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MHD flow of longitudinal and torsional oscillations of a circular cylinder with suction in a couple stress fluid

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
1099--1114
Opis fizyczny
Bibliogr. 16 poz., rys., wykr.
Twórcy
autor
  • 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
Bibliografia
  • 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 tolongitudinal 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: effectof 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 performinglongitudinal 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 acircular 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 oscillationsof 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 polarfluid. - 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 betweentwo 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 differentpermeability. - 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 wallsuction and/or injection. - Communications in Nonlinear Science and Numerical Simulation, vol.12, pp.1181-1189
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0b7a058d-afff-47d6-a2f2-62d39d17e0b9
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