Flow generated due to longitudinal and torsional oscillations of a circular cylinder with suction/injection in a micropolar fluid
Main Article Content
Abstract
Article Details
References
A. C. Eringen, Simple microfluids, Int. J. Engng. Sci.,2(1964), 205--217.
A. C. Eringen, Proceedings of XI'th International Congress of Applied Mechanics, Springer-Verlag, Berlin (1965), 131.
A. C. Eringen, Theory of micropolar fluids, J. Math. Mech,16(1966), 1--18.
T. Ariman, M. A. Turk and N. D. Sylvester, Microcontinuum fluid mechanics-a review, Int. J. Engng. Sci., 11(1973),905--930.
T. Ariman, M. A. Turk and N. D. Sylvester, Applications of microcontinuum fluid mechanics, Int. J. Engng. Sci, 12(1974),273--293.
C. Calmelet-Eluhu and D. R. Mazumdar, Flow of Micropolar fluid through a circular cylinder subject to longitudinal and torsinal oscillations, Mathl. Comput. Modelling, 27(1998),69--78.
G. G. Stokes, On the effect of rotation of cylinders and spheres about their own axes in increasing the logarithmic decrement of the arc of vibration, Mathematical and Philosophical Papers 5 Cambridge: Cambridge University Press, England(1886), 207--214.
M. J. Casarella and P. A. Laura, Drag on oscillating rod with longitudinal and torsional Motion, J. Hydronaut,3(1969), 180--183.
K. R. Rajagopal, Longitudinal and Torsional oscillation of a rod in a non-Newtonian fluid, Acta. Mech., 49(1983),281--285.
H. Ramkissoon and S. R. Majumdar, Flow due to the longitudinal and torsinal oscillations of a cylinder, ZAMP, 41(1990), 598--603.
H. Ramkissoon, C. V. Easwaran and S. R. Majumdar, Longitudinal and Torsional oscillation of a rod in a polar fluid, Int. J. Engng. Sci., 29(1991), 215--221.
D. Owen and K. Rahaman, On the flow of an Oldroyd-B liquid through a straight circular tube performing longitudinal and torsional oscillations of different frequencies, Mathematica, 14(2006), 1--9.
A. S. Berman, Laminar flow in channels with porous walls, J. Appl. Phys., 24(1953), 1232--1235.
J. N. Kapur, Flow of a non-Newtonian fluid between rotating cylinders with suction and injection, Phys. Fluids,6(1963), 626--631.
Jangi Lal, Unsteady flow and Heat Transfer in a viscous incompressible fluid due to the oscillations of a porous cylinder with suction, Def. Sci. J., 20(1970), 45--52.
G. Pontrelli, The axisymmetric flow of a homogeneous Oldroyd-B fluid due to the longitudinal and torsional oscillations of an infinite rod, Acta. Mech., 123(1997), 57--68.
M. Emin Erdogan and C. Erdem Imrak, Steady Flow of a Second-Grade Fluid in an annulus with Porous Walls, Mathematical Problems in Engineering, 2008(2008), 1--11.
P. M. Rao, K. Kuwahara and K. Tsuboi, Study of unsteady viscous flow around a transversely and longitudinally oscillating circular cylinder in a uniform flow at high Reynolds number, Comput. Mech., 10(1992), 414--428.
G. Pontrelli and R. K. Bhatnagar, Flow of a viscoelastic fluid between two rotating circular cylinders subject to suction or injection, Int. J. for Numer. Methods in Fluids, 24(1997),337--349.
Lokendra Kumar, Rama Bhargava and H. S. Takhar, Finite element solution of mixed convection on a moving vertical cylinder with suction in a moving micropolar fluid medium, Meccanica,41(2006), 63--78.
Mehrdad Massoudi and Tran X. Phouc, On the motion of a second grade fluid due to longitudinal and torsional oscillations of a cylinder-A numerical study, Appl. Math. Comput, 203(2008), 471--481.
P. Muthu, B. V. Rathish Kumar and Peeyush Chandra, Peristaltic motion of micropolar fluid in cylindrical tubes: effect of wall properties, Appl. Math. Modelling,
(2008), 2019--2033.