Three-Dimensional Flow Patterns in Two-Dimensional Wakes

1992 ◽  
Vol 114 (3) ◽  
pp. 356-361 ◽  
Author(s):  
G. S. Triantafyllou
Keyword(s):  
Three Dimensional ◽  
Point Of View ◽  
Asymptotic State ◽  
Spanwise Direction ◽  
Two Dimensional ◽  
Average Flow ◽  
Instability Modes ◽  
Parallel Shear Flows ◽  
Visualization Experiments ◽  
Vortex Patterns

The development of three-dimensional patterns in the wake of two-dimensional objects is examined from the point of view of hydrodynamic stability. It is first shown that for parallel shear flows, which are homogeneous along their span, the time-asymptotic state of the instability is always two-dimensional. Subsequently, the effect of flow inhomogeneities in the spanwise direction is examined. Slow modulations of the time-average flow in the span wise direction, and localized regions of strongly inhomogeneous flow are separately considered. It is shown that the instability modes of an average flow with a slow modulation along the span have a spanwise wavelength equal to twice that of the average flow. Moreover, for the same average flow two instability modes are possible, identical in every respect except from their spanwise structure. Localized inhomogeneities on the other hand can generate through linear resonances inclined vortex filaments in the homogeneous part of the fluid. The theory provides an explanation for the vortex patterns observed in recent flow visualization experiments, and a theoretical justification of the cosine law for the frequency of inclined vortex shedding (Williamson, 1988).

The Aerodynamics of Three-Dimensional Vaned Diffusers in Industrial Centrifugal Compressors

2005 ◽  
Author(s):  
Ahmed Abdelwahab
Keyword(s):  
Centrifugal Compressor ◽  
Dynamic Pressure ◽  
Three Dimensional ◽  
Pressure Recovery ◽  
Navier Stokes ◽  
Spanwise Direction ◽  
Two Dimensional ◽  
Blade Loading ◽  
Recovery Capacity ◽  
Close Proximity

Vaned diffusers have been used successfully as efficient and compact dynamic pressure recovery devices in industrial centrifugal compressor stages. Typically such diffusers consist of a cascade of two-dimensional blades distributed circumferentially at close proximity to the impeller exit. In this paper three low-solidity diffuser blade geometries are numerically investigated. The first geometry employs variable stagger stacking of similar blade sections along the blade span. The second employs linearly inclined stacking to generate blade lean along the diffuser span. The third geometry employs the conventional two-dimensional low-solidity diffuser geometry with no variable stagger or lean. The variable stagger blade arrangement has the potential of better aligning the diffuser leading edges with the highly non-uniform flow leaving the impeller. Both variable stagger and linearly leaned diffuser blade arrangements, however, have the effect of redistributing the blade loading and flow streamlines in the spanwise direction leading to improved efficiency and pressure recovery capacity of the diffuser. In this paper a description of the proposed diffuser geometries is presented. The results of Three-dimensional Navier-Stokes numerical simulations of the three centrifugal compressor arrangements are discussed. Comparisons between the performance of the two and three-dimensional diffuser blade geometries are presented. The comparisons indeed show that the variable stagger and leaned diffusers present an improvement in the diffuser operating range and pressure recovery capacity over the conventional two-dimensional diffuser geometry.

Three-dimensional dynamics and transition to turbulence in the wake of bluff objects

1992 ◽  
Vol 238 ◽  
pp. 1-30 ◽  
Author(s):  
George Em Karniadakis ◽  
George S. Triantafyllou
Keyword(s):  
Reynolds Number ◽  
Three Dimensional ◽  
Period Doubling ◽  
Reynolds Numbers ◽  
Transition To Turbulence ◽  
Two Dimensional ◽  
Near Wake ◽  
Vortex Filaments ◽  
Average Flow ◽  
Time Average

The wakes of bluff objects and in particular of circular cylinders are known to undergo a ‘fast’ transition, from a laminar two-dimensional state at Reynolds number 200 to a turbulent state at Reynolds number 400. The process has been documented in several experimental investigations, but the underlying physical mechanisms have remained largely unknown so far. In this paper, the transition process is investigated numerically, through direct simulation of the Navier—Stokes equations at representative Reynolds numbers, up to 500. A high-order time-accurate, mixed spectral/spectral element technique is used. It is shown that the wake first becomes three-dimensional, as a result of a secondary instability of the two-dimensional vortex street. This secondary instability appears at a Reynolds number close to 200. For slightly supercritical Reynolds numbers, a harmonic state develops, in which the flow oscillates at its fundamental frequency (Strouhal number) around a spanwise modulated time-average flow. In the near wake the modulation wavelength of the time-average flow is half of the spanwise wavelength of the perturbation flow, consistently with linear instability theory. The vortex filaments have a spanwise wavy shape in the near wake, and form rib-like structures further downstream. At higher Reynolds numbers the three-dimensional flow oscillation undergoes a period-doubling bifurcation, in which the flow alternates between two different states. Phase-space analysis of the flow shows that the basic limit cycle has branched into two connected limit cycles. In physical space the period doubling appears as the shedding of two distinct types of vortex filaments.Further increases of the Reynolds number result in a cascade of period-doubling bifurcations, which create a chaotic state in the flow at a Reynolds number of about 500. The flow is characterized by broadband power spectra, and the appearance of intermittent phenomena. It is concluded that the wake undergoes transition to turbulence following the period-doubling route.

