turning in a confined space

Ngày tải lên: 21/03/2014, 21:56

... Almost automorphic and pseudo almost automorphic mild solutions to an abstract differential equation in Banach spaces Nonlinear Anal TMA 2010, 72:1886-1894 15 Zhao Z-H, Chang Y-K, Li W-S: Asymptotically ... Da Prato G, Zabczyk J: Stochastic Equations in Infinite Dimensions Cambridge University Press, Cambridge; 1992 25 Pazy A: Semigroups of Linear Operators and Applications to Partial Equations In ... Lemmas 2.4-2.5) Our main result is established by using fractional powers of linear operators and Banach contraction principle The obtained result can be seen as a contribution to this emerging...

Ngày tải lên: 21/06/2014, 03:20

... Reich, “An iterative method for solving a class of nonlinear operator equations in Banach spaces,” Panamerican Mathematical Journal, vol 4, no 2, pp 39–54, 1994 12 S Kamimura and W Takahashi, “Strong ... Netherlands, 1990 W Takahashi, Nonlinear Functional Analysis, Yokohama Publishers, Yokohama, Japan, 2000 10 Ya I Alber, “Metric and generalized projection operators in Banach spaces: properties and ... spaces and consequently, it is not available in more general Banach spaces In this connection, Alber 10 recently introduced a generalized projection operator ΠC in a Banach space X which is an...

Ngày tải lên: 22/06/2014, 11:20

... cross-correlation and Dr Lua Kim Boon for his assistance in the Labview programming I am also grateful to the Technical Staffs of the Fluid Mechanics Laboratory for their valuable technical assistance and ... the stationary side wall and spirals up the sidewall before turning inwards radially again due to the top stationary endwall, where it spirals back down to form a concentrated vortex on the axis ... stated that the asymmetric features of the stationary vortex breakdown bubbles along the axis are related to asymmetries that originate inside the stationary-cover Ekman layer and the sidewall...

Ngày tải lên: 14/09/2015, 14:02

... viscosity and temperature obtained using a Haake Rheometer Since the data was sampled and acquired over about 20 minutes, Re is nominally constant For those cases with fixed Reynolds number and varying ... to allow efficient heat exchange between the fluid inside the cylinder and its surroundings, there is a gradual rise in the temperature of the fluid, resulting in an increase in Re at a rate ... grabber card in a PC For some cases, a high resolution still digital camera was also used to obtain good quality flow visualization images Figures 1.2 and 1.3 depicted in Chapter are typical flow...

Ngày tải lên: 14/09/2015, 14:02

... rotating end 34 CHAPTER NUMERICAL SIMULATION METHOD Two kinds of rotating motions were considered: a constant rotation only and a constant rotation with a superimposed sinusoidal modulation In all ... is adopted, with the origin at the centre of the rotating end wall and the positive-z axis pointing towards the stationary endwall R H z Ω θ r Fig 3.1 Flow configuration in a confined cylinder ... is axisymmetric, and the equations governing the flow are the axisymmetric Navier-Stokes equations, together with the continuity equation and appropriate boundary and initial conditions A cylindrical...

Ngày tải lên: 14/09/2015, 14:02

... mm, and a matching rotating disk at the top and a stationary disk at the bottom of the cylinder The height H of the flow domain, and the aspect ratio Λ = H/R, can be varied by moving the rotating ... stationary disk In all cases, the flow images were illuminated using fluorescent lamps, and captured using a video or a still digital camera The second apparatus (see Fig 4.2) is a modification ... shrinking downstream bubble resulted in the formation of a helical instability of increasing wavelength as the aspect ratio was increased, until an S-shape structure was produced (see Figs 4.8(h) and...

Ngày tải lên: 14/09/2015, 14:02

... bifurcations, the same strategy as in the numerical work of Marques et al (2002) was adopted in this study, i.e., once a desired state was obtained at a particular point in (Λ, Re) parameter space, ... flow, a dye sheet that is released an arbitrarily small distance off-axis will have a non-axisymmetric appearance with a predominately m = azimuthal wavenumber (see Lopez and Perry1992) As Re is increased ... that the flow at this point in parameter space was not axisymmetric Linear stability analysis of Gelfgat et al (2001) however, showed theoretically that the steady axisymmetric state is stable...

Ngày tải lên: 14/09/2015, 14:02

... spatial discretization, utilizing a Galerkin-Fourier expansion in the azimuthal coordinate θ and Chebyshev collocation in r and z The radial dependence of the variables is approximated by a Chebyshev ... boundary layer when ωf increases from 0.1 to 0.6 in steps of 0.1 We can clearly appreciate that the transition from an oscillating to a quiescent axial bubble is gradual and continuous with variation ... parity To avoid including the origin in the collocation mesh, an odd number of GaussLobatto points in r is used and the equations are solved only in the interval [0, 1] Following Orszag and Patera...

Ngày tải lên: 14/09/2015, 14:02

... was set at 2600 and below with the modulation amplitude A varying from 0.005 to 0.04, and the aspect ratio Λ was maintained at a constant value of 2.5 throughout Note that all flow visualization ... axis at mean rotation rates well below critical for the self-sustained vortex breakdown oscillations 150 CHAPTER HARMONICALLY FORCING ON A STEADY SWIRLING FLOW Previous linear stability analysis ... essentially steady, with the streamlines virtually identical to those of the A = steady state shown in Fig 7.1, and all the oscillations are concentrated in the bottom and sidewall boundary layers The...

