Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Nonlinear Stability Of Ekman Boundary Layers
Download Nonlinear Stability Of Ekman Boundary Layers full books in PDF, epub, and Kindle. Read online Nonlinear Stability Of Ekman Boundary Layers ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Nonlinear Stability of Ekman Boundary Layers in Rotation Stratified Fluids by : Hajime Koba
Download or read book Nonlinear Stability of Ekman Boundary Layers in Rotation Stratified Fluids written by Hajime Koba and published by . This book was released on 2014-10-03 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique global-in-time strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.
Book Synopsis Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids by : Hajime Koba
Download or read book Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids written by Hajime Koba and published by American Mathematical Soc.. This book was released on 2014-03-05 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique global-in-time strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.
Book Synopsis Nonlinear Stability of Ekman Boundary Layers by : Matthias Hess
Download or read book Nonlinear Stability of Ekman Boundary Layers written by Matthias Hess and published by . This book was released on 2008 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of the Nonlinear Stability of an Imcompressible Ekman Boundary Layer by : Hans Bruun Nielsen
Download or read book Numerical Solution of the Nonlinear Stability of an Imcompressible Ekman Boundary Layer written by Hans Bruun Nielsen and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Stability and Control of Three-dimensional Boundary Layers by : Erik Janke
Download or read book Nonlinear Stability and Control of Three-dimensional Boundary Layers written by Erik Janke and published by . This book was released on 1998 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Stability of Boundary Layers by : Ali H. Nayfeh
Download or read book Nonlinear Stability of Boundary Layers written by Ali H. Nayfeh and published by . This book was released on 1987 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Time Dependent and Spatially Varying Flows by : D.L. Dwoyer
Download or read book Stability of Time Dependent and Spatially Varying Flows written by D.L. Dwoyer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the collection of papers presented at the workshop on 'The Stability of Spatially Varying and Time Dependent Flows" sponsored by the Institute for Computer Applications in Science and Engineering (lCASE) and NASA Langley Research Center (LaRC) during August 19- 23, 1985. The purpose of this workshop was to bring together some of the experts in the field for an exchange of ideas to update the current status of knowledge and to help identify trends for future research. Among the invited speakers were D.M. Bushnell, M. Goldstein, P. Hall, Th. Herbert, R.E. Kelly, L. Mack, A.H. Nayfeh, F.T. Smith, and C. von Kerczek. The contributed papers were by A. Bayliss, R. Bodonyi, S. Cowley, C. Grosch, S. Lekoudis, P. Monkewitz, A. Patera, and C. Streett. In the first article, Bushnell provides a historical background on laminar flow control (LFC) research and summarizes the crucial role played by stability theory in LFC system design. He also identifies problem areas in stability theory requiring further research from the view-point of ap plications to LFC design. It is an excellent article for theoreticians looking for some down-to-earth applications of stability theory.
Download or read book "E9" written by Stanley A. Berger and published by . This book was released on 1977 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear and Nonlinear Stability of Boundary Layers with Streamwise Varying Properties by : Fabio Paolo Bertolotti
Download or read book Linear and Nonlinear Stability of Boundary Layers with Streamwise Varying Properties written by Fabio Paolo Bertolotti and published by . This book was released on 1991 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a new technique for the study of transition in convectively unstable flows that employs nonlinear partial differential equations of parabolic type based on the slow change of the basic-flow and the disturbance velocity profiles, wavelength, and growth rate in the streamwise direction. Solutions comparable in accuracy to direct Navier-Stokes simulations can be obtained with a marching procedure utilizing a small fraction of the computational cost.
Book Synopsis Nonlinear Stability of Three-dimensional Boundary Layers by : Erik Janke
Download or read book Nonlinear Stability of Three-dimensional Boundary Layers written by Erik Janke and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Equadiff 2003 - Proceedings Of The International Conference On Differential Equations by : Freddy Dumortier
Download or read book Equadiff 2003 - Proceedings Of The International Conference On Differential Equations written by Freddy Dumortier and published by World Scientific. This book was released on 2005-02-23 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume contains the state of the art on ODE's and PDE's of different nature, functional differential equations, delay equations, and others, mostly from the dynamical systems point of view.A broad range of topics are treated through contributions by leading experts of their fields, presenting the most recent developments. A large variety of techniques are being used, stressing geometric, topological, ergodic and numerical aspects.The scope of the book is wide, ranging from pure mathematics to various applied fields. Examples of the latter are provided by subjects from earth and life sciences, classical mechanics and quantum-mechanics, among others.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Book Synopsis Nonlinear Topics in Ocean Physics by : A.R. Osborne
Download or read book Nonlinear Topics in Ocean Physics written by A.R. Osborne and published by Elsevier. This book was released on 1991-07-04 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main fields presented at this school were mesoscale and large scale flows, and nonlinear wave dynamics. The resulting proceedings present the latest developments in these fields.
Book Synopsis A Two-dimensional Compressible, Nonlinear Stability Analysis with Applications to the Study of Boundary Layer Transition by : Gabriel Miller
Download or read book A Two-dimensional Compressible, Nonlinear Stability Analysis with Applications to the Study of Boundary Layer Transition written by Gabriel Miller and published by . This book was released on 1979 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computer program which can investigate the nonlinear response of a compressible boundary layer on a flat plate to any imposed external disturbance has been produced. The program first computes the boundary condition near the leading edge utilizing linear stability theory and then determines the disturbance field downstream as a function of time, utilizing the MacCormack time splitting explicit technique. The program originally created to provide a fundamental understanding of boundary layer response to acoustical disturbances has been modified so that a wide range of parameters can be varied. The effects of Mach number and wall conditions can be computed utilizing the program. (Author).
