Resonance behaviour of viscoelastic fluid in Poiseuille flow in the presence of a transversal magnetic field

被引：18
|
作者：
Mohyuddin, MR [1 ]
Götz, T
机构：
[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
[2] Univ Kaiserslautern, Dept Math, D-67653 Kaiserslautern, Germany
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2005年 / 49卷 / 08期
关键词：
viscoelastic MHD flow; resonance; velocity enhancement;
D O I：
10.1002/fld.1026
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The oscillatory flow of a viscoelastic fluid in a circular pipe under the influence of a transversal magnetic field is studied. Exact solutions for the axial velocity and flow rate are presented. The velocity enhancement and the resonance behaviour are analysed both numerically and asymptotically in the case of small pipe radii. Approximations for the resonance frequencies and the achievable velocity enhancements are derived. Copyright (c) 2005 John Wiley & Sons, Ltd.
引用
收藏
页码：837 / 847
页数：11
相关论文
共 50 条
  • [41] A MATHEMATICAL MODEL OF THE NEWTONIAN FLUID FLOW IN THE PRESENCE OF APPLIED MAGNETIC FIELD
    Jain, Sushil Kumar
    Kumar, S.
    Sharma, D. S.
    JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2014, 13 (02): : 109 - 124
  • [42] Fluid flow past a rotating sphere in the presence of a toroidal magnetic field
    Sharma, Bharti
    Srivastava, Neetu
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2023, 103 (05):
  • [43] Hydrodynamic Stability of Plane Poiseuille Flow of Non-Newtonian Fluids in the Presence of a Transverse Magnetic Field
    Rafiki, Abdessamade
    Hifdi, Ahmed
    Ouazzani Touhami, Mohamed
    Taghavi, Seyed Mohammad
    NIHON REOROJI GAKKAISHI, 2014, 42 (01) : 51 - 60
  • [44] Longitudinal waves propagation in plates in the presence of transversal magnetic field
    Sarkisyan S.V.
    Sargsyan A.L.
    Journal of Mathematical Sciences, 2009, 160 (4) : 521 - 524
  • [45] Stability of Poiseuille flow of a viscoelastic fluid in an anisotropic porous layer with oblique principal axes
    Shankar, B. M.
    Shivakumara, I. S.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2025, 174
  • [46] THE IMPULSIVE MOTION OF A FLAT-PLATE IN A VISCOELASTIC FLUID IN THE PRESENCE OF A TRANSVERSE MAGNETIC-FIELD
    CHOUBEY, KR
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1985, 16 (08): : 931 - 937
  • [47] NONAXISYMMETRIC FREE CONVECTION FLOW OVER A ROTATING DISK IN A VISCOELASTIC FLUID WITH MAGNETIC FIELD
    Seshadri, Rajeswari
    Sabaskar, J.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2015, 5 (03): : 406 - 419
  • [48] Unstable spectra of plane Poiseuille flow with a uniform magnetic field
    Wei, Lai
    Liu, Yunxia
    Yu, Fang
    Ren, Haijun
    Wang, Zheng-Xiong
    Liu, Yue
    Peng, Hang
    PLASMA PHYSICS AND CONTROLLED FUSION, 2022, 64 (04)
  • [49] A Novel Method of Flow Curve Measurement for Magnetic Fluid Based on Plane Poiseuille Flow
    Dong, Jiahao
    Hu, Yifan
    Su, Bingrui
    Li, Zhenkun
    Song, Zhongru
    Li, Decai
    Cui, Hongchao
    Wang, Deyi
    MAGNETOCHEMISTRY, 2022, 8 (09)
  • [50] The nonstationary flow of a conducting fluid in a plane pipe in the presence of a transverse magnetic field
    Tsutskiridze, Varden
    Jikidze, Levan
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2016, 170 (02) : 280 - 286
12345