Hall effects on hydromagnetic flow of an Oldroyd 6-constant fluid between concentric cylinders

作者: M.A. Rana , A.M. Siddiqui , Rashid Qamar

DOI: 10.1016/J.CHAOS.2007.01.143

关键词: Pressure gradientFlow (mathematics)Cylinder (engine)Shear thinningPhysicsDilatantBoundary value problemCompressibilityMagnetic fieldMechanicsGeneral Mathematics

摘要: The hydromagnetic flow of an electrically conducting, incompressible Oldroyd 6-constant fluid between two concentric cylinders is investigated. generated by moving inner cylinder and/or application the constant pressure gradient. Two non-linear boundary value problems are solved numerically. effects material parameters, gradient, magnetic field and Hall parameter on velocity studied. graphical representation reveals that characteristics for shear thinning/shear thickening behaviour a dependent upon rheological properties.

参考文章(19)
C. Guillopé, J.-C. Saut, Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type Mathematical Modelling and Numerical Analysis. ,vol. 24, pp. 369- 401 ,(1990) , 10.1051/M2AN/1990240303691
Steve T. Chiang, Klaus A. Hoffmann, Computational Fluid Dynamics for Engineers ,(1989)
R. Byron Bird, Dynamics of Polymeric Liquids ,(1977)
R.A. Alpher, HEAT TRANSFER IN MAGNETOHYDRODYNAMIC FLOW BETWEEN PARALLEL PLATES International Journal of Heat and Mass Transfer. ,vol. 3, pp. 108- 112 ,(1961) , 10.1016/0017-9310(61)90073-4
K.R. Rajagopal, On the creeping flow of the second-order fluid Journal of Non-newtonian Fluid Mechanics. ,vol. 15, pp. 239- 246 ,(1984) , 10.1016/0377-0257(84)80008-7
S. D. NIGAM, S. N. SINGH, HEAT TRANSFER BY LAMINAR FLOW BETWEEN PARALLEL PLATES UNDER THE ACTION OF TRANSVERSE MAGNETIC FIELD Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 13, pp. 85- 97 ,(1960) , 10.1093/QJMAM/13.1.85
G. Pontrelli, R. K. Bhatnagar, Flow of a viscoelastic fluid between two rotating circular cylinders subject to suction or injection International Journal for Numerical Methods in Fluids. ,vol. 24, pp. 337- 349 ,(1997) , 10.1002/(SICI)1097-0363(19970215)24:3<337::AID-FLD497>3.0.CO;2-F
J. G. OLDROYD, THE MOTION OF AN ELASTICO-VISCOUS LIQUID CONTAINED BETWEEN COAXIAL CYLINDERS. I Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 4, pp. 271- 282 ,(1951) , 10.1093/QJMAM/4.3.271
A.M. Siddiqui, M.A. Rana, Naseer Ahmed, Effects of hall current and heat transfer on MHD flow of a Burgers’ fluid due to a pull of eccentric rotating disks Communications in Nonlinear Science and Numerical Simulation. ,vol. 13, pp. 1554- 1570 ,(2008) , 10.1016/J.CNSNS.2006.10.005