Ngày tải lên: 14/09/2015, 14:02

... useful in applications where unsteady vortex breakdown is prevalent, such as the tail buffeting problem 156 CHAPTER CONCLUSIONS AND RECOMMENDATIONS 8.2 Recommendations A confined cylindrical container ... the rotating wave It will be a challenging task to examine if the numerically observed phenomena can be captured in laboratories 157 CHAPTER CONCLUSIONS AND RECOMMENDATIONS To explore the above-mentioned ... vortex breakdown in an enclosed cylindrical container”, Paper AIAA 2007-4360, 37th AIAA Fluid Dynamics Conference and Exhibit, 25-28 Jun 2007, Hyatt Regency, Miami, Florida, United States Y.D...

Ngày tải lên: 14/09/2015, 14:02

... P Li and J P Wang, Stable minimal hypersurfaces in a nonnegatively curved manifold, Jour Reine Angew Math 566 (2004) 215-230 [13] R Miyaoka, L2 harmonic 1-forms in a complete stable minimal hypersurface, ... complete manifolds with weighted Poincar´e inequality and applications, Nagoya Math Jour, 206 (2012) 25-37 [8] D Hoffman and J Spruck, Sobolev and isoperimetric iequalities for Riemannian submanifolds, ... Dung, Department of Mathematics, Mechanics and Informatics (MIM), Hanoi University of Sciences (HUS-VNU), No 334, Nguyen Trai Road, Thanh Xuan, Hanoi, Vietnam E-mail address: dungmath@gmail.com...

Ngày tải lên: 14/10/2015, 07:52

... continuity of St , which is not available in the initial Banach space Section deals with the particular case when the delay time is state independent Here we also compare the results with the state-dependent ... occurring in aeroelasticity, J Soviet Math 58 (1992) 385–390 [6] I.D Chueshov, A. V Rezounenko, Global attractors for a class of retarded quasilinear partial differential equations, C R Acad Sci., ... semilinear parabolic equations, Nonlinear Anal 34 (1998) 907–925 [8] J Wu, Theory and Applications of Partial Functional Differential Equations, Springer-Verlag, New York, 1996 [9] H.-O Walther,...

Ngày tải lên: 29/10/2015, 14:19

... Adding a swap file To add swap space on a system, add a swap file by using the following steps: Create a file that is equal in size to the swap file that is going to be created Do this by using ... entry in made in /etc/fstab Reflection This method is the quickest and easiest way to add swap space However, it does create some problems By creating this swap file on a partition that is already ... mkswap –f /root/swap.swp or type /sbin/mkswap –f /root/swap.swp To activate this swap file, use the swapon command To make this swap file inactive, use the swapoff command in place of the swapon...

Ngày tải lên: 16/10/2013, 21:15

... minimal surfaces with small interior boundaries are graphical away from the boundary Here small means contained in a small ball 527 PLANAR DOMAINS A “pair of pants” (in bold) Graphical annuli (dotted) ... surfaces with small interior boundaries are graphical away from the boundary Here small means contained in a small ball in R3 (and not that the interior boundary has small length) 534 TOBIAS ... is a stable subset of a minimal surface given as half of a normal tubular neighborhood (in the surface) of a strictly convex curve For instance, a curve lying in the boundary of an intrinsic ball...

Ngày tải lên: 14/02/2014, 17:20

... of the data for operational use.4 Recommendation: NASA and NOAA should initiate the necessary planning to transition solar and geospace imaging instrumentation into operational programs for the ... Recommendation: In collaboration with other interested agencies, the NSF and NASA should take the lead in initiating a program in laboratory plasma science that can provide new understanding of fundamental ... Earth and Beyond: A Decadal Research Strategy in Solar and Space Physics http://www.nap.edu/catalog/10477.html The Sun to the Earth —and Beyond A Decadal Research Strategy in Solar and Space...

Ngày tải lên: 05/03/2014, 11:21

... together along an axis GRAPHICAL OFF THE AXIS 31 BR A B C Figure 4: Proving Theorem 0.2 A Finding a small N -valued graph in Σ B Extending it in Σ to a large N -valued graph C Extending the number ... result from [CM4] asserting that an embedded minimal disk with large curvature at a point contains a small, almost flat, multi-valued graph nearby Namely, we prove in [CM4] the following theorem: Theorem ... MINICOZZI II Part III The general case of Theorem I.0.8 III.1 Constructing multi-valued graphs in disks in slabs Using Part I, we show next that an embedded minimal disk in a slab contains a...

Ngày tải lên: 14/03/2014, 22:20

... of the data for operational use.4 Recommendation: NASA and NOAA should initiate the necessary planning to transition solar and geospace imaging instrumentation into operational programs for the ... Recommendation: In collaboration with other interested agencies, the NSF and NASA should take the lead in initiating a program in laboratory plasma science that can provide new understanding of fundamental ... Earth and Beyond: A Decadal Research Strategy in Solar and Space Physics http://www.nap.edu/catalog/10477.html The Sun to the Earth —and Beyond A Decadal Research Strategy in Solar and Space...

Ngày tải lên: 15/03/2014, 15:20