Journal articles: 'Flow geometries'

1

Li, Ji‐Ming, and Wesley R. Burghardt. "Flow birefringence in axisymmetric geometries." Journal of Rheology 39, no. 4 (July 1995): 743–66. http://dx.doi.org/10.1122/1.550655.

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2

Sheng, Ping, and Minyao Zhou. "Fluid Flow in Restricted Geometries." Israel Journal of Chemistry 31, no. 2 (1991): 71–87. http://dx.doi.org/10.1002/ijch.199100008.

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3

Rallabandi, Bhargav, Alvaro Marin, Massimiliano Rossi, Christian J. Kähler, and Sascha Hilgenfeldt. "Three-dimensional streaming flow in confined geometries." Journal of Fluid Mechanics 777 (July 20, 2015): 408–29. http://dx.doi.org/10.1017/jfm.2015.336.

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Steady streaming vortex flow from microbubbles has been developed into a versatile tool for microfluidic sample manipulation. For ease of manufacture and quantitative control, set-ups have focused on approximately two-dimensional flow geometries based on semi-cylindrical bubbles. The present work demonstrates how the necessary flow confinement perpendicular to the cylinder axis gives rise to non-trivial three-dimensional flow components. This is an important effect in applications such as sorting and micromixing. Using asymptotic theory and numerical integration of fluid trajectories, it is shown that the two-dimensional flow dynamics is modified in two ways: (i) the vortex motion is punctuated by bursts of strong axial displacement near the bubble, on time scales smaller than the vortex period; and (ii) the vortex trajectories drift over time scales much longer than the vortex period, forcing fluid particles onto three-dimensional paths of toroidal topology. Both effects are verified experimentally by quantitative comparison with astigmatism particle tracking velocimetry (APTV) measurements of streaming flows. It is further shown that the long-time flow patterns obey a Hamiltonian description that is applicable to general confined Stokes flows beyond microstreaming.

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4

GRIFFITH, M. D., T. LEWEKE, M. C. THOMPSON, and K. HOURIGAN. "Pulsatile flow in stenotic geometries: flow behaviour and stability." Journal of Fluid Mechanics 622 (March 10, 2009): 291–320. http://dx.doi.org/10.1017/s0022112008005338.

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Pulsatile inlet flow through a circular tube with an axisymmetric blockage of varying size is studied both numerically and experimentally. The geometry consists of a long, straight tube and a blockage, semicircular in cross-section, serving as a simplified model of an arterial stenosis. The stenosis is characterized by a single parameter, the aim being to highlight fundamental behaviours of constricted pulsatile flows. The Reynolds number is varied between 50 and 700 and the stenosis degree by area between 0.20 and 0.90. Numerically, a spectral element code is used to obtain the axisymmetric base flow fields, while experimentally, results are obtained for a similar set of geometries, using water as the working fluid. For low Reynolds numbers, the flow is characterized by a vortex ring which forms directly downstream of the stenosis, for which the strength and downstream propagation velocity vary with the stenosis degree. Linear stability analysis is performed on the simulated axisymmetric base flows, revealing a range of absolute instability modes. Comparisons are drawn between the numerical linear stability analysis and the observed instability in the experimental flows. The observed flows are less stable than the numerical analysis predicts, with convective shear layer instability present in the experimental flows. Evidence is found of Kelvin–Helmholtz-type shear layer roll-ups; nonetheless, the possibility of the numerically predicted absolute instability modes acting in the experimental flow is left open.

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5

Oussoren, Andrew, Jovica Riznic, and Shripad Revankar. "ICONE23-2115 MODELING CRITICAL FLOW IN CRACK GEOMETRIES USING TRACE." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2015.23 (2015): _ICONE23–2—_ICONE23–2. http://dx.doi.org/10.1299/jsmeicone.2015.23._icone23-2_44.

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6

Rajagopalan, Dilip, Arun P. Aneja, and Jean-Marie Marchal. "Modeling Capillary Flow in Complex Geometries." Textile Research Journal 71, no. 9 (September 2001): 813–21. http://dx.doi.org/10.1177/004051750107100911.

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7

Dockx, Greet, Tom Verwijlen, Wouter Sempels, Mathias Nagel, Paula Moldenaers, Johan Hofkens, and Jan Vermant. "Simple microfluidic stagnation point flow geometries." Biomicrofluidics 10, no. 4 (July 2016): 043506. http://dx.doi.org/10.1063/1.4954936.

