TY - JOUR

T1 - An oscillating hydromagnetic non-newtonian flow in a rotating system

AU - Hayat, T.

AU - Nadeem, S.

AU - Siddiqui, A. M.

AU - Asghar, S.

N1 - Funding Information:
The analysis of the effects of rotation and magnetic field in fluid flows has been an active area of research because of its geophysical and technological importance. Interest in MHD flow began in 1918, when Hartmann \[1\]i nvented the electromagnetic pump. The study of magnetic field effects on the laminar flow of an incompressible electrically conducting fluid is an important problem that is related to many practical applications, such as the MHD power generator and boundary layer flow control. Historically, Rossow \[2\]w as the first to study the hydrodynamic behavior of the The first author is grateful for the financial support provided by the Alexander yon Humboldt and Quaid-i-Azam University through University fund.

PY - 2004/5

Y1 - 2004/5

N2 - An exact solution of an oscillatory boundary layer flow bounded by two horizontal flat plates, one of which is oscillating in its own plane and the other at rest, is developed. The fluid and the plates are in a state of solid body rotation with constant angular velocity about the z-axis normal to the plates. The fluid is assumed to be second grade, incompressible, and electrically conducting. A uniform transverse magnetic field is applied. During the mathematical analysis, it is found that the steady part of the solution is identical to that of viscous fluid. The structure of the boundary layers is also discussed. Several known results of interest are found to follow as particular cases of the solution of the problem considered.

AB - An exact solution of an oscillatory boundary layer flow bounded by two horizontal flat plates, one of which is oscillating in its own plane and the other at rest, is developed. The fluid and the plates are in a state of solid body rotation with constant angular velocity about the z-axis normal to the plates. The fluid is assumed to be second grade, incompressible, and electrically conducting. A uniform transverse magnetic field is applied. During the mathematical analysis, it is found that the steady part of the solution is identical to that of viscous fluid. The structure of the boundary layers is also discussed. Several known results of interest are found to follow as particular cases of the solution of the problem considered.

UR - http://www.scopus.com/inward/record.url?scp=2442711310&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2442711310&partnerID=8YFLogxK

U2 - 10.1016/S0893-9659(04)90134-6

DO - 10.1016/S0893-9659(04)90134-6

M3 - Article

AN - SCOPUS:2442711310

SN - 0893-9659

VL - 17

SP - 609

EP - 614

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 5

ER -