Effect of the rotation, magnetic field and initial stress on peristaltic motion of micropolar fluid

被引:37
作者
Abd-Alla, A. M. [1 ]
Yahya, G. A. [2 ]
Mahmoud, S. R. [3 ]
Alosaimi, H. S. [1 ]
机构
[1] Taif Univ, Dept Math, Fac Sci, At Taif, Saudi Arabia
[2] Taif Univ, Dept Phys, Fac Sci, At Taif, Saudi Arabia
[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah, Saudi Arabia
关键词
Peristaltic motion; Wall properties; Micropolar fluid; Perturbation technique; Velocity profiles; Rotation; Magnetic field; Initial stress; MASS-TRANSFER; FLOW; SURFACE; TEMPERATURE; CONVECTION;
D O I
10.1007/s11012-011-9528-8
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this work, the effect of magnetic field, rotation and initial stress on peristaltic motion of micropolar fluid in a circular cylindrical flexible tube with viscoelastic or elastic wall properties has been considered. Runge-Kutta technique are used. Runge-Kutta method is developed to solve the governing equations of motion resulting from a perturbation technique for small values of amplitude ratio. The time mean axial velocity profiles are presented for the case of free pumping and analyzed to observe the influence of wall properties, magnetic field, rotation and initial stress for various values of micropolar fluid parameters. In the case of viscoelastic wall, the effect of viscous damping on mean flow reversal at the boundary is seen. The numerical results of the time mean velocity profile are discussed in detail for homogeneous fluid under the effect of wall properties, magnetic field, initial stress and rotation for different cases by figures. The results indicate that the effect of wall properties, rotation, initial stress and magnetic field are very pronounced. Numerical results are given and illustrated graphically.
引用
收藏
页码:1455 / 1465
页数:11
相关论文
共 23 条
[1]  
Abd-Alla A.M., 2011, INT MATH FORUM, V6, P2711
[2]  
Afifi N., 2011, Int. Math. Forum, V6, P1345
[3]   Interaction of peristaltic flow with pulsatile magneto-fluid through a porous medium [J].
Afifi, NAS ;
Gad, NS .
ACTA MECHANICA, 2001, 149 (1-4) :229-237
[4]  
Ali N, 2007, BIORHEOLOGY, V44, P125
[5]   Non-linear stability characterization of the thin micropolar liquid film flowing down the inner surface of a rotating vertical cylinder [J].
Chen, Chun-I .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (05) :760-775
[6]   Mixed convective heat and mass transfer in a non-Newtonian fluid at a peristaltic surface with temperature-dependent viscosity [J].
Eldabe, N. T. M. ;
El-Sayed, M. F. ;
Ghaly, A. Y. ;
Sayed, H. M. .
ARCHIVE OF APPLIED MECHANICS, 2008, 78 (08) :599-624
[7]   A new model for study the effect of wall properties on peristaltic transport of a viscous fluid [J].
Elnaby, Mokhtar A. Abd ;
Haroun, Mohamed H. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (04) :752-762
[8]  
ERINGEN AC, 1966, J MATH MECH, V16, P1
[9]   LAMINAR FREE CONVECTION FLOW OF AN ELECTRICALLY CONDUCTING FLUID FROM A VERTICAL PLATE WITH UNIFORM SURFACE HEAT FLUX AND VARIABLE WALL TEMPERATURE IN PRESENCE OF A MAGNETIC FIELD [J].
GUPTA, AS .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1962, 13 (04) :324-&
[10]   Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel [J].
Haroun, Mohamed H. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (08) :1464-1480