Slip effects on MHD flow of a generalized Oldroyd-B fluid with fractional derivative

被引：107
|
作者：
Zheng, Liancun [1 ]
Liu, Yaqing [1 ,2 ]
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 | 2012年 / 13卷 / 02期
关键词：
Slip condition; MHD flow; Oldroyd-B fluid; Fox H-function; CONSTANTLY ACCELERATING PLATE; PERISTALTIC TRANSPORT; VISCOELASTIC FLUID; STOKES; WALL;
D O I：
10.1016/j.nonrwa.2011.02.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents an analysis for magnetohydrodynamic (MHD) flow of an incompressible generalized Oldroyd-B fluid inducing by an accelerating plate. Where the no-slip assumption between the wall and the fluid is no longer valid. The fractional calculus approach is introduced to establish the constitutive relationship of a viscoelastic fluid. Closed form solutions for velocity and shear stress are obtained in terms of Fox H-function by using the discrete Laplace transform of the sequential fractional derivatives. The solutions for no-slip condition and no magnetic field can be derived as the special cases. Furthermore, the effects of various parameters on the corresponding flow and shear stress characteristics are analyzed and discussed in detail. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：513 / 523
页数：11
相关论文
共 50 条
  • [1] Accelerating mhd flow of a generalized oldroyd-b fluid with fractional derivative
    Gengdan Institute of Beijing University of Technology, Beijing
    101301, China
    不详
    052165, China
    [J]. Front. Heat Mass Transf., 1
  • [2] Unsteady MHD Couette flow of a generalized Oldroyd-B fluid with fractional derivative
    Liu, Yaqing
    Zheng, Liancun
    Zhang, Xinxin
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 443 - 450
  • [3] THE MHD FLOWS FOR A HEATED GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE
    Liu, Yaqing
    Zheng, Liancun
    Zhang, Xinxin
    Zong, Fenglei
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL HEAT TRANSFER CONFERENCE - 2010, VOL 2: CONDENSATION, CONVECTION, MELTING AND SOLIDIFICATION, 2010, : 383 - 386
  • [4] Unsteady helical flows of a generalized Oldroyd-B fluid with fractional derivative
    Qi, Haitao
    Jin, Hui
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 2700 - 2708
  • [5] Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model
    Anwar, Talha
    Kumam, Poom
    Asifa
    Thounthong, Phatiphat
    Muhammad, Shah
    Duraihem, Faisal Zaid
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (03) : 2188 - 2202
  • [6] Numerical simulation for MHD Oldroyd-B fluid flow with melting and slip effect
    Dadheech, Amit
    Sharma, Surbhi
    Al-Mdallal, Qasem
    [J]. SCIENTIFIC REPORTS, 2024, 14 (01):
  • [7] Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative
    Qi Haitao
    Xu Mingyu
    [J]. APPLIED MATHEMATICAL MODELLING, 2009, 33 (11) : 4184 - 4191
  • [8] Thermal analysis of MHD convective slip transport of fractional Oldroyd-B fluid over a plate
    Anwar, Talha
    Kumam, Poom
    Khan, Ilyas
    Thounthong, Phatiphat
    [J]. MECHANICS OF TIME-DEPENDENT MATERIALS, 2022, 26 (02) : 431 - 462
  • [9] Thermal analysis of MHD convective slip transport of fractional Oldroyd-B fluid over a plate
    Talha Anwar
    Poom Kumam
    Ilyas Khan
    Phatiphat Thounthong
    [J]. Mechanics of Time-Dependent Materials, 2022, 26 : 431 - 462
  • [10] COUETTE FLOW OF AN OLDROYD-B FLUID WITH SLIP CONDITION
    Hayat, T.
    Najam, Saher
    Khalique, C. M.
    [J]. JOURNAL OF POROUS MEDIA, 2010, 13 (11) : 999 - 1006
12345