Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (8): 945-952.doi: https://doi.org/10.1007/s10483-013-1719-9

• 论文 • 上一篇    下一篇

Stretching surface in rotating viscoelastic fluid

K. ZAIMI1, A. ISHAK2, I.POP3   

  1. 1. Institute of Engineering Mathematics, Universiti Malaysia Perlis, Arau 02600, Malaysia;
    2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia;
    3. Department of Mathematics, Babe¸s-Bolyai University, Cluj-Napoca 400084, Romania
  • 出版日期:2013-07-15 发布日期:2013-07-15
  • 通讯作者: A. ISHAK E-mail:anuar_mi@ukm.my

Stretching surface in rotating viscoelastic fluid

K. ZAIMI1, A. ISHAK2, I.POP3   

  1. 1. Institute of Engineering Mathematics, Universiti Malaysia Perlis, Arau 02600, Malaysia;
    2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia;
    3. Department of Mathematics, Babe¸s-Bolyai University, Cluj-Napoca 400084, Romania
  • Online:2013-07-15 Published:2013-07-15
  • Contact: A. ISHAK E-mail:anuar_mi@ukm.my

摘要:

The boundary layer flow over a stretching surface in a rotating viscoelastic fluid is considered. By applying a similarity transformation, the governing partial differential equations are converted into a system of nonlinear ordinary differential equations before being solved numerically by the Keller-box method. The effects of the viscoelastic and rotation parameters on the skin friction coefficients and the velocity profiles are thoroughly examined. The analysis reveals that the skin friction coefficients and the velocity in the x-direction increase as the viscoelastic parameter and the rotation parameter increase. Moreover, the velocity in the y-direction decreases as the viscoelastic parameter and the rotation parameter increase.

关键词: Brusselator模型, Hopf分支, 稳定性, 扩散导致Hopf分支, rotating viscoelastic fluid, stretching surface, boundary layer, similarity transformation

Abstract:

The boundary layer flow over a stretching surface in a rotating viscoelastic fluid is considered. By applying a similarity transformation, the governing partial differential equations are converted into a system of nonlinear ordinary differential equations before being solved numerically by the Keller-box method. The effects of the viscoelastic and rotation parameters on the skin friction coefficients and the velocity profiles are thoroughly examined. The analysis reveals that the skin friction coefficients and the velocity in the x-direction increase as the viscoelastic parameter and the rotation parameter increase. Moreover, the velocity in the y-direction decreases as the viscoelastic parameter and the rotation parameter increase.

Key words: Brusselator system, Hopf bifurcation, stability, diffusion-driven Hopf bifurcation, boundary layer, stretching surface, similarity transformation, rotating viscoelastic fluid

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals