The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method

被引:56
|
作者
Sajid, M. [1 ]
Awais, M. [2 ]
Nadeem, S. [2 ]
Hayat, T. [2 ]
机构
[1] PINSTECH, Theoret Plasma Phys Div, Islamabad 44000, Pakistan
[2] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
关键词
Slip effects; Fourth grade fluid; Exact solution; HAM solution; Nonlinear problem;
D O I
10.1016/j.camwa.2008.04.022
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper provides ail investigation regarding slip effects on thin film flow of a fourth grade fluid down a vertical cylinder. The nonlinear problem that arises is solved for both exact and HAM (homotopy analysis method) solutions. Exact and HAM solutions are also compared. Finally we briefly describe the flow characteristics to include the effects of emerging parameters. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2019 / 2026
页数:8
相关论文
共 50 条
  • [1] Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
    Siddiqui, AM
    Mahmood, R
    Ghori, QK
    [J]. PHYSICS LETTERS A, 2006, 352 (4-5) : 404 - 410
  • [2] An Optimal Homotopy Perturbation Approach to Thin Film Flow of a Fourth Grade Fluid
    Marinca, Vasile
    Herisanu, Nicolae
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 2383 - 2386
  • [3] Numerical study of a thin film flow of fourth grade fluid
    Rasheed, Amer
    Nawaz, Rab
    Khan, Sohail Ahmed
    Hanif, Hanifa
    Wahab, Abdul
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2015, 25 (04) : 929 - 940
  • [4] Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane
    Siddiqui, A. M.
    Mahmood, R.
    Ghori, Q. K.
    [J]. CHAOS SOLITONS & FRACTALS, 2008, 35 (01) : 140 - 147
  • [5] On the homotopy solution for Poiseuille flow of a fourth grade fluid
    Hayat, T.
    Naz, Rahila
    Sajid, M.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (03) : 581 - 589
  • [6] Application of homotopy perturbation method to the MHD pipe flow of a fourth grade fluid
    Nojey, A. Ranjbar
    Haghparast, N.
    Miansari, M.
    Ganji, D. D.
    [J]. ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, 2008, 96
  • [7] Thin film flow of a third grade fluid on a moving belt by He's homotopy perturbation method
    Siddiqui, AM
    Mahmood, R
    Ghori, QK
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2006, 7 (01) : 7 - 14
  • [8] Rotating flow of a third grade fluid by homotopy analysis method
    Asghar, S
    Gulzar, MM
    Hayat, T
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 165 (01) : 213 - 221
  • [9] Application of the Homotopy Analysis Method (HAM) to Thin Film Flow of a Generalized Second-Grade Fluid on a Vertically Moving Belt
    Abelman, S.
    Nguetchue, S. N. Neossi
    [J]. CHEMICAL ENGINEERING COMMUNICATIONS, 2012, 199 (10) : 1298 - 1319
  • [10] Homotopy analysis methods with applications to thin-film flow of a magnetohydrodynamic-modified second grade fluid
    Farooq, Muhammad
    Ahmad, Zishan
    Ahmad, Hijaz
    Zeb, Muhammad
    Aouaini, Fatma
    Ayaz, Muhammad
    [J]. MODERN PHYSICS LETTERS B, 2022, 36 (19):