Effect of an endoscope and rotation on the peristaltic flow involving a Jeffrey fluid with magnetic field

被引:9
作者
Abd-Alla, A. M. [1 ,2 ,3 ]
Abo-Dahab, S. M. [2 ,4 ]
机构
[1] Taif Univ, Fac Sci, Dept Math, At Taif 888, Saudi Arabia
[2] Taif Univ, Fac Sci, Dept Math, At Taif 888, Saudi Arabia
[3] Sohag Univ, Dept Math, Fac Sci, Sohag, Egypt
[4] South Valley Univ, Fac Sci, Dept Math, Qena 83523, Egypt
关键词
Peristaltic flow; An endoscope; Jeffrey fluid; Magnetic field; Rotation; 4TH GRADE FLUID; HEAT-TRANSFER; INITIAL STRESS; MASS-TRANSFER; MICROPOLAR FLUID; COMPLIANT WALLS; POROUS-MEDIUM; TRANSPORT; CHANNEL; ANNULUS;
D O I
10.1007/s40430-014-0257-5
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper deals with the influence of an endoscope and rotation on peristaltic flow of a Jeffrey fluid through the cylindrical cavity between concentric tubes with magnetic field. The two-dimensional equations of Jeffrey fluid are simplified by making the assumptions of long wave length and low Reynolds number. The expressions for pressure gradient, velocity, pressure rise, friction force on the inner and outer tubes and shear stress are sketched for various embedded parameters and interpreted. The effect of the non-dimensional wave amplitude, magnetic field, rotation, ratio of relaxation to retardation time, radius ratio and non-dimensional volume flow are analyzed theoretically and computed numerically. The features of the flow characteristics are analyzed by plotting graphs and discussed in detail. Comparison was made with the results obtained in the presence and absence of rotation, an endoscope and magnetic field. The results indicate that the effect of the non-dimensional wave amplitude, rotation, ratio of relaxation to retardation time, radius ratio and non-dimensional volume flow on peristaltic flow is highly pronounced.
引用
收藏
页码:1277 / 1289
页数:13
相关论文
共 31 条
[1]   Influence of heat and mass transfer, initial stress and radially varying magnetic field on the peristaltic flow in an annulus with gravity field [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
El-Shahrany, H. D. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2014, 363 :166-178
[2]   Effects of rotation and initial stress on peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
El-Shahrany, H. D. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2014, 349 :268-280
[3]   Effect of rotation on peristaltic flow of a micropolar fluid through a porous medium with an external magnetic field [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Al-Simery, R. D. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2013, 348 :33-43
[4]   Long wavelength peristaltic flow in a tubes with an endoscope subjected to magnetic field [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
El-Semiry, R. D. .
KOREA-AUSTRALIA RHEOLOGY JOURNAL, 2013, 25 (02) :107-118
[5]   Effect of the rotation, magnetic field and initial stress on peristaltic motion of micropolar fluid [J].
Abd-Alla, A. M. ;
Yahya, G. A. ;
Mahmoud, S. R. ;
Alosaimi, H. S. .
MECCANICA, 2012, 47 (06) :1455-1465
[6]   Wave propagation modeling in cylindrical human long wet bones with cavity [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Mahmoud, S. R. .
MECCANICA, 2011, 46 (06) :1413-1428
[7]  
Abd-Allaa AM, 2013, CHINESE PHYS B, V22, P325
[8]   Effects of heat and mass transfer on the peristaltic flow of hyperbolic tangent fluid in an annulus [J].
Akbar, Noreen Sher ;
Nadeem, S. ;
Hayat, T. ;
Hendi, Awatif A. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2011, 54 (19-20) :4360-4369
[9]   Non-Newtonian fluid flow induced by peristaltic waves in a curved channel [J].
Ali, N. ;
Sajid, M. ;
Abbas, Z. ;
Javed, T. .
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2010, 29 (05) :387-394
[10]   Peristaltic flow of a Maxwell fluid in a channel with compliant walls [J].
Ali, Nasir ;
Hayat, Tasawar ;
Asghar, Saleem .
CHAOS SOLITONS & FRACTALS, 2009, 39 (01) :407-416