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8

Miller, Ryan M., John P. Singh, and Jeffrey F. Morris. "Suspension flow modeling for general geometries." Chemical Engineering Science 64, no. 22 (November 2009): 4597–610. http://dx.doi.org/10.1016/j.ces.2009.04.033.

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9

Juntunen, Mika, and Mary F. Wheeler. "Two-phase flow in complicated geometries." Computational Geosciences 17, no. 2 (November 1, 2012): 239–47. http://dx.doi.org/10.1007/s10596-012-9326-y.

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10

Zumaeta, Nixon, Edmond P. Byrne, and John J. Fitzpatrick. "Predicting precipitate breakage during turbulent flow through different flow geometries." Colloids and Surfaces A: Physicochemical and Engineering Aspects 292, no. 2-3 (January 2007): 251–63. http://dx.doi.org/10.1016/j.colsurfa.2006.06.032.

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11

Salmon, Stéphanie, Soyibou Sy, and Marcela Szopos. "Cerebral blood flow simulations in realistic geometries." ESAIM: Proceedings 35 (March 2012): 281–86. http://dx.doi.org/10.1051/proc/201235028.

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12

Menni, Younes, Ali J. Chamkha, and Ahmed Azzi. "Nanofluid Flow in Complex Geometries—A Review." Journal of Nanofluids 8, no. 5 (October 1, 2018): 893–916. http://dx.doi.org/10.1166/jon.2019.1663.

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13

Zimparov, V. D., A. K. da Silva, and A. Bejan. "Thermodynamic optimization of tree-shaped flow geometries." International Journal of Heat and Mass Transfer 49, no. 9-10 (May 2006): 1619–30. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2005.11.016.

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14

Bray, Harrison. "Geodesic flow of nonstrictly convex Hilbert geometries." Annales de l'Institut Fourier 70, no. 4 (April 15, 2021): 1563–93. http://dx.doi.org/10.5802/aif.3358.

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15

GRIFFITH, M. D., T. LEWEKE, M. C. THOMPSON, and K. HOURIGAN. "Steady inlet flow in stenotic geometries: convective and absolute instabilities." Journal of Fluid Mechanics 616 (December 10, 2008): 111–33. http://dx.doi.org/10.1017/s0022112008004084.

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Steady inlet flow through a circular tube with an axisymmetric blockage of varying size is studied both numerically and experimentally. The geometry consists of a long, straight tube and a blockage, semicircular in cross-section, serving as a simplified model of an arterial stenosis. The stenosis is characterized by a single parameter, the aim being to highlight fundamental behaviours of constricted flows, in terms of the total blockage. The Reynolds number is varied between 50 and 2500 and the stenosis degree by area between 0.20 and 0.95. Numerically, a spectral-element code is used to obtain the axisymmetric base flow fields, while experimentally, results are obtained for a similar set of geometries, using water as the working fluid. At low Reynolds numbers, the flow is steady and characterized by a jet flow emanating from the contraction, surrounded by an axisymmetric recirculation zone. The effect of a variation in blockage size on the onset and mode of instability is investigated. Linear stability analysis is performed on the simulated axisymmetric base flows, in addition to an analysis of the instability, seemingly convective in nature, observed in the experimental flows. This transition at higher Reynolds numbers to a time-dependent state, characterized by unsteadiness downstream of the blockage, is studied in conjunction with an investigation of the response of steady lower Reynolds number flows to periodic forcing.

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16

SOCHI, TAHA. "NEWTONIAN FLOW IN CONVERGING-DIVERGING CAPILLARIES." International Journal of Modeling, Simulation, and Scientific Computing 04, no. 03 (August 19, 2013): 1350011. http://dx.doi.org/10.1142/s1793962313500116.

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The one-dimensional Navier–Stokes equations are used to derive analytical expressions for the relation between pressure and volumetric flow rate in capillaries of five different converging-diverging axisymmetric geometries for Newtonian fluids. The results are compared to previously derived expressions for the same geometries using the lubrication approximation. The results of the one-dimensional Navier–Stokes are identical to those obtained from the lubrication approximation within a nondimensional numerical factor. The derived flow expressions have also been validated by comparison to numerical solutions obtained from discretization with numerical integration. Moreover, they have been certified by testing the convergence of solutions as the converging-diverging geometries approach the limiting straight geometry.

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17

LOH, TECK SENG, and SUTTHIPHONG SRIGRAROM. "INVESTIGATIVE STUDY OF HEAT TRANSFER AND BLADES COOLING IN THE GAS TURBINE." Modern Physics Letters B 19, no. 28n29 (December 20, 2005): 1611–14. http://dx.doi.org/10.1142/s0217984905010037.

