user

Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder

被引：114
|
作者：
Siddiqui, AM
Mahmood, R
Ghori, QK
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
[2] Penn State Univ, Dept Math, York, PA 17403 USA
来源：
PHYSICS LETTERS A | 2006年 / 352卷 / 4-5期
关键词：
thin film flow; fourth grade fluid; perturbation method; homotopy perturbation method;
D O I：
10.1016/j.physleta.2005.12.033
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The present Letter applies the homotopy perturbation method and the traditional perturbation method to obtain analytic approximations of the non-linear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder. Expressions for the velocity, volume flux and average velocity are obtained. Comparison of the results obtained by the two methods reveal that homotopy perturbation method is more effective and easy to use. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：404 / 410
页数：7
相关论文
共 50 条
  • [1] On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
    Hayat, T.
    Sajid, M.
    [J]. PHYSICS LETTERS A, 2007, 361 (4-5) : 316 - 322
  • [2] APROXIMATE ANALYTICAL SOLUTIONS FOR THIN FILM FLOW OF A FOURTH GRADE FLUID DOWN A VERTICAL CYLINDER
    Marinca, Bogdan
    Marinca, Vasile
    [J]. PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2018, 19 (01): : 69 - 76
  • [3] 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
  • [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] The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method
    Sajid, M.
    Awais, M.
    Nadeem, S.
    Hayat, T.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (08) : 2019 - 2026
  • [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] Homotopy analysis method with application to thin-film flow of couple stress fluid through a vertical cylinder
    Farooq, Muhammad
    Ullah, Zia
    Zeb, Muhammad
    Ahmad, Hijaz
    Ayaz, Muhammad
    Sulaiman, Muhammad
    Tearnbucha, Chutarat
    Sudsutad, Weerawat
    [J]. OPEN PHYSICS, 2022, 20 (01): : 705 - 714
  • [9] Homotopy Perturbation Method for Flow of a Third-grade Fluid Through a Vertical Concentric Annulus
    Zeb, Muhammad
    Islam, Saeed
    Siddiqui, Abdul Majeed
    Haroon, Tahira
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2012, 13 (3-4) : 281 - 287
  • [10] Unsteady thin film flow of a fourth grade fluid over a vertical moving and oscillating belt
    Gul, Taza
    Ghani, Fazle
    Islam, S.
    Shah, R. A.
    Khan, I.
    Nasir, Saleem
    Sharidan, S.
    [J]. PROPULSION AND POWER RESEARCH, 2016, 5 (03) : 223 - 235
12345