Starting solutions for some unsteady unidirectional flows of Oldroyd-B fluids

被引:0
|
作者
N. Aksel
M. Scholle
C. Fetecau
机构
[1] University of Bayreuth,Department of Applied Mechanics and Fluid Dynamics
[2] Technical University of Iasi,Department of Mathematics
关键词
Oldroyd-B fluid; starting solution; unsteady unidirectional flows;
D O I
暂无
中图分类号
学科分类号
摘要
Analytical expressions for the velocity fields corresponding to the motions of an Oldroyd-B fluid due to oscillations of an infinite flat plate as well as those induced by an oscillating pressure gradient and pressure jumps are determined by means of the Fourier sine transform. The corresponding solutions for a Maxwell and a Newtonian fluid appear as limiting cases of the solutions established here. Relevant physical properties of the flows and their dependence on material and geometry parameters are discussed.
引用
下载
收藏
页码:815 / 831
页数:16
相关论文
共 50 条
  • [1] Starting solutions for some unsteady unidirectional flows of Oldroyd-B fluids
    Aksel, N.
    Fetecau, C.
    Scholle, M.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2006, 57 (05): : 815 - 831
  • [2] Unsteady helical flows of Oldroyd-B fluids
    Jamil, M.
    Fetecau, C.
    Imran, M.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (03) : 1378 - 1386
  • [3] Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative
    Qi Haitao
    Xu Mingyu
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (11) : 4184 - 4191
  • [4] On some helical flows of Oldroyd-B fluids
    C. Fetecau
    Corina Fetecau
    D. Vieru
    Acta Mechanica, 2007, 189 : 53 - 63
  • [5] On some helical flows of Oldroyd-B fluids
    Fetecau, C.
    Fetecau, Corina
    Vieru, D.
    ACTA MECHANICA, 2007, 189 (1-2) : 53 - 63
  • [6] Unsteady Rotating Flows of Oldroyd-B Fluids with Fractional Derivatives
    Jamil, Muhammad
    Khan, Najeeb Alam
    Asjad, Muhammad Imran
    INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING, 2011, 9
  • [7] ON CORNER FLOWS OF OLDROYD-B FLUIDS
    DAVIES, AR
    DEVLIN, J
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1993, 50 (2-3) : 173 - 191
  • [8] Starting solutions for oscillating motions of Oldroyd-B fluids in cylindrical domains
    Fetecau, Corina
    Hayat, T.
    Fetecau, Constantin
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2008, 153 (2-3) : 191 - 201
  • [9] Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section
    Fetecau, C
    Fetecau, C
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2005, 40 (09) : 1214 - 1219
  • [10] Unsteady helical flows of a generalized Oldroyd-B fluid
    Tong, Dengke
    Zhang, Xianmin
    Zhang, Xinhong
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2009, 156 (1-2) : 75 - 83