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Flow visualization experiments had been conducted using a water tunnel to investigate and study the effect of different hole geometries on lift-off and spreading characteristics on a jet in a cross flow stream. The relationships between the hydraulic diameters of the hole geometries and their lift-off and spreading characteristics were also investigated. Eight different hole geometries with the same cross-sectional area were used in the experiments. They are round, square, triangle, rectangular, "rect-circle", "peanut", "V-shaped" and "W-shaped". Dye release injection technique was used to visualize the characteristics of the jet trajectories from different hole geometries. From the results, the different geometries of cooling holes were found to have an effect on the trajectory of the jet. Hole geometries with "tongues" in them such as "W-shaped" and "V-shaped" holes produced jets with better flow adherence but poorer spreading. Hole geometries with lower hydraulic diameters also produced jets with better flow adherence but poorer spreading.

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18

Ivers, D. J. "Kinematic dynamos in spheroidal geometries." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2206 (October 2017): 20170432. http://dx.doi.org/10.1098/rspa.2017.0432.

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The kinematic dynamo problem is solved numerically for a spheroidal conducting fluid of possibly large aspect ratio with an insulating exterior. The solution method uses solenoidal representations of the magnetic field and the velocity by spheroidal toroidal and poloidal fields in a non-orthogonal coordinate system. Scaling of coordinates and fields to a spherical geometry leads to a modified form of the kinematic dynamo problem with a geometric anisotropic diffusion and an anisotropic current-free condition in the exterior, which is solved explicitly. The scaling allows the use of well-developed spherical harmonic techniques in angle. Dynamo solutions are found for three axisymmetric flows in oblate spheroids with semi-axis ratios 1≤ a / c ≤25. For larger aspect ratios strong magnetic fields may occur in any region of the spheroid, depending on the flow, but the external fields for all three flows are weak and concentrated near the axis or periphery of the spheroid.

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19

Wilkinson, Stuart. "Static Pressure Distributions Over 2D Mast/Sail Geometries." Marine Technology and SNAME News 26, no. 04 (October 1, 1989): 333–37. http://dx.doi.org/10.5957/mt1.1989.26.4.333.

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A variable-camber aerofoil with integral pressure tappings has been built to investigate the nature of the flows around two-dimensional, highly cambered, sail-like aerofoil sections with circular masts. Data have been obtained in the form of static pressure distributions over representative ranges of Reynolds number, camber ratio, incidence angle, mast diameter/chord ratio and mast angle. Two sail shapes—based on the NACA a = 0.8 and NACA 63 mean-line camber distributions—were involved in the test program. All flow regimes present have been identified and related to the salient model and flow parameters.

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20

Felder, S., and H. Chanson. "Air–water flow measurements in a flat slope pooled stepped waterway." Canadian Journal of Civil Engineering 40, no. 4 (April 2013): 361–72. http://dx.doi.org/10.1139/cjce-2012-0464.

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Air–water flows on stepped spillways were investigated experimentally in the last decades with a focus on steep slope chutes equipped with flat horizontal steps. Detailed air–water flow properties were recorded herein with three stepped geometries down a slope of θ = 8.9° with: flat horizontal steps, pooled steps, and a combination of flat and pooled steps. The data included the distributions of basic air–water flow properties, as well as the energy dissipation and flow resistance data deduced from the air–water flow measurements. The results on the flat slope showed that the pooled stepped design enabled a greater rate of energy dissipation, but the pooled stepped geometries were affected by some flow instabilities and unsteady flow processes for a range of flow rates.

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21

Reimers, Jan N. "Predicting current flow in spiral wound cell geometries." Journal of Power Sources 158, no. 1 (July 2006): 663–72. http://dx.doi.org/10.1016/j.jpowsour.2005.08.042.

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22

Weatherill, N. P., and C. R. Forsey. "Grid generation and flow calculations for aircraft geometries." Journal of Aircraft 22, no. 10 (October 1985): 855–60. http://dx.doi.org/10.2514/3.45215.

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23

Arutyunov, G., S. Frolov, and S. Theisen. "Gravity-scalar fluctuations in holographic RG flow geometries." Physics Letters B 484, no. 3-4 (July 2000): 295–305. http://dx.doi.org/10.1016/s0370-2693(00)00665-1.