Book Synopsis Linear and Nonlinear Stability of Boundary Layers with by : Fabio Paolo Bertolotti
Download or read book Linear and Nonlinear Stability of Boundary Layers with written by Fabio Paolo Bertolotti and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stratified Ekman Layer Over a Rough Surface by : Sungwon Lee
Download or read book Stratified Ekman Layer Over a Rough Surface written by Sungwon Lee and published by . This book was released on 2020 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ekman layers over a rough surface are studied using direct numerical simulation (DNS). The roughness takes the form of periodic two-dimensional bumps whose non-dimensional amplitude is fixed at a small value (h+ = 15) and whose mean slope is gentle. The neutral Ekman layer is subjected to a stabilizing cooling flux for approximately one inertial period (2[pi]/ f) to impose the stratification. The Ekman Boundary Layer (EBL) is in a transitionally rough regime and, without stratification, the effect of roughness is found to be mild in contrast to the stratified case. Roughness, whose effect increases with the slope of the bumps, changes the boundary layer qualitatively from the very stable (Mahrt, 1998) regime, which has a strong thermal inversion and a pronounced low-level jet, in the flat case to the stable regime, which has a weaker thermal inversion and stronger surface-layer turbulence, in the rough cases. The flat case exhibits initial collapse of turbulence which eventually recovers, albeit with inertial oscillations in turbulent kinetic energy. The roughness elements interrupt the initial collapse of turbulence. In the quasi-steady state, the thickness of the turbulent stress profiles and of the near-surface region with sub-critical gradient Richardson number increase in the rough cases. Analysis of the turbulent kinetic energy (TKE) budget shows that, in the surface layer, roughness counteracts the stability-induced reduction of TKE production. The flow component, coherent with the surface undulations, is extracted by a triple decomposition, and leads to a dispersive component of near-surface turbulent fluxes. The significance of the dispersive component increases in the stratified cases. Motivated by the dynamics of the atmospheric boundary layer, we also examines the influence of Coriolis acceleration on wall-bounded turbulence. The large-scale structures of an Ekman boundary layer are compared to those of a channel. The distribution of energy across scales is studied by looking into the spectra of the velocity fluctuations. Linear stability analysis reveals the existence of an unstable range of wavenumbers which sustain the turbulence and lead to transverse "roll" structures observed in instantaneous snapshots of the flow. Finally, additional DNS has been performed to find the effect of the roughness geometry in counteracting the buoyancy. Changing the bump height without changing its aspect ratio has little influence. However, for sufficiently large surface cooling flux, roughness is unable to maintain a turbulent state. Comparison of all the simulated cases shows that the final value of Rib is sufficient to provide guidance on the overall state of the boundary layer and its characterization into the following regimes: (i) weakly stable, (ii) very stable with turbulence collapse and rebirth to a state of global intermittency, or (iii) very stable with turbulence collapse and no recovery.
Book Synopsis Boundary-Interior Layer Interactions in Nonlinear Singular Perturbation Theory by : Frederick A. Howes
Download or read book Boundary-Interior Layer Interactions in Nonlinear Singular Perturbation Theory written by Frederick A. Howes and published by American Mathematical Soc.. This book was released on 1978 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: For three classes of singularly perturbed boundary value problems we study the existence of solutions which possess boundary, shock and corner layer behavior and we examine how these nonuniformities arise and how they influence one another. The keys to our analysis are the stability properties of solutions of corresponding reduced problems and the geometric properties of solutions of the boundary value problems inside such layers. Several examples of the theory are discussed in detail with a view to illustrating the naturalness of our approach.
Book Synopsis Mathematical Analysis of the Navier-Stokes Equations by : Matthias Hieber
Download or read book Mathematical Analysis of the Navier-Stokes Equations written by Matthias Hieber and published by Springer Nature. This book was released on 2020-04-28 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects together a unique set of articles dedicated to several fundamental aspects of the Navier–Stokes equations. As is well known, understanding the mathematical properties of these equations, along with their physical interpretation, constitutes one of the most challenging questions of applied mathematics. Indeed, the Navier-Stokes equations feature among the Clay Mathematics Institute's seven Millennium Prize Problems (existence of global in time, regular solutions corresponding to initial data of unrestricted magnitude). The text comprises three extensive contributions covering the following topics: (1) Operator-Valued H∞-calculus, R-boundedness, Fourier multipliers and maximal Lp-regularity theory for a large, abstract class of quasi-linear evolution problems with applications to Navier–Stokes equations and other fluid model equations; (2) Classical existence, uniqueness and regularity theorems of solutions to the Navier–Stokes initial-value problem, along with space-time partial regularity and investigation of the smoothness of the Lagrangean flow map; and (3) A complete mathematical theory of R-boundedness and maximal regularity with applications to free boundary problems for the Navier–Stokes equations with and without surface tension. Offering a general mathematical framework that could be used to study fluid problems and, more generally, a wide class of abstract evolution equations, this volume is aimed at graduate students and researchers who want to become acquainted with fundamental problems related to the Navier–Stokes equations.