scholarly journals Coherent structures and chaotic advection in three dimensions

2010 ◽  
Vol 654 ◽  
pp. 1-4 ◽  
Author(s):  
STEPHEN WIGGINS
Keyword(s):  
Dynamical Systems ◽  
Fluid Mechanics ◽  
Coherent Structures ◽  
Three Dimensional ◽  
Point Of View ◽  
Three Dimensions ◽  
Chaotic Advection ◽  
Periodic Flow ◽  
Two Dimensional ◽  
Time Periodic

In the 1980s the incorporation of ideas from dynamical systems theory into theoretical fluid mechanics, reinforced by elegant experiments, fundamentally changed the way in which we view and analyse Lagrangian transport. The majority of work along these lines was restricted to two-dimensional flows and the generalization of the dynamical systems point of view to fully three-dimensional flows has seen less progress. This situation may now change with the work of Pouransari et al. (J. Fluid Mech., this issue, vol. 654, 2010, pp. 5–34) who study transport in a three-dimensional time-periodic flow and show that completely new types of dynamical systems structures and consequently, coherent structures, form a geometrical template governing transport.

scholarly journals Modeling in AUTOCAD for bachelors

2021 ◽  
pp. 25-28
Author(s):  
Л.В. Карпюк ◽  
Н.О. Давіденко
Keyword(s):  
3D Model ◽  
Three Dimensional ◽  
Model Space ◽  
Educational Process ◽  
Point Of View ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Three Dimensional Objects ◽  
Graphic Editor

The article discusses the methods of using the AutoCad graphic editor for creating three-dimensional objects. The possibilities of three-dimensional modeling in the AutoCad graphic editor for optimizing the educational process of bachelors of technical specialties are also considered. The article analyzes the best ways to create mechanical engineering drawings.The most developed software tool for the production of design documentation is AutoCAD - a universal graphic design system. Creating models of any complexity in space by using this graphic editor, the user will be able to see their relative position, estimate the distance between them. The model can be freely moved in space, viewing many options. The ability to control the point of view allows to conveniently select the view of the 3D model that is being developed. Zooming, panning in real time with the ability to freely rotate the camera around the model provide the ability to quickly view objects from any point of view. The article provides examples of choosing the most optimal option for creating a three-dimensional model. The traditional way to create a 3D model drawing is to make 2D views of the model. When creating a flat drawing, there is a possibility of error when making projections, since they are created independently from each other and consist of several images. It is rather difficult to represent an object in space from a flat drawing. At present, modern software graphic editors are aimed at creating three-dimensional models that allow to create realistic models and, on their basis, get two-dimensional projections. Graphic editor AutoCad allows to create three-dimensional objects based on standard commands, in the form of a cylinder, cone, box, torus, etc., when editing which you can get the desired shapes. After creating a three-dimensional model, the user can get its two-dimensional projections not only on the main planes, but also on any plane at will. The 3D modeling method allows you to create a complex drawing with any number of images based on a 3D model. There are ways to create 2D plane drawings from a 3D model and the ability to edit ready-made designs that can be inserted from model space into paper space. Editing takes place by changing the parameters of a 3D object in model space, and these changes are automatically reflected in paper space. This method allows us to use the tools to quickly create a system of 3-4 linked views for a 3D AutoCad model.

HYBRID REFLECTIONS IN POST-MODERN GRAPHIC DESIGN POSTERS

ATLAS JOURNAL ◽  
2021 ◽  
Vol 7 (44) ◽  
pp. 2207-2213
Author(s):  
Fatıma TOKGÖZ GÜN ◽  
Mehmet ÖZKARTAL
Keyword(s):  
Graphic Design ◽  
Hybrid Methods ◽  
Three Dimensional ◽  
Point Of View ◽  
Two Dimensional ◽  
Use Of Technology ◽  
Work Area ◽  
Poster Art ◽  
Motion Images ◽  
Over Time

Hybrid works in art have many examples from past to present. Hybridization in poster art has been in question since the first years when posters started to appear. Hybridization in designs can occur in terms of both method and technique. In present study, it is mentioned how graphic design has removed the boundaries between itself and many disciplines since the use of technology in the field of art and how it allows hybrid studies. As it is known, the main purpose of graphic design is to convey an existing idea to the other party in the simplest way. For this reason, graphic design, which updates itself over time, has added motion and sound to its work area and shows itself with effective designs. While technically designs consist of two-dimensional studies for years, they can also be designed in three-dimensional or even four-dimensional forms with hybrid methods. While poster designs are prepared as flat and static, they update themselves with kinetic typography and motion images. Moreover, with hybrid presentations such as augmented reality and virtual reality in current works, designs interact more with people. It is seen that the artists who can think from a hybrid point of view attract more attention and interaction with the hybridity reflected in their designs, and they also reach the intended result in a catchy manner.

