Unsteady flow of an oscillating porous disk and a fluid at infinity

被引:15
|
作者
Hayat, T [1 ]
Asghar, S
Siddiqui, AM
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] Penn State Univ, Dept Math, York, PA 17403 USA
关键词
viscous flow; non-coaxial rotation; oscillating porous disk;
D O I
10.1023/A:1004751322961
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
An exact analytic solution of the unsteady Navier-Stokes equations is obtained for the flow caused by the non-coaxial rotations of a porous disk and a fluid at infinity. The porous disk is executing oscillations in its own plane with superimposed injection or suction. An increasing or decreasing velocity amplitude of the oscillating porous disk is also discussed. Further, it is shown that a combination of suction/injection and decreasing/increasing velocity amplitude is possible as well. In addition, the flow due to porous oscillating disk and a fluid at infinity rotating about an axis parallel to the z-axis is attempted as a second problem.
引用
收藏
页码:259 / 265
页数:7
相关论文
共 50 条
  • [31] STEADY FLOW OF A FOURTH GRADE FLUID IN A POROUS MEDIUM
    Hayat, T.
    Noreen, S.
    Sajid, M.
    JOURNAL OF POROUS MEDIA, 2010, 13 (01) : 67 - 74
  • [32] Unsteady flow and heat transfer of a second grade fluid over a stretching sheet
    Sajid, M.
    Ahmad, I.
    Hayat, T.
    Ayub, M.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (01) : 96 - 108
  • [33] Closed-Form Solutions of Unsteady Two-Fluid Flow in a Tube
    Liu, J.
    Wang, C. Y.
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2019, 14 (01): : 586 - 601
  • [34] Unsteady Flow and Heat Transfer Characteristics of Fluid Flow Over a Shrinking Permeable Infinite Long Cylinder
    Elnajjar, Emad J.
    Al-Mdallal, Qasem M.
    Allan, Fathi M.
    JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2016, 138 (09):
  • [35] Double Convection of Unsteady MHD Non-coaxial Rotation Viscous Fluid in a Porous Medium
    Ahmad Qushairi Mohamad
    Ilyas Khan
    Lim Yeou Jiann
    Sharidan Shafie
    Zaiton Mat Isa
    Zulkhibri Ismail
    Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 2117 - 2139
  • [36] Double Convection of Unsteady MHD Non-coaxial Rotation Viscous Fluid in a Porous Medium
    Mohamad, Ahmad Qushairi
    Khan, Ilyas
    Jiann, Lim Yeou
    Shafie, Sharidan
    Isa, Zaiton Mat
    Ismail, Zulkhibri
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (04) : 2117 - 2139
  • [37] Effects of suction/injection on unsteady reactive variable viscosity non-Newtonian fluid flow in a channel filled with porous medium and convective boundary conditions
    Rundora, L.
    Makinde, O. D.
    JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2013, 108 : 328 - 335
  • [38] Exact solutions for unsteady free convection flow over an oscillating plate due to non-coaxial rotation
    Mohamad, Ahmad Qushairi
    Khan, Ilyas
    Ismail, Zulkhibri
    Shafie, Sharidan
    SPRINGERPLUS, 2016, 5
  • [39] Analysis of unsteady flow of a variable viscosity reactive fluid in a slit with wall suction or injection
    Makinde, O. D.
    Chinyoka, T.
    JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2012, 94-95 : 1 - 11
  • [40] Unsteady Flow of a Carreau Fluid over a Shrinking Cylinder in the Occurrence of Various Parameter Effects
    Gopal, D.
    Kishan, N.
    INTERNATIONAL CONFERENCE ON MULTIDIMENSIONAL ROLE OF BASIC SCIENCE IN ADVANCED TECHNOLOGY (ICMBAT 2018), 2019, 2104