Axial MHD Flow of a Generalized Oldroyd-B Fluid Due to Two Oscillating Cylinders

被引：0
|
作者：
Liu, Yaqing [1 ]
Zheng, Liancun [2 ]
Tie, Jun [1 ]
机构：
[1] Beijing Univ Technol, Gengdan Inst, Beijing 101301, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
来源：
PROGRESS IN POWER AND ELECTRICAL ENGINEERING, PTS 1 AND 2 | 2012年 / 354-355卷
关键词：
Axial flow; Oldroyd-B fluid; Exact solutions; Velocity field; CONVECTED MAXWELL FLUID; UNSTEADY HELICAL FLOWS; STARTING SOLUTIONS; CIRCULAR-CYLINDER; PLATE; MODEL;
D O I：
10.4028/www.scientific.net/AMR.354-355.83
中图分类号：
TE [石油、天然气工业]; TK [能源与动力工程];
学科分类号：
0807 ; 0820 ;
摘要：
Axial magnetohydrodynamic (MHD) flows for Oldroyd-B fluid are investigated between two cylinders. The motion of the fluid is produced by the two oscillating cylinders. The fractional calculus approach is introduced to establish the constitutive relationship of a viscolastic fluid. Velocity field and shear stress of the motion are determined in terms of Bessel function and generalized Mittag-Leffler function by using Laplace transform and Hankel transform. The influence of pertinent parameters on the flows is delineated and appropriate conclusions are drawn.
引用
收藏
页码：83 / +
页数：2
相关论文
共 50 条
  • [11] Axial Couette flow of an Oldroyd-B fluid in an annulus
    Jamil, Muhammad
    Khan, Najeeb Alam
    THEORETICAL AND APPLIED MECHANICS LETTERS, 2012, 2 (01) : 012001
  • [12] MHD flows of an Oldroyd-B fluid
    Hayat, T
    Hutter, K
    Asghar, S
    Siddiqui, AM
    MATHEMATICAL AND COMPUTER MODELLING, 2002, 36 (9-10) : 987 - 995
  • [13] MHD Flow of an Oldroyd-B Fluid Through a Porous Channel
    Hayat, Tasawar
    Shehzad, Sabir Ali
    Mustafa, Meraj
    Hendi, Awatif
    INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING, 2012, 10
  • [14] ON ANALYTICAL STUDY OF FACTIONAL OLDROYD-B FLOW IN ANNULAR REGION OF TWO TORSIONALLY OSCILLATING CYLINDERS
    Mahmood, Amir
    THERMAL SCIENCE, 2012, 16 (02): : 411 - 421
  • [15] AXIAL COUETTE FLOW OF A GENERALIZED OLDROYD-B FLUID DUE TO A LONGITUDINAL TIME-DEPENDENT SHEAR STRESS
    Awan, A. U.
    Fetecau, Corina
    Rubbab, Qammar
    QUAESTIONES MATHEMATICAE, 2010, 33 (04) : 429 - 441
  • [16] On exact solutions for some oscillating motions of a generalized Oldroyd-B fluid
    M. Khan
    Asia Anjum
    Haitao Qi
    C. Fetecau
    Zeitschrift für angewandte Mathematik und Physik, 2010, 61 : 133 - 145
  • [17] On exact solutions for some oscillating motions of a generalized Oldroyd-B fluid
    Khan, M.
    Anjum, Asia
    Qi, Haitao
    Fetecau, C.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2010, 61 (01): : 133 - 145
  • [18] THE MHD FLOWS FOR A HEATED GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE
    Liu, Yaqing
    Zheng, Liancun
    Zhang, Xinxin
    Zong, Fenglei
    PROCEEDINGS OF THE ASME INTERNATIONAL HEAT TRANSFER CONFERENCE - 2010, VOL 2: CONDENSATION, CONVECTION, MELTING AND SOLIDIFICATION, 2010, : 383 - 386
  • [19] Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law
    Khan, M.
    Hayat, T.
    Asghar, S.
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2006, 44 (5-6) : 333 - 339
  • [20] MHD flow and heat transfer analysis of fractional Oldroyd-B nanofluid between two coaxial cylinders
    Zhang, Yan
    Jiang, Jinxia
    Bai, Yu
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (10) : 3408 - 3421
12345