AN ANALYTICAL STUDY OF COUPLE STRESS FLUID THROUGH A SPHERE WITH AN INFLUENCE OF THE MAGNETIC FIELD

被引:7
作者
Prasad, Madasu Krishna [1 ]
Sarkar, Priya [1 ]
机构
[1] Natl Inst Technol, Dept Math, Raipur 492010, Chhattisgarh, India
关键词
creeping flow; sphere; magnetic effect; couple stress fluid; drag; FLOW; PARTICLES;
D O I
10.17512/jamcm.2022.3.08
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The present work concerns to study of the steady, axisymmetric slow flow of couple stress fluid through a rigid sphere in the transverse magnetic field. Boundary conditions on the sphere surface are the zero couple stress condition and tangential slip condition. The stream function, vorticity vector, and pressure term are obtained. The drag acting on the sphere in the presence of MHD is calculated. Here, we graphically represented the Hartmann number, couple stress, and slip parameters effect on the drag coefficient. Some well-known results of the drag are deduced.
引用
收藏
页码:99 / 110
页数:12
相关论文
共 25 条
[1]   Existence of electromagnetic-hydrodynamic waves [J].
Alfven, H .
NATURE, 1942, 150 :405-406
[2]   Stokes flow of an incompressible couple stress fluid confined between two eccentric spheres [J].
Alsudais, Noura S. ;
El-Sapa, Shreen ;
Ashmawy, E. A. .
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2022, 91 :244-252
[3]   Couple stress fluid flow due to slow steady oscillations of a permeable sphere [J].
Aparna, P. ;
Padmaja, P. ;
Pothanna, N. ;
Murthy, J. V. Ramana .
NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2020, 9 (01) :352-360
[4]   Drag on a slip spherical particle moving in a couple stress fluid [J].
Ashmawy, E. A. .
ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (02) :1159-1164
[5]   Analytical solutions of couple stress fluid flows with slip boundary conditions [J].
Devakar, M. ;
Sreenivasu, D. ;
Shankar, B. .
ALEXANDRIA ENGINEERING JOURNAL, 2014, 53 (03) :723-730
[6]   Mobilities of two spherical particles immersed in a magneto-micropolar fluid [J].
El-Sapa, Shreen ;
Faltas, M. S. .
PHYSICS OF FLUIDS, 2022, 34 (01)
[7]   Effect of magnetic field on the motion of two rigid spheres embedded in porous media with slip surfaces [J].
El-Sapa, Shreen ;
Alsudais, Noura S. .
EUROPEAN PHYSICAL JOURNAL E, 2021, 44 (05)
[8]   LAMINAR STEADY-STATE MAGNETOHYDRODYNAMIC FLOW IN AN ANNULAR CHANNEL [J].
GLOBE, S .
PHYSICS OF FLUIDS, 1959, 2 (04) :404-407
[9]   MAGNETOHYDRODYNAMIC PIPE FLOW .1. [J].
GOLD, RR .
JOURNAL OF FLUID MECHANICS, 1962, 13 (04) :505-512
[10]   Skew-symmetric couple-stress fluid mechanics [J].
Hadjesfandiari, Ali R. ;
Hajesfandiari, Arezoo ;
Dargush, Gary F. .
ACTA MECHANICA, 2015, 226 (03) :871-895