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
  • [31] Exact solutions in generalized Oldroyd-B fluid
    T. HAYAT
    S. ZAIB
    S. ASGHAR
    A. A. HENDI
    Applied Mathematics and Mechanics(English Edition), 2012, 33 (04) : 411 - 426
  • [32] Exact solutions in generalized Oldroyd-B fluid
    Hayat, T.
    Zaib, S.
    Asghar, S.
    Hendi, A. A.
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2012, 33 (04) : 411 - 426
  • [33] Exact solutions in generalized Oldroyd-B fluid
    T. Hayat
    S. Zaib
    S. Asghar
    A. A. Hendi
    Applied Mathematics and Mechanics, 2012, 33 : 411 - 426
  • [34] Two fast numerical methods for a generalized Oldroyd-B fluid model
    Bu, Weiping
    Yang, Huimin
    Tang, Yifa
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 117
  • [35] Linear stability analysis of flow of an Oldroyd-B fluid through a linear array of cylinders
    Smith, MD
    Joo, YL
    Armstrong, RC
    Brown, RA
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2003, 109 (01) : 13 - 50
  • [36] On Thermal Radiation and Joule Heating Effects in MHD Flow of an Oldroyd-B Fluid with Thermophoresis
    T. Hayat
    Ahmed Alsaedi
    Arabian Journal for Science and Engineering, 2011, 36 : 1113 - 1124
  • [37] MHD THIN FILM OLDROYD-B FLUID WITH HEAT AND VISCOUS DISSIPATION OVER OSCILLATING VERTICAL BELTS
    Fiza, M.
    Islam, S.
    Ullah, H.
    Ali, Z.
    HEAT TRANSFER RESEARCH, 2019, 50 (09) : 839 - 849
  • [38] On Thermal Radiation and Joule Heating Effects in MHD Flow of an Oldroyd-B Fluid with Thermophoresis
    Hayat, T.
    Alsaedi, Ahmed
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2011, 36 (06) : 1113 - 1124
  • [39] Numerical simulations of the Oldroyd-B fluid flow around triangular cylinders with different orientations
    Sun, Fanji
    Wen, Xiaoyu
    Si, Xinhui
    Xie, Chiyu
    Li, Botong
    Cao, Limei
    Zhu, Jing
    Journal of Non-Newtonian Fluid Mechanics, 2024, 326
  • [40] FRACTIONAL MAGNETOHYDRODYNAMICS OLDROYD-B FLUID OVER AN OSCILLATING PLATE
    Jamil, Muhammad
    Khan, Najeeb Alam
    Shahid, Nazish
    THERMAL SCIENCE, 2013, 17 (04): : 997 - 1011