Spatio-temporal dynamics of a periodically driven cavity flow

2003 ◽  
Vol 478 ◽  
pp. 197-226 ◽  
Author(s):  
M. J. VOGEL ◽  
A. H. HIRSA ◽  
J. M. LOPEZ
Keyword(s):  
Free Surface ◽  
Stokes Equations ◽  
Temporal Dynamics ◽  
Three Dimensional ◽  
Spanwise Direction ◽  
Two Dimensional ◽  
Measured Velocity ◽  
Time Symmetry ◽  
Time Flow ◽  
Time Periodic

The flow in a rectangular cavity driven by the sinusoidal motion of the floor in its own plane has been studied both experimentally and computationally over a broad range of parameters. The stability limits of the time-periodic two-dimensional base state are of primary interest in the present study, as it is within these limits that the flow can be used as a viable surface viscometer (as outlined theoretically in Lopez & Hirsa 2001). Three flow regimes have been found experimentally in the parameter space considered: an essentially two-dimensional time-periodic flow, a time-periodic three-dimensional flow with a cellular structure in the spanwise direction, and a three-dimensional irregular (in both space and time) flow. The system poses a space–time symmetry that consists of a reflection about the vertical mid-plane together with a half-period translation in time (RT symmetry); the two-dimensional base state is invariant to this symmetry. Computations of the two-dimensional Navier–Stokes equations agree with experimentally measured velocity and vorticity to within experimental uncertainty in parameter regimes where the flow is essentially uniform in the spanwise direction, indicating that in this cavity with large spanwise aspect ratio, endwall effects are small and localized for these cases. Two classes of flows have been investigated, one with a rigid no-slip top and the other with a free surface. The basic states of these two cases are quite similar, but the free-surface case breaks RT symmetry at lower forcing amplitudes, and the structure of the three-dimensional states also differs significantly between the two classes.

scholarly journals Numerical and Experimental Study of Topographic Speed-Up Effects in Complex Terrain

Energies ◽  
2020 ◽  
Vol 13 (15) ◽  
pp. 3896 ◽  
Author(s):  
Takanori Uchida ◽  
Kenichiro Sugitani
Keyword(s):  
Wind Tunnel ◽  
Complex Terrain ◽  
Three Dimensional ◽  
Wind Tunnel Experiment ◽  
Dimensional Structure ◽  
Spanwise Direction ◽  
Two Dimensional ◽  
Wind Tunnel Experiments ◽  
Wire Probe ◽  
The Difference

Our research group is developing computational fluid dynamics (CFD)-based software for wind resource and energy production assessments in complex terrain called RIAM-COMPACT (Research Institute for Applied Mechanics, Kyushu University (RIAM)-Computational Prediction of Airflow over Complex Terrain), based on large eddy simulation (LES). In order to verify the prediction accuracy of RIAM-COMPACT, we conduct a wind tunnel experiment that uses a two-dimensional steep ridge model with a smooth surface. In the wind tunnel experiments, airflow measurements are performed using an I-type hot-wire probe and a split film probe that can detect forward and reverse flows. The results of the numerical simulation by LES are in better agreement with the wind tunnel experiment using the split film probe than the results of the wind tunnel experiment using the I-type hot wire probe. Furthermore, we calculate that the two-dimensional ridge model by changing the length in the spanwise direction, and discussed the instantaneous flow field and the time-averaged flow field for the three-dimensional structure of the flow behind the model. It was shown that the eddies in the downwind flow-separated region formed behind the two-dimensional ridge model were almost the same size in all cases, regardless of the difference in the length in the spanwise direction. In this study, we also perform a calculation with a varying inflow shear at the inflow boundary. It was clear that the size in the vortex region behind the model was almost the same in all the calculation results, regardless of the difference in the inflow shear. Next, we conduct wind tunnel experiments on complex terrain. In the wind tunnel experiments using a 1/2800 scale model, the effect of artificial irregularities on the terrain surface did not significantly appear on the airflow at the hub height of the wind turbine. On the other hand, in order to investigate the three-dimensional structure of the airflow in the swept area in detail, it was clearly shown that LES using a high-resolution computational grid is very effective.