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24

Corina, Anisa Noor, Ragnhild Skorpa, Sigbjørn Sangesland, and Torbjørn Vrålstad. "Simulation of fluid flow through real microannuli geometries." Journal of Petroleum Science and Engineering 196 (January 2021): 107669. http://dx.doi.org/10.1016/j.petrol.2020.107669.

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25

Kiger, K. T., and F. Gavelli. "Boron mixing in complex geometries: flow structure details." Nuclear Engineering and Design 208, no. 1 (August 2001): 67–85. http://dx.doi.org/10.1016/s0029-5493(01)00349-1.

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26

MacInnes, J. M. "Computation of reacting electrokinetic flow in microchannel geometries." Chemical Engineering Science 57, no. 21 (November 2002): 4539–58. http://dx.doi.org/10.1016/s0009-2509(02)00311-1.

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27

Urbina, C. A. Faúndez, J. C. Dam, R. F. A. Hendriks, F. Berg, H. P. A. Gooren, and C. J. Ritsema. "Water Flow in Soils with Heterogeneous Macropore Geometries." Vadose Zone Journal 18, no. 1 (January 2019): 1–17. http://dx.doi.org/10.2136/vzj2019.02.0015.

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28

Verweyst, Brent E., and Charles L. Tucker. "Fiber Suspensions in Complex Geometries: Flow/Orientation Coupling." Canadian Journal of Chemical Engineering 80, no. 6 (December 2002): 1093–106. http://dx.doi.org/10.1002/cjce.5450800611.

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29

Rayner, D. "Multigrid flow solutions in complex two-dimensional geometries." International Journal for Numerical Methods in Fluids 13, no. 4 (August 1991): 507–18. http://dx.doi.org/10.1002/fld.1650130408.

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30

Sahin, Huseyin, Xaiojie Wang, and Faramarz Gordaninejad. "Magneto-rheological fluid flow through complex valve geometries." International Journal of Vehicle Design 63, no. 2/3 (2013): 241. http://dx.doi.org/10.1504/ijvd.2013.056154.

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31

Lipscomb, G. G., M. M. Denn, D. U. Hur, and D. V. Boger. "The flow of fiber suspensions in complex geometries." Journal of Non-Newtonian Fluid Mechanics 26, no. 3 (January 1988): 297–325. http://dx.doi.org/10.1016/0377-0257(88)80023-5.

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32

van de Griend, Renée, and Morton M. Denn. "Co-current axisymmetric flow in complex geometries: Experiments." Journal of Non-Newtonian Fluid Mechanics 32, no. 3 (January 1989): 229–52. http://dx.doi.org/10.1016/0377-0257(89)85009-8.

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33

Szabo, Peter, and Ole Hassager. "Flow of viscoplastic fluids in eccentric annular geometries." Journal of Non-Newtonian Fluid Mechanics 45, no. 2 (November 1992): 149–69. http://dx.doi.org/10.1016/0377-0257(92)85001-d.

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34

Svenningsen, Kaj H., Jens I. Madsen, Niels H. Hassing, and Wolfgang H. G. Päuker. "Optimization of flow geometries applying quasianalytical sensitivity analysis." Applied Mathematical Modelling 20, no. 3 (March 1996): 214–24. http://dx.doi.org/10.1016/0307-904x(95)00148-d.

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35

Dimitropoulos, Costas D., Brian J. Edwards, Kyung-Sun Chae, and Antony N. Beris. "Efficient Pseudospectral Flow Simulations in Moderately Complex Geometries." Journal of Computational Physics 144, no. 2 (August 1998): 517–49. http://dx.doi.org/10.1006/jcph.1998.6009.

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36

Barry, S. I., and G. K. Aldis. "Radial flow through deformable porous shells." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 34, no. 3 (January 1993): 333–54. http://dx.doi.org/10.1017/s0334270000008936.

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AbstractThe problem of radially directed fluid flow through a deformable porous shell is considered. General nonlinear diffusion equations are developed for spherical, cylindrical and planar geometries. Solutions for steady flow are found in terms of an exact integral and perturbation solutions are also developed. For unsteady flow, perturbation methods are used to find approximate small-time solutions and a solution valid for slow compression rates. These solutions are used to investigate the deformation of the porous material with comparisons made between the planar and the cylindrical geometries.

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37

Morse, A. P. "Assessment of Laminar-Turbulent Transition in Closed Disk Geometries." Journal of Turbomachinery 113, no. 1 (January 1, 1991): 131–38. http://dx.doi.org/10.1115/1.2927731.

