An analysis of the swimming problem of a singly flagellated micro-organism in an MHD fluid

被引:11
作者
Ansari, A. R. [2 ]
Siddiqui, A. M. [3 ]
Hayat, T. [1 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] Gulf Univ Sci & Technol, Dept Math & Phys Sci, Hawally 32093, Kuwait
[3] Penn State Univ, Dept Math, Philadelphia, PA USA
关键词
swimming problem; single flagellum; MHD flow; analytic solution; propulsion velocity;
D O I
10.1007/s11071-007-9245-y
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The present work is concerned with the study of the swimming of flagellated microscopic organisms, which employ a single flagellum for propulsion in a magnetohydrodynamic (MHD) fluid. The flow is modeled by appropriate equations and the organism is modeled by an infinite flexible but inextensible transversely waving sheet, which represents approximately the flagellum. The governing equations subject to appropriate boundary conditions are solved analytically. Expressions for the velocity of propulsion of the microscopic organism are obtained.
引用
收藏
页码:477 / 481
页数:5
相关论文
共 12 条
[1]   SWIMMING IN A VISCOELASTIC LIQUID [J].
CHAUDHURY, TK .
JOURNAL OF FLUID MECHANICS, 1979, 95 (NOV) :189-197
[2]  
Gray J., 1968, ANIMAL LOCOMOTION
[3]   Physiological considerations in applying laboratory-determined buoyant densities to predictions of bacterial and protozoan transport in groundwater: Results of in-situ and laboratory pests [J].
Harvey, RW ;
Metge, DW ;
Kinner, N ;
Mayberry, N .
ENVIRONMENTAL SCIENCE & TECHNOLOGY, 1997, 31 (01) :289-295
[4]   FLAGELLAR HYDRODYNAMICS - NEUMANN,JV LECTURE, 1975 [J].
LIGHTHILL, J .
SIAM REVIEW, 1976, 18 (02) :161-230
[5]   SWIMMING OF MINUTE ORGANISMS [J].
REYNOLDS, AJ .
JOURNAL OF FLUID MECHANICS, 1965, 23 :241-&
[6]   A note on the swimming problem of a singly flagellated microorganism in a fluid flowing through a porous medium [J].
Siddiqui, AM ;
Ansari, AR .
JOURNAL OF POROUS MEDIA, 2005, 8 (06) :551-556
[7]   An undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian slime [J].
Siddiqui, AM ;
Burchard, RP ;
Schwarz, WH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2001, 36 (05) :743-761
[8]  
SLEIGH MA, 1974, CILIA FLGELLA
[9]   MOTION INDUCED BY A WAVING PLATE [J].
STURGES, LD .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1981, 8 (3-4) :357-364
[10]   ANALYSIS OF THE SWIMMING OF MICROSCOPIC ORGANISMS [J].
TAYLOR, G .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1951, 209 (1099) :447-461