iosr-Jm   Volume-11 ~ Issue-2 ~ Mar-Apr 2015

Abstract:An analytical model under the no resonance condition is developed to determine the lift on inline oscillating circular cylinder under the lock-on regime. From numerical simulations of the flow field, lift coefficient data are obtained over the inline oscillating circular cylinder. Spectral analysis is applied to the data to characterize the non-linear coupling between the vortex shedding frequency and its third harmonic. From this analysis it is concluded that the van der Pol equation should be used to model the lift coefficient on inline
oscillating circular cylinder in the lock-on regime.
Keywords: Inline oscillations, circular cylinder, Lift, Higher order spectra, auto-bispectra, auto-trispectra, Non-linear coupling, no resonance

[1]. P. T. Tokumaru, and P. E. Dimotakis, Rotary oscillation control of a cylinder wake. J. Fluid Mech., 224(77), 1991.
[2]. X.-Y. Lu and J. Sato. A numerical study of flow past a rotationally oscillating circular cylinder. J. Fluids Struct, 10, 829, 1996.
[3]. M.-H. Chou. Synchronization of vortex shedding from a cylinder under rotary oscillation. Comput. Fluids, 26, 755, 1997.
[4]. S. Choi, K. Choi and S. Kang. Characteristics of flow over a rotationally oscillating cylinder at low Reynolds number. Phys. of Fluids,14(8), 2767, 2002.
[5]. Hartlen, R. T. and Currie, I. G. Lift-Oscillator Model of Vortex-Induced Vibrations. Journal of Engineering Mechanics, 96(5), 577,1970.
[6]. A. H. Nayfeh, F. Owis and M.R. Hajj. A model for the coupled lift and drag on a circular cylinder. Proc. of DETC 2003, ASME 19th Biennial Conference on Mechanical Vibrations and Noise, Chicago, IL, USA, DETC2003/VIB-48455, 2003.

Abstract: Flow pattern depends highly on the local geometry such as branching and sites of stenosis. In circulatory system, the periodic nature of cardiac cycle, unsteady flow is induced. In the modeled problem, arteries forming the bifurcation are taken symmetrical about the axis of the trunk. The blood considered as Newtonian fluid is flowing in the influence of a transverse static magnetic field. The expressions for flow velocity, volumetric flow rate (Q), wall shear stress (WSS) and wall shear stress gradient (WSSG) are derived and effecst of various parameters on these hemodynamic indicators have been computed numerically and represented by graphs. The results show that the pattern of the velocity profiles and hemodynamic indices of the flowing blood alters in daughter vessel from that in the parent one.

Keywords- Bifurcating tube, Magnetohydrodynamic flow, Wall Shear Stress, Wall Shear Stress Gradient.

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[6]. D. Steinman, A. Poepping, L. Tamie, M. Tambasco, R. N. Rankin, and D. W. Holdswor, Flow patterns at the stenosed carotid bifurcation: effect of concentric versus eccentric stenosis, Annals of Biomedical Engineering, 28, 2000, 415-423.

Abstract: We extend some existing results on the zeros of polynomials by considering more general coefficient conditions. As special cases the extended results yield much simpler expressions for the upper bounds of zeros than those of the existing results. The zero-free regions of analytic functions subject to similar coefficient conditions are also investigated. Mathematics Subject Classification:30C10, 30C15.

Keywords: Zeros of polynomial,Eneström-Kakeya theorem.

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[4]. A. Aziz and B. A. Zargar, Some extensions of Eneström-Kakeya Theorem, GlasnikMatematiÄki, 31, (1996), 239-244..
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Abstract: The aim of the present problem is to study and bring out the effect of rarefaction parameter R, Hartman number M, Schmidt number Sc and Grashof number Gr, on velocity, concentration and skin friction of the MHD free convective flow of visco-elastic fluid (Walters BModel)[12] through a porous medium bounded by an oscillating porous flat plate in slip flow regime.