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Finite-difference solutions are presented for rotationally induced flows in the closed space between two coaxial disks and an outer cylindrical shroud, in which there is no superimposed flow. The solutions are obtained with an elliptic-flow calculation procedure and an anisotropic low turbulence Reynolds number k-ε model for the estimation of turbulent fluxes. The transition from laminar to turbulent flow is effected by including in the energy production term a small fraction (0.002) of the “turbulent viscosity” as calculated from a simple mixing length model. This level for the artificial energy input was chosen as that appropriate for transition at a local rotational Reynolds number of 3 × 105 for the flow over a free, rotating disk. The main focus of the paper is the rotor-stator system, for which the influence of rotational Reynolds number (over the range 105–107) is investigated. Predicted velocity profiles and disk moment coefficients show reasonably good agreement with available experimental data. The computational procedure is then extended to cover the cases of corotating and counterrotating systems, with variable relative disk speed.

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38

LLOYD, PETER M., PETER K. STANSBY, and DAOYI CHEN. "Wake formation around islands in oscillatory laminar shallow-water flows. Part 1. Experimental investigation." Journal of Fluid Mechanics 429 (February 25, 2001): 217–38. http://dx.doi.org/10.1017/s0022112000002822.

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An experimental investigation of oscillatory shallow-water flow around islands has been undertaken to determine the dependence of wake formation on Keulegan–Carpenter number, KC = UoT/D, and stability parameter, S = cfD/h, where Uo is amplitude of velocity oscillation, T is oscillation period, D is a representative island diameter, cf is friction coefficient and h is water depth. Two geometries are investigated: a vertical cylinder and a conical island with a small side slope of 8°. Existing experimental results for current flow around the same geometries have shown the influence of the stability parameter. Predominantly laminar flows are investigated and the flows are subcritical.Four modes of wake formation have been identified for both geometries: one with symmetric attached counter-rotating vortices only forming in each half-cycle, one with vortex pairs forming symmetrically in addition in each half-cycle, one with vortex pairs forming with some asymmetry and one with complex vortex shedding. The last results from one of the attached vortices crossing to the opposite side of the body during flow reversal; in the other cases the attached vortices are convected back on the same sides. For convenience these formations are called: symmetric without pairing, symmetric with pairing, sinuous with pairing and vortex shedding. They are shown on KC/S planes for both geometries. Numerical modelling of the flows for the conical island, based on the three-dimensional shallow-water equations with the hydrostatic pressure assumption, is undertaken in Part 2 (Stansby & Lloyd 2001).

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39

Araya, Guillermo. "Turbulence Model Assessment in Compressible Flows around Complex Geometries with Unstructured Grids." Fluids 4, no. 2 (April 28, 2019): 81. http://dx.doi.org/10.3390/fluids4020081.

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One of the key factors in simulating realistic wall-bounded flows at high Reynolds numbers is the selection of an appropriate turbulence model for the steady Reynolds Averaged Navier–Stokes equations (RANS) equations. In this investigation, the performance of several turbulence models was explored for the simulation of steady, compressible, turbulent flow on complex geometries (concave and convex surface curvatures) and unstructured grids. The turbulence models considered were the Spalart–Allmaras model, the Wilcox k- ω model and the Menter shear stress transport (SST) model. The FLITE3D flow solver was employed, which utilizes a stabilized finite volume method with discontinuity capturing. A numerical benchmarking of the different models was performed for classical Computational Fluid Dynamic (CFD) cases, such as supersonic flow over an isothermal flat plate, transonic flow over the RAE2822 airfoil, the ONERA M6 wing and a generic F15 aircraft configuration. Validation was performed by means of available experimental data from the literature as well as high spatial/temporal resolution Direct Numerical Simulation (DNS). For attached or mildly separated flows, the performance of all turbulence models was consistent. However, the contrary was observed in separated flows with recirculation zones. Particularly, the Menter SST model showed the best compromise between accurately describing the physics of the flow and numerical stability.

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40

Hirsa, Amir H., and Juan M. Lopez. "Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions." Fluids 6, no. 6 (May 25, 2021): 198. http://dx.doi.org/10.3390/fluids6060198.

