A Numerical Study of Periodically Forced Flows Using a Spectral-Projection Method
نویسنده
چکیده
Abst rac t . Recent experiments (Weisberg, Kevrekidis & Smits 1997) have demonstrated that the centrifugal instability leading to Taylor vortex flow can be controlled by harmonic oscillations of the inner cylinder in the axial direction. Marques & Lopez (1997) used linear Floquet analysis to study the control of the instability for the flow between two infinite length co-axial cylinders. However, nonlinear endwall effects have not been investigated previously for the physically realistic case of finite length co-axial cylinders. In this paper, we use an accurate and efficient spectral-projection scheme for the nonlinear axisymmetric Navier-Stokes equations to examine the endwalls effects and the breaking of space-time symmetries.
منابع مشابه
Periodically correlated and multivariate symmetric stable processes related to periodic and cyclic flows
In this work we introduce and study discrete time periodically correlated stable processes and multivariate stationary stable processes related to periodic and cyclic flows. Our study involves producing a spectral representation and a spectral identification for such processes. We show that the third component of a periodically correlated stable process has a component related to a...
متن کاملFree and Forced Transverse Vibration Analysis of Moderately Thick Orthotropic Plates Using Spectral Finite Element Method
In the present study, a spectral finite element method is developed for free and forced transverse vibration of Levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. Levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. In the first step, the governing out-of-plane differential equations are tr...
متن کاملNumerical Simulation of Incompressible Flows in Cylindrical Geometries Using a Spectral Projection Method
An efficient and accurate spectral projection scheme for numerical simulations of incompressible flows in cylindrical geometries is presented and implemented for studying a number of canonical rotating flows.
متن کاملNumerical Analysis of Fully Developed Flow and Heat Transfer in Channels with Periodically Grooved Parts (TECHNICAL NOTE)
To obtain a higher heat transfer in the low Reynolds number flows, wavy channels are often employed in myriad engineering applications. In this study, the geometry of grooves shapes is parameterized by means of four angles. By changing these parameters new geometries are generated and numerical simulations are carried out for internal fully developed flow and heat transfer. Results are compared...
متن کاملNumerical analysis of gas flows in a microchannel using the Cascaded Lattice Boltzmann Method with varying Bosanquet parameter
Abstract. In this paper, a Cascaded Lattice Boltzmann Method with second order slip boundary conditions is developed to study gas flows in a microchannel in the slip and transition flow regimes with a wide range of Knudsen numbers. For the first time the effect of wall confinement is considered on the effective mean free path of the gas molecules using a function with nonconstant Bosanquet para...
متن کامل