MHD flow of longitudinal and torsional oscillations of a circular cylinder with suction in a couple stress fluid
More details
Hide details
Department of Mathematics, GITAM University, Hyderabad Campus Rudraram, Medak District, Andhra Pradesh, INDIA
Department of Mathematics National Institute of Technology Warangal–506004, (A.P), INDIA
Online publication date: 2014-03-07
Publication date: 2013-12-01
International Journal of Applied Mechanics and Engineering 2013;18(4):1099-1114
In this paper, we consider the flow an incompressible electrically conducting couple stress fluid generated by performing longitudinal and torsional oscillations of a porous circular cylinder subjected to constant suction/injection at the surface of the cylinder and in the presence of a radial magnetic field. A finite difference method is proposed to analyze the velocity components, in an infinite expansion of a couple stress fluid under vanishing couple stresses on the boundary. The effects of the magnetic parameter, couple stress parameter, Reynolds number, the ratio of couple stress viscosities parameter and suction parameter on velocity components and drag are discussed and shown graphically.
Agarwal H.L. (1969): Laminar flow through a uniform circular pipe with small outward normal suction. - Proc. Natn.Acad. Sci., vol.35, A, No.4, pp.518-527.
Bansal J.L. (1967): Laminar flow through a uniform circular pipe with small suction. - Proc. Natn. Acad. Sci., vol.32, A, No.4, pp.368-378.
Calmelet-Eluhu C. and Mazumdar D.R. (1998): Flow of micropolar fluid through a circular cylinder subject to longitudinal and torsinal oscillations. - Mathl. Comput. Modelling, vol.27, pp.69-78.
Hughes W.F. and Young F.J. (1966): Electro-Magnetodynamics of fluids.-John Villey: pp.254-256.
Muthu P., Rathish Kumar B.V. and Peeyush C. (2008): Peristaltic motion of micropolar fluid in cylindrical tubes: effect of wall properties. - Appl. Math. Modelling, vol.32, pp.2019-2033.
Owen D. and Rahaman K. (2006): On the flow of an Oldroyd-B liquid through a straight circular tube performing longitudinal and torsional oscillations of different frequencies. - Mathematica, vol.14, pp.1-9.
Pontrelli G. (1997): Longitudinal and torsional oscillations of a rod in an Oldroyd-B fluid with suction or injection. - Acta Mech., vol.123, pp.57-68.
Ramana Murthy J.V., Bahali N.K. and Srinivasacharya D. (2010): Unsteady flow of a micropolar fluid through a circular pipe under a transverse magnetic field with suction/injection-Selguk. - Journal of Applied Mathematics, vol.11, No.2, pp.13-25.
Ramana Murthy J.V., Nagaraju G. and Muthu P. (2010): Numerical solution of longitudinal and torsional oscillations of a circular cylinder with suction in a couple stress fluid. - Journal of Engineering and Applied Sciences, vol.5No.5, pp.51-63.
Ramkissoon H. and Majumdar S.R. (1990): Flow due to the longitudinal and torsinal oscillations of a cylinder. - ZAMP, Vol 41, pp 598-603.
Ramkissoon H., Easwaran C.V. and Majumdar S.R. (1991): Longitudinal and torsional oscillation of a rod in a polar fluid. - Int. J. Engng. Sci, vol.29(2), pp.215-221.
Singh D. and Rizvi S.A.T. (1964): Unsteady motion of a conducting liquid between two infinite coaxial cylinders.- Phys. Fluids, vol.7, pp.760-761.
Srinivasacharya D. and Kaladhar K. (2012): Analytical solution of mixed convection flow of couple stress fluid between two concentric cylinders with Hall and Ion effects.-Turkish Journal of Engineering and Environmental Studies, pp.1-10 (To Appear).
Stokes V.K. (1966): Couple stresses in fluids. - Phys. Fluids, vol.9, pp.1709-1715.
Terril R.M. and Shrestha G.M. (1965): Laminar flow through parallel and uniformly porous walls of different permeability. - ZAMP, vol.16, pp.470-482.
Tsangaris S., Kondaxakis D. and Vlachakis N.W. (2007): Exact solution for flow in a porous pipe with unsteady wall suction and/or injection. - Communications in Nonlinear Science and Numerical Simulation, vol.12, pp.1181-1189.
Journals System - logo
Scroll to top