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The air–water interface in flowing systems remains a challenge to model, even in cases where the interface is essentially flat. This is because even though each side is governed by the Navier–Stokes equations, the stress balance which provides the boundary conditions for the equations involves properties associated with surfactants that are inevitably present at the air–water interface. Aside from challenges in measuring interfacial properties, either intrinsic or flow-dependent, the two-way coupling of bulk and interfacial flows is non-trivial, even for very simple flow geometries. Here, we present an overview of the physics associated with surfactant monolayers of flowing liquid and describe how the monolayer affects the bulk flow and how the monolayer is transported and deformed by the bulk flow. The emphasis is primarily on cylindrical flow geometries, and both Newtonian and non-Newtonian interfacial responses are considered. We consider interfacial flows that are solenoidal as well as those where the surface velocity is not divergence free.

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41

Grünbaum, D., D. Eyre, and A. Fogelson. "Functional geometry of ciliated tentacular arrays in active suspension feeders." Journal of Experimental Biology 201, no. 18 (September 15, 1998): 2575–89. http://dx.doi.org/10.1242/jeb.201.18.2575.

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Parallel tentacular structures with lateral cilia that produce suspension-feeding and respiratory flows occur repeatedly in many diverse taxonomic groups. We use a computational hydrodynamic model of flow through ciliated tentacles to simulate flow rates through ciliated tentacle arrays. We examine the functional relationship of one performance measure, flow rate per unit length of array, to geometrical variables, such as cilia length, cilia tip speed and the gap between adjacent tentacles, and to hydrodynamic operating conditions, such as adverse pressure drops across the array. We present a scaling and interpolation scheme to estimate flow rates for a wide range of geometries that span many taxa. Our estimates of flow rate can be coupled with the hydrodynamic characteristics of biological piping systems to understand design trade-offs between components of these systems. As a case study, we apply the model to the blue mussel Mytilus edulis by investigating the effect on performance of changes in the gap between neighboring tentacles. Our model suggests that the observed gaps between tentacles in M. edulis reflect flow-maximizing geometries. Even relatively weak adverse pressure drops have strong effects on flow-maximizing geometries and flow rates. One consequence is that an intermediate range of pressure drops may be unfavorable, suggesting that animals may specialize into high-pressure and low-pressure piping systems associated with differences in organism size and with their strategy for eliminating depleted water.

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42

Oliveira, M. S. N., F. T. Pinho, and M. A. Alves. "Divergent streamlines and free vortices in Newtonian fluid flows in microfluidic flow-focusing devices." Journal of Fluid Mechanics 711 (September 28, 2012): 171–91. http://dx.doi.org/10.1017/jfm.2012.386.

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AbstractThe appearance of divergent streamlines and subsequent formation of free vortices in Newtonian fluid flows through microfluidic flow-focusing geometries is discussed in this work. The micro-geometries are shaped like a cross-slot but comprise three entrances and one exit. The divergent flow and subsequent symmetric vortical structures arising near the centreline of the main inlet channel are promoted even under creeping flow conditions, and are observed experimentally and predicted numerically above a critical value of the ratio of inlet velocities (VR). As VR is further increased these free vortices continue to grow until a maximum size is reached due to geometrical constraints. The numerical calculations are in good agreement with the experimental observations and we probe numerically the effects of the geometric parameters and of inertia on the flow patterns. In particular, we observe that the appearance of the central recirculations depends non-monotonically on the relative width of the entrance branches and we show that inertia enhances the appearance of the free vortices. On the contrary, the presence of the walls in three-dimensional geometries has a stabilizing effect for low Reynolds numbers, delaying the onset of these secondary flows to higher VR. The linearity of the governing equations for creeping flow of Newtonian fluids was invoked to determine the flow field for any VR as a linear combination of the results of three other independent solutions in the same geometry.

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43

Peace, A. J. "Turbulent flow predictions for afterbody/nozzle geometries includingbase effects." Journal of Propulsion and Power 7, no. 3 (May 1991): 396–403. http://dx.doi.org/10.2514/3.23340.

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44

SATISH, G., and YUVARAJ M. AKHIL. "FLOW BEHAVIOUR ON ELBOW WITH VARIOUS GEOMETRIES OF NOZZLE." i-manager's Journal on Mechanical Engineering 9, no. 2 (2019): 43. http://dx.doi.org/10.26634/jme.9.2.15851.

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45

Vatsa, Veer N., and Dana P. Hammond. "Viscous flow computations for complex geometries on parallel computers." Advances in Engineering Software 29, no. 3-6 (April 1998): 337–43. http://dx.doi.org/10.1016/s0965-9978(97)00076-8.

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46

David, Justin R., Gautam Mandal, Sachindeo Vaidya, and Spenta R. Wadia. "Point mass geometries, spectral flow and AdS3–CFT2 correspondence." Nuclