Exact solutions for generalized Maxwell fluid flow due to oscillatory and constantly accelerating plate

被引：69
|
作者：
Zheng, Liancun [1 ]
Zhao, Fangfang [1 ]
Zhang, Xinxin [2 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Mech Engn, Beijing 100083, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期
关键词：
Generalized Maxwell fluid; Exact solutions; Laplace transform; G and R functions; OLDROYD-B FLUID; MODEL;
D O I：
10.1016/j.nonrwa.2010.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the analytical solutions for generalized Maxwell fluid flow due to oscillatory and constantly accelerating plate. The fractional calculus approach is used to establish the constitutive relationship of fluid model. Exact solutions are presented for the velocity field and the corresponding shear stress in series forms in terms of generalized G and R functions by using the discrete inverse Laplace transform method. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3744 / 3751
页数：8
相关论文
共 50 条
  • [41] Exact solutions of MHD second Stokes flow of generalized Burgers fluid
    M. Khan
    R. Malik
    A. Anjum
    Applied Mathematics and Mechanics, 2015, 36 : 211 - 224
  • [42] Exact solutions of MHD second Stokes flow of generalized Burgers fluid
    M.KHAN
    R.MALIK
    A.ANJUM
    Applied Mathematics and Mechanics(English Edition), 2015, 36 (02) : 211 - 224
  • [43] Exact solutions of MHD second Stokes flow of generalized Burgers fluid
    Khan, M.
    Malik, R.
    Anjum, A.
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (02) : 211 - 224
  • [44] Flow of a Maxwell fluid between two side walls due to a suddenly moved plate
    Hayat, T.
    Fetecau, C.
    Abbas, Z.
    Ali, N.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (05) : 2288 - 2295
  • [45] EXACT SOLUTIONS FOR THE FLOW OF A GENERALIZED OLDROYD-B FLUID INDUCED BY A SUDDENLY MOVED PLATE BETWEEN TWO SIDE WALLS PERPENDICULAR TO THE PLATE
    Fetecau, Corina
    Khan, Masood
    Fetecau, Constantin
    Qi, Haitao
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2010, 11 (01): : 3 - 10
  • [46] Generalized Couette Flow of a Third-Grade Fluid with Slip: The Exact Solutions
    Ellahi, Rahmat
    Hayat, Tasawar
    Mahomed, Fazal Mahmood
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (12): : 1071 - 1076
  • [47] Exact analytical solutions for a longitudinal flow of a fractional Maxwell fluid between two coaxial cylinders
    Awan, A. U.
    Imran, M.
    Athar, M.
    Kamran, M.
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2013, 45 : 9 - 23
  • [48] Exact solution for intrinsic nonlinearity in oscillatory shear from the corotational Maxwell fluid
    Poungthong, P.
    Giacomin, A. J.
    Saengow, C.
    Kolitawong, C.
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2019, 265 : 53 - 65
  • [49] Exact Solutions for an Unsteady Flow of Viscoelastic Fluid in Cylindrical Domains Using the Fractional Maxwell Model
    Khandelwal K.
    Mathur V.
    International Journal of Applied and Computational Mathematics, 2015, 1 (1) : 143 - 156
  • [50] MHD Flow and Heat Transfer of a Generalized Burgers' Fluid Due to an Exponential Accelerating Plate with Effects of the Second Order Slip and Viscous Dissipation
    Zhang, Yan
    Zhao, Hao-Jie
    Bai, Yu
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 67 (06) : 697 - 703
12345