... strictly positive for every J ∈ J and almost every x ∈ ∆, and depends continuously on J for almost 646 ARTUR AVILA AND GIOVANNI FORNI every x Thus, for every δ > and J ∈ J , there exists Cδ (J) ... ΩN , and < ρ < ρ0 (Z) so that (3.13) and (3.20) hold and let δ < 1/10 be so small that ρ ln Al (3.23) µ(∆l ) − ρµ( + ln + Al (2δ)ρ l∈ΩN \Z ∆l ) = α < 0, l∈Z (this is possible by (3.13)) and (3.24) ... Nogueira-Rudolph [NR], we define π ∈ Sd to be standard if π(1) = d and π(d) = They proved that every Rauzy class contains at least 656 ARTUR AVILA AND GIOVANNI FORNI one standard permutation [NR], Lemma 3.2...
... relative abilities of earnings and operating cash flows to predict future operating cash flows; and ii) firms' time series properties of operating cash flows, accruals and earnings We also predict ... from the random walk property for example Brooksand Buckmaster (1976) and more recently Finger (1994) and Ramakrishnan and Thomas (1995) 2 The third contribution is to explain why, and show empirically ... relative abilities of earnings and operating cash flows to predict future operating cash flowsand for the average time series properties of operating cash flows, accruals and earnings Section compares...
... investment flows Do BITs Really Work?: An Evaluation of Bilateral Investment Treaties and Their Grand Bargain 109 jeswald w salacuse and nicholas p sullivan Bilateral Investment Treaties and ... foreign direct investment flows 24 The Effect of Tax and Investment Treaties on Bilateral FDI Flows to Transition Economies 687 tom coupé, irina orlova and alexandre skiba Selected Bibliography ... domestic and international tax issues, and is the author of International Tax as International Law: U.S Tax Law and the International Tax Regime (2007) and U.S International Taxation: Cases and Materials...
... paper, we first report and discuss the fundamental micro-fluidmechanics issues and then review flow sensing and control using MEMS 2.1 SIZE EFFECTS Ratio Between Surface Force and Body Force Length ... shear-stress sensor has a sensitivity of 100 mV/Pa and a bandwidth of 10 kHz and higher This type of micro sensor can also be integrated into a large array and can even form a flexible skin to be placed ... CALIFORNIA INSTITUTE OF TECHNOLOGY on 09/08/05 For personal use only MEMS & FLUID FLOWS 581 a difference: 3-D and freestanding structures are common features, because of the nature of mechanical parts...
... Stretching, and Diffusion Some Remarkable Properties of the Vorticity in Ideal Fluid Flows Conserved Quantities in Ideal and Viscous Fluid Flows Leray’s Formulation of IncompressibleFlowsand Hodge’s ... blank Vorticity andIncompressible Flow ANDREW J MAJDA New York University ANDREA L BERTOZZI Duke University PUBLISHED BY CAMBRIDGE UNIVERSITY PRESS (VIRTUAL PUBLISHING) FOR AND ON BEHALF OF ... Incompressible Fluid Flows The Euler and the Navier–Stokes Equations Symmetry Groups for the Euler and the Navier–Stokes Equations Particle Trajectories The Vorticity, a Deformation Matrix, and...
... methodology and scenarios used in the paper and a summary of overall current investment and financial flows (chapters II and III); An analysis of needs and corresponding investment and financial flows ... health and social work, other community, social and personal services 27 INVESTMENT AND FINANCIAL FLOWS CURRENT AND REFERENCE SCENARIO TO ADDRESS CLIMATE CHANGE UN FCCC INVESTMENT AND FINANCIAL FLOWS ... investment and financial flows 83 79 3.5 INTERPRETATION OF THE ESTIMATES OF INVESTMENT AND FINANCIAL FLOWS Estimates of investment and financial flows are for a given calendar year The investments flows...
... different file name and revert back to the separate heater and cooler case for subsequent modules 13 14 Templates and Sub-Flowsheets Creating and Manipulating Sub-flowsheets Sub-flowsheets can be ... the main flowsheet level Select the sub-flowsheet icon and delete it as it is now empty Viewing and Editing the Sub-Flowsheet Pressing the Sub-Flowsheet Environment button on the sub-flowsheet ... sub flowsheet into another case Templates and Sub-Flowsheets Installing a Template in a Simulation Flowsheet icon Reactivate the flowsheet from the previous module To install click on the Flowsheet...
... relative to net cash flowsand cash from operations to reflect firm performance Net cash flows will fluctuate with cash inflows and outflows associated with the firm’s investment and financing activities ... realized cash flows or earnings and stock returns in a given measurement interval First, realized cash flows (earnings) could suffer from matching problems because the cash inflows and cash outflows ... abs(AA) is small and earnings and net cash flows are most similar, the R2 on net cash flows is 16.20 and on earnings 16.84 However, when abs(AA)is large (quintile 5), net cash flows has an R2...
... Balance, and Unemployment Table 3.1 Oil Demand Price and Income Elasticities Table 3.2 Oil Demand Price and Income Elasticities, Including Oil-Exporting Economies Table 3.3 Oil Demand Price and Income ... Chapter International Capital Flows: Reliable or Fickle? What Are the Main Findings? Trends in Net Capital Flows: Size, Composition, Volatility, and Persistence Capital Flowsand the Global Environment ... Emerging and Developing Economies: Balance on Current Account Table A13 Emerging and Developing Economies: Net Financial Flows Table A14 Emerging and Developing Economies: Private Financial Flows...