Influence of vortex-pairing location on the three-dimensional evolution of plane mixing layers

2002 ◽  
Vol 462 ◽  
pp. 43-77 ◽  
Author(s):  
JORDI ESTEVADEORDAL ◽  
STANLEY J. KLEIS
Keyword(s):  
Time Evolution ◽  
Dimensional Space ◽  
Mixing Layer ◽  
Three Dimensional ◽  
Secondary Structures ◽  
Two Dimensional ◽  
Vortex Pairing ◽  
Instability Modes ◽  
Dimensional Measurements ◽  
Large Plane

Detailed three-dimensional measurements of the first vortex pairing of a large plane mixing layer reveal excitation of several three-dimensional instability modes. Time evolution in three-dimensional space (x, y, z, t) shows how the two-dimensional rollers become three-dimensional as they approach each other and that the linear growth of at least two instability waves leads to a spanwise periodic pairing. The results are based on phase-locked measurements made in three-dimensional spatial grids, with a mesh spacing of 8.5% of the fundamental instability wavelength. Spanwise-uniform, periodic acoustic excitation stabilizes the most probable two-dimensional natural features – roll-up and first pairing. The second subharmonic is added to study the effect of alternate streamwise pairing locations on the three-dimensional characteristics of vortex pairing. Velocities are measured using hot-wire anemometry, and the coherent structures are reconstructed from the ensemble-averaged vorticity field.Vortex pairing is shown to initiate through local ‘bridging’ at the maxima of periodic spanwise undulations. The undulations result from linear amplification of various instability modes on pairing rollers having different strengths. Bridging results from the change of the relative phase between the spanwise undulations of the pairing rollers from in-phase (due to the initial translative mode) to out-of-phase (due to the amplification of bulging-like and non-axisymmetric modes). It is found that when pairing occurs sufficiently far upstream, only axisymmetric waves are amplified and the evolution results in axisymmetric merging. In contrast, when pairing occurs sufficiently far downstream, both axisymmetric and non-axisymmetric waves are amplified and the evolution results in non-axisymmetric merging.The results indicate that vortex pairing is accompanied by the counter-rotating pairs of secondary structures (‘streamwise vortices’ or ‘ribs’) located in the mixing-layer braids and residing in the valleys of the spanwise-roller waves. Time evolution of these secondary structures shows that they move in the transverse direction, following the rollers.

Use of the mixing length concept to correctly reproduce velocity profiles of turbulent flows

1998 ◽  
Vol 25 (2) ◽  
pp. 232-240 ◽  
Author(s):  
Jean-Loup Robert ◽  
Mohamed Khelifi ◽  
Ahmed Ghanmi
Keyword(s):  
Turbulent Flows ◽  
Turbulent Viscosity ◽  
Three Dimensional ◽  
Velocity Profiles ◽  
Point Of View ◽  
The Other ◽  
Mixing Length ◽  
Two Dimensional ◽  
Constant Viscosity ◽  
Good Agreement

Since the viscous analogy of turbulence was introduced by Reynolds, many formulations for turbulent viscosity have been proposed. One of them, based on the mixing length concept, is investigated here in a broader point of view. The mixing length concept was used to correctly model turbulent velocity profiles for irregular two-dimensional and three-dimensional domains. Two cases of study were investigated for this purpose: a simple two-dimensional aerodynamic problem and a more complicated three-dimensional hydraulic problem. Results showed that the use of a constant viscosity fails to correctly reproduce experimental observations. On the other hand, the use of the mixing length concept leads to a good agreement between the measured and predicted values.Key words: fluid flow, finite element method, mixing length flow theory, turbulent flow, velocity profiles.

Direct numerical simulation of a breaking inertia–gravity wave

2013 ◽  
Vol 722 ◽  
pp. 424-436 ◽  
Author(s):  
S. Remmler ◽  
M. D. Fruman ◽  
S. Hickel
Keyword(s):  
Gravity Wave ◽  
Wave Breaking ◽  
Middle Atmosphere ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Vertical Direction ◽  
Domain Size ◽  
Boussinesq Equations ◽  
Two Dimensional ◽  
Instability Modes

AbstractWe have performed fully resolved three-dimensional numerical simulations of a statically unstable monochromatic inertia–gravity wave using the Boussinesq equations on an $f$-plane with constant stratification. The chosen parameters represent a gravity wave with almost vertical direction of propagation and a wavelength of 3 km breaking in the middle atmosphere. We initialized the simulation with a statically unstable gravity wave perturbed by its leading transverse normal mode and the leading instability modes of the time-dependent wave breaking in a two-dimensional space. The wave was simulated for approximately 16 h, which is twice the wave period. After the first breaking triggered by the imposed perturbation, two secondary breaking events are observed. Similarities and differences between the three-dimensional and previous two-dimensional solutions of the problem and effects of domain size and initial perturbations are discussed.

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