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EN
In this paper we have studied the motion of an incompressible viscous conducting fluid about an harmonically oscillating vertical wall under fluid slip boundary condition at the wall and subjected to a uniform weak transverse magnetic filed. Effects of variations of the magnetic field and the slip parameter on the evolution of the velocity filed and shear stress are determined and discussed.
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Content available remote The linear generalized chaos synchronization and predictability
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EN
In this paper, we study generalized chaos synchronization of two Lorenz dynamical systems via linear transformation. This synchronization method is based on the stability criterion of linear systems. This method does not require calculation of the Lyapunov exponents. We obtain the functional relationship between the states of the driving system and response system. Finally, we show the simulation results.
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Content available remote A mathematicaI model for turbulent bubble plume
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EN
A mathematical model for the underwater turbulent bubble plume has been constructed, assuming that slip velocity occurs between the gaseous and liquid phases. Such two-phase turbulent plume may be studied with the help of continuity equation and any one of governing equations e.g., momentum equation and the equation of energy. The present model has been constructed using the continuity equation and the equation of energy. In contrast to existing assumptions e.g., constant entrainment coefficient and constant spreading rate of the width it is assumed in the present model that the width of the plume spreads exponentially with the distance from the exit level of the plume. The distribution of the centerline velocity, relative entrainment coefficient and the relative Froude number are computed in a straight forward manner and discussed thoroughly.
EN
In this paper, we have derived several self-preserving turbulence energy spectra for the case of a homogeneous, isotropic, particle-laden turbulent flow, assuming different forms for the energy transfer spectra, as those obtained from the general form for such a transfer spectrum due to TENNEKES [10] and YAGLOM [11]. All these self-preserving turbulence energy spectra are then analyzed from the view-point that the turbulence is affected by the particles in a homogeneous isotropic, particle-laden turbulent flow.
EN
In this paper, the effects of a magnetic field acting perpendicularly to the direction of an oscillatory, viscous, conducting, incompressible fluid stream past a fixed plane wall is investigated. The problem is first converted to the Stokes second problem by introducing a new coordinate system and prescribing the appropriate forms for the pressure gradient corresponding to two sets of boundary and initial conditions. Solutions to the problem are then obtained by invoking an invariance principle, and computed numerically for different values of a magnetic parameter. The effects of the transversal magnetic field on the velocity profiles are finally discussed.
EN
In this paper, the unsteady unidirectional motion of an incompressible vicous fluid, produced by sinusoidal oscillation of a rigid plane wall and subjected to a uniform magnetic field acting perpendicularly to the flow direction is investigated. The basic equation, governing the motion of such a flow is expressed in non-dimensional form. It is shown that this equation admits two solutions which satisfy the respective sets of boundary and initial conditions. The results, showing the development of the velocity field in time for different values of the magnetic parameter, are presented graphically and discussed.
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Content available remote Some aspects of Rikitake system of dynamical equations
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EN
In this paper, some characteristic features of a dynamical system proposed by Rikitake (1958), as a model for the self-generation of the Earth's magnetic field by large current carrying eddies in the core are examined. First, a linear stability analysis of a fixed point of the Rikitake system of three dynamical equations is made. Next, utilizing the conjecture that an integral of motion must assume constant value when evaluated at a singularity, a few integrals of motion of the Rikitake system are worked out. Finally, the effects of a linear feedback control on the linearized versions of the Rikitake system in terms of state perturbation variables, are investigated. The dynamical equations are solved numerically by the fourth order Runge-Kutta method. The results are presented graphically and discussed.
8
Content available remote On the peristaltic transport of a micropolar fluid
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EN
In this paper, we study some characteristics of the peristaltic motion of an incompressible micropolar fluid through a circular cylindrical tube. Many authors have investigated the peristaltic motion of non-Newtonian or viscoelastic fluid through a channel or tube due to the relevance of peristaltic action in both mechanical and physiological situations. For example, peristaltic mechanism may be involved in vasomotion of small blood vessels. Here the microstructural effects on the pressure rise, average flow and friction force are investigated.
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Content available remote Three control strategies for unified chaotic system
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EN
The aim of this paper is to discuss the dislocated feedback control, enhancing feedback control and speed feedback control for controlling chaos in a unified chaotic system.These control strategies are based on the Luapunov stability theory and Routh-Hurwitz theorem. The sufficient conditions for the control parameter for controlling chaos in the unified chaotic system by using the above three methods are derived. Finally, numerical simulation results are presented to demnonstrate the effectiveness of the control strategies.
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Content available remote Generalized anti-synchronization of different chaotic systems
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EN
In this paper, we propose the theory of generalized anti-synchronization of two chaotic systems via linear transformations. We also propose the theory for generalized anti-synchronization of two non-autonomous chaotic systems. The functional relationship between the driving system and driven system after generalized anti-synchronization can be predicted by our theory. We discuss our theory taking a chaotic dynamo model and a four dimensional hyper-chaotic Chen and Lu system as examples. Finally, simulation results are presented to show the efficiency of our method.
EN
In this paper, a simple model for the oscillatory flow of blood through a stenosed artery is considered. Blood is considered throughout the whole tube (arterial) to be a suspension mainly of red ceIls. A standard distribution of the red celIs is assumed which is based on the idea that the concentration of the red celIs and hence viscosity of blood is higher towards the center of the tube. In effect, viscosity as assumed to vary radialIy. Analytical expressions for the axial velocity, the volumetric flow rate, resistive impedance and phase lag are derived. Effects of hematocrit level on these flow characteristics are discussed.
EN
In this paper, a model is presented for investigating some hydrodynamic characteristics of blood flow through a large arterial vessel of slightly non-circular cross section. The viscosity of blood is assumed non-uniform due to a distribution of erythrocytes (red cells). The effects of such variation of viscosity on the hydrodynamic flow characteristics, e.g., velocity profiles, volumetric flow rate and shear stress distribution are investigated. These characteristics are then compared with the similar results obtained for the case of blood flow through the corresponding tube of circular cross section.
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