1]. Israel-Cookey C. and Sigalo,F.B., 2003, "Unsteady MHD free-convection and mass transfer flow past an infinite heated porous vertical plate with time dependant suction", AMSE.Mod.,Meas. Cont., B, 72, 25-38.
[2]. Das, S.S.,Panda J.P. and Dash G.C.,2004 , "Free convection flow and mass transfer of an elastico-viscous fluid past an infinite vertical porous plate in a rotating porous medium" , AMSE. Mod. Meas. Cont., B, 73,.37-52.
[3]. Chaudhary R.C. and Chand,T.,2005 , "Hydromagnetic flow past a long vertical channel embedded in porous medium with transpiration cooling", AMSE.Mod.,Meas. Cont.,B, 74,43-54.
[4]. Kurtcebe C.and Erim M.J.,2005, "Heat transfer of a visco-elastic fluid in a porous channel" , Int. J. of Heat and Mass Transfer, 48, 5072-5077.

Abstract:The problem of free convection flow through a porous medium has attracted the attention of a number of scholars because of its possible application to several geophysical application. Singh et al. (2001) have studied free convection in MHD flow of a rotating viscous liquid in porous medium past a vertical porous plate. Sengupta and Basak (2002) have investigated unsteady flow of visco-elastic Maxwell fluid through porous straight tube under the uniform magnetic field. Singh et al. (2003) have reported heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity. Cookey and Sigalo(2003) have studied unsteady MHD free-convection and mass transfer flow past an infinite heated porous vertical plate with time dependant suction.

[1]. N. P. Singh, S.K.Gupta and A.K. Singh, "Free convection in MHD flow of a rotating viscous liquid in porous medium past a
vertical porous plate", Proc. Nat. Acad. Sci., India, vol.71(A), II, pp.149 -157, 2001.
[2]. K.D.Singh and R.K.Sharma ,"Three dimensional free convective flow and heat transfer through a porous medium with periodic
permeability", Indian J. Pure Appl. Math, vol.33,no.6, pp.941,2002.
[3]. P.R. Sengupta and P. Basak, "Unsteady Flow of Visco-Elastic Maxwell Fluid through Porous straight tube under uniform Magnetic
Field" , Ind. J. Th. Phys., vol.50, no.3, pp.203-212,2002.
[4]. Atul K.Singh, Ajay K.Singh and N.P. Singh, "Heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under
oscillatory suction velocity", Ind. J. Pure Appl. Math.,vol.34,no.3, pp.429-442, 2003.
[5]. S.S. Das, J.P. Panda and G.C. Dash , "Free convection flow and mass transfer of an elastico-viscous fluid past an infinite
vertical porous plate in a rotating porous medium" , AMSE. Mod. Meas. Cont., B, vol 73, no. 1 ,pp.37-52,2004.
[6]. R.C. Chaudhary and T. Chand , "Hydromagnetic flow past a long vertical channel embedded in porous medium with
transpiration cooling", AMSE.Mod.,Meas. Cont.,B, vol 74,no.3,pp43-54,2005.

Abstract:In this paper we find certain new double integral relation pertaining to a product involving a general class of polynomials, I function and H -function. These double integral relations are unified in nature and act as a key formulae from which we can obtain as their particular cases. The aim of present paper is to explain certain integral property of a general class of polynomial, H function and I function. Here we also discuss certain integral properties of a I function and H -function, proposed by Inayat-Hussain which contain a certain class of Feynman integrals, the exact partition of a Gaussian model in Statistical Mechanics and several other functions as its particular cases.
Keywords: Feynman integrals, I function, H -function, Hermite polynomials, Laguerre polynomials, general class of polynomial.

[1]. R.G. Buschman and H.M. Srivastava, The H -function associated with a certain class of Feynman integrals, J. Phys. A: Math. Gen..
23 (1990), 4707-4710.
[2]. V.B.L. Chaurasia and Ashok Singh Shekhawat, Some integral properties of a general class of polynomials associated with Feynman
integrals, Bull. Malaysian Math. Sc. Soc. (2) (28) (2) (2005), 183-189.
[3]. J. Edewards, A Treatise on integral calculus, Chelsea Pub. Co., 2 (1922).
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Heidelberg, New York, 1998.