... Tridiagonal Systems 491 491 493 Part V Applications to Inviscidand Viscous Flows 541 11 Numerical Simulation of InviscidFlows Objectives and guidelines 545 545 493 495 498 501 504 505 506 507 ... and Fourier Modes 9.2.2 Error Analysis of Space and Time Discretized Systems 9.2.2.1 Diffusion and dispersion errors of the time integration 9.2.2.2 Diffusion and dispersion errors of space and ... algorithm and hardware performance Improvements in geometry and grid generation to handle complexity such as high-lift slats and flaps, deployed spoilers, deflected control surfaces and so on,...
... correction by Wu and Shu (Wu and Shu (2009); Wu and Shu (2010); Wu and Shu (2012), demands very complicated matrix operations along with significant computational memory usage and sequential coding ... viscoelastic flows (Boger (1987); Malaspinas et al (2010)) and micro channel flows (Lim et al (2002); Chen and Tian (2009); Verhaeghe et al (2009); Shi and Tang (2014)) In the standard LBM, the ... relates to thermal and non-thermal conditions In the present scope of study, only the applications involving natural convection flowsand particulate flows are identified and assessed Many significant...
... perform well and enjoy certain popularity in many areas of scientific research and engineering analysis 1.1.1 Limitations of traditional body-fitted method Despite the good performance and popularity ... accuracy and CPU time required To overcome the difficulties associated with the geometrical complexity, two techniques have been introduced: structured curvilinear mesh for FD and FV methods and unstructured ... FV and FE (finite element) methods Structured curvilinear mesh allows boundaries to be aligned with constant coordinate lines and is capable of providing a good representation of boundaries and...
... couples the velocity and pressure This constraint is the major difficulty in solving the incompressible Navier-Stokes equations and could be successfully overcome by the popular and well-established ... calculation and spreading process This strategy allows for a straightforward and smoother transfer between Eulerian and Lagrangian representations, therefore making the scheme more stable and easier ... Chapter Governing Equations and Boundary Condition-Enforced IBM CL = FL (2.29) ρU ∞ D where FD and FL are the drag and lift forces on the cylinder surface For unsteady flows, their time-mean values...
... to n + , 1) Use u n and ω n as initial flow field to solve Eqs (3.8) and (3.9) and obtain predicted vorticity ω * and stream function ϕ * ; 2) Substitute ϕ * to Eqs (3.4) and (3.5) to calculate ... simulation, a domain with width cm and height cm (Fig 3.10) is taken The density ρ and viscosity μ of incompressible viscous fluid filled in the domain are 1.0 g / cm3 and 0.1g /(cm⋅ s) , respectively ... in Figs 3.12-3.15 Here, Re and ET ρ pd p U + V are defined as Re = μ and ET = 0.5m p (U + V ) , respectively, where U and V are velocity components of particle center, and m p is the mass of the...
... circular cylinder and natural convection in a concentric annulus between a square outer cylinder and a circular inner cylinder The obtained numerical results are very accurate and stable, and agree well ... interaction problem and only the velocity field can influence the temperature field The fluid flow and heat transfer are characterized by the Reynolds number Re = ρU ∞ D μ and Prandtl number Pr = ... ∫ ΔQ ( X(s, t ) ) ds Ω (4.24) Γ in which the LHS (left hand side) is the volume integral in the whole fluid domain, and the RHS (right hand side) is the surface integral along the cylinder wall...
... The fluid flow and heat transfer of the problem are characterized by the Rayleigh number Ra , Prandtl number Pr , radius ratio Ro / Ri and eccentricity ε = e / G , where Ra , Pr and G have the ... heated circular cylinder which is immersed in a cold free stream and releases constant and uniform heat flux is simulated for several low and moderate Reynolds numbers of 135 Chapter An Efficient ... Efficient IBM for Thermal Flow Problems with Heat Flux Boundary Condition Re = 10, 20, 40 and 100 and fixed Prandtl number of Pr = 0.7 The setups in the present problem are exactly the same as those...
... t / T flap = 0.1 and 0.6 This should be explained by the rotational circulation and wake capture mechanism For Gc = and 5, the symmetric and anti-symmetric behaviors are lost and the lift generated ... Applications of Developed IBM Solvers to Simulate 2D Fluid and Thermal Flows α AOA,0 and α AOA, m are the angles describing the mean value and amplitude of the sinusoidal oscillating rotation, respectively ... integration The drag and lift coefficients CH and CV , which are defined and normalized in the same way as Eldredge (2007) , are recorded for the first four flapping cycles in Figs 6.4 and 6.5 In all...
... contains a viscous andincompressible Newtonian fluid, and the surfaces of the outer and inner spheres are respectively maintained at constant low and high temperatures Tout and Tin ( Tout > Tin ... 3D Incompressible Thermal Flows The fluid and thermal behaviors at Re = 250 , in forms of average drag coefficient and Nusselt number, are compared with those established ones in Tables 7.3 and ... Solvers to Simulate 3D Incompressible Thermal Flows hand, is induced by buoyancy due to the temperature gradients so that the fluid and thermal fields interact intensively and are strongly coupled...