinear Boundary Condition
    王泽佳
    尹景学
    NortheasternMathematicalJournal, 2003, (04) : 387 - 395
  • [50] Boundary Layer Flow through Darcy-Brinkman Porous Medium in the Presence of Slip Effects and Porous Dissipation
    Kausar, Muhammad Salman
    Hussanan, Abid
    Mamat, Mustafa
    Ahmad, Babar
    SYMMETRY-BASEL, 2019, 11 (05):