Abstract: We consider a nearly hyperbolic cosymplectic manifold and study semi-invariant submanifolds of a nearly hyperbolic cosymplectic manifold admitting semi-symmetric semi-metric connection. We also find the integrability conditions of some distributions on nearly hyperbolic cosymplectic manifold with semi-symmetric semi-metric connection and study parallel distributions on nearly hyperbolic cosymplectic manifold with semi-symmetric semi-metric connection.

Key Words and Phrases: Semi-invariant submanifolds, Nearly hyperbolic cosymplectic manifold, Parallel distribution, Integrability condition & Semi-symmetric semi-metric connection. 2000 AMS Mathematics Subject Classification: 53D05, 53D25, 53D12.

[1]. Ahmad. M., Semi-invariant submanifolds of nearly Kenmotsu manifold with semi-symmetric semi-metric connection, Mathematicki Vesnik 62 (2010),189-198.
[2]. Ahmad M. and Ali K, Semi-invariant submanifolds of a nearly hyperbolic cosymplectic manifold, Global Journal of Science Frontier Research Mathematics and Decision Sciences Journal of Mathematics, Volume 13, Issue 4,Version 1.0 (2013), PP 73-81
[3]. Ahmad, M and Ali. K., CR- submanifolds of nearly hyperbolic cosympletic manifold, IOSR journal of Mathematics (iosr- jm), vol-6 issue 3, 2013 page 74-77.
[4]. Ahmad, M. and Jun, J.B., On semi-invariant submanifold of nearly Kenmotsu manifold with a semi-symmetric non-metric connection, Journal of the Chungcheong Math. Soc. Vol. 23, no. 2, June (2010), 257-266.
[5]. Ahmad, M., Jun, J. B. and Siddiqi, M. D., Some properties of semi-invariant submanifolds of a nearly trans-Sasakian manifold admitting a quarter symmetric non-metric connection, JCCMS, vol. 25, No. 1 (2012), 73-90.

Abstract:The maximum flow in network involves sending the maximum amount of material from a specified source vertex s to another specified sink vertex t, subject to capacity restrictions on the amount of material that can flow along each path.A closely related we formed a new concept of 𝛼𝑖 -closure space and 𝛼𝑖 -interior space using subgraphs generated by Ford- Fulkerson algorithm steps, also we induced some new topological properties .
Keywords: Graph theory, Rough set, Topology, Fuzzy set and Data mining.

[1]. J. Bondy, D. S. Murty, Graph theory with Applications, North-Holland, 1992.
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[4]. S. Lee, F. Hsu, Spatial reasoning and similarity retrieval of images using 2D C-string knowledge representation. Pattern Recognition 25 (3), 305–318, 1992.
[5]. W. D. Wallis, A Beginner's Guide to Graph Theory, Second Edition, 2007.

Abstract: The aim of this article is to find the solution of the Volterra integral equations of the second kind with a Bulge function by using Elzaki transform, inverse Elzaki transform and the convolution theorem.. Keywords: Elzaki transform, Volterra integral equations, Convolution.

[1]. F. Mirzaee, A computational method for solving linear Volterra integral equations, AMS., 6(17)(2012), 807 - 814..
[2]. Lokenath Debnath and D. Bhatta. Integral transform and their Application second Edition, Chapman & Hall /CRC (2006)..
[3]. M. M. Rahman, M. A. Hakim, M. Kamrul Hasan, M. K. Alam and L. Nowsher Ali, Numerical solutions of Volterra integral equations of the second kind with the help of Chebyshev polynomials, Annals of Pure and Applied math., 1(2)(2012), 158 - 167.
[4]. P. Haarsa and S. Pothat . A Bulge Function on Volterra Integral Equations of the Second Kind by Using the Laplace Transform . AMS., . 9(1), 2015, no. 45 - 50. http://dx.doi.org/10.12988/ams.2015.411906.
[5]. J.H. He, X.H. Wu, Variational iteration method: new development and applications, Comput. Math. Appl. 54 (2007) 881–894.
[6]. S.A. Khuri, A. Sayfy, A Laplace variational iteration strategy for the solution of differential equations, Applied Mathematics Letters 25 (2012) 2298–2305.