Long wavelength peristaltic flow in a tubes with an endoscope subjected to magnetic field

被引：18

作者：

Abd-Alla, A. M. ^{[1
,2
]}

Abo-Dahab, S. M. ^{[1
,3
]}

El-Semiry, R. D. ^{[1
]}

机构：

[1] Taif Univ, Fac Sci, Dept Math, At Taif, Saudi Arabia

[2] Fac Sci, Dept Math, Sohag, Egypt

[3] SVU, Fac Sci, Dept Math, Qena 83523, Egypt

来源：

KOREA-AUSTRALIA RHEOLOGY JOURNAL | 2013年 / 25卷 / 02期

关键词：

peristaltic flow; Jeffrey fluid; Sinusoidal wave; coaxial uniform tubes; magnetic field; 2ND-ORDER FLUID; HEAT-TRANSFER; MASS-TRANSFER; TRANSPORT; MODEL;

D O I：

10.1007/s13367-013-0011-z

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, this study examines problem of peristaltic flow in a tubes with an endoscope subjected to magnetic field. Effect of an endoscope and magnetic field on the peristaltic flow of a Jeffrey fluid through the cylindrical cavity between concentric tubes has been investigated. The analytical expressions for the pressure gradient, velocity, pressure rise, friction force on the inner and outer tubes and shear stress are obtained in the physical domain. Effect of the non-dimensional wave amplitude, the magnetic field, the ratio of relaxation to retardation time, the radius ratio and the non-dimensional volume flow are analyzed theoretically and computed numerically. Comparison were made with the results obtained in the presence and absence of magnetic field and an endoscope. The results indicate that the effect of the non-dimensional wave amplitude, magnetic field, ratio of relaxation to retardation time, radius ratio and non-dimensional volume flow on peristaltic flow are very pronounced.

引用

页码：107 / 118

页数：12

共 23 条

[1] Influence of induced magnetic field on peristaltic flow in an annulus [J].

Abd Elmaboud, Y. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (02) :685-698

[2] Non-linear peristaltic transport of a second-order fluid through a porous medium [J].

Abd Elmaboud, Y. ;

Mekheimer, Kh. S. .

APPLIED MATHEMATICAL MODELLING, 2011, 35 (06) :2695-2710

[3]

Chaube M.K., 2010, MATH COMPUT MODEL, V52, P387

[4] A novel thermo-pneumatic peristaltic micropump with low temperature elevation on working fluid [J].

Chia, Bonnie Tingting ;

Liao, Hsin-Hung ;

Yang, Yao-Joe .

SENSORS AND ACTUATORS A-PHYSICAL, 2011, 165 (01) :86-93

[5] Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field [J].

Hayat, Tasawar ;

Noreen, Saima .

COMPTES RENDUS MECANIQUE, 2010, 338 (09) :518-528

[6] Comments on "Peristaltic flow of a Williamson fluid in an asymmetric channel" (Commun. Nonlinear Sci. Numer. Simul. 15, 1705-1716) [J].

Koshel, Konstantin .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (01) :483-484

[7] Peristaltic flow of a Jeffrey fluid in a rectangular duct [J].

Nadeem, S. ;

Akram, Safia .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) :4238-4247

[8] Effects of temperature dependent viscosity on peristaltic flow of a Jeffrey-six constant fluid in a non-uniform vertical tube [J].

Nadeem, S. ;

Akbar, Noreen Sher .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (12) :3950-3964

[9] Influence of heat and mass transfer on peristaltic flow of a third order fluid in a diverging tube [J].

Nadeem, S. ;

Akbar, Noreen Sher ;

Bibi, Naheeda ;

Ashiq, Sadaf .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (10) :2916-2931

[10] Peristaltic flow of a Williamson fluid in an asymmetric channel [J].

Nadeem, S. ;

Akram, Safia .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (07) :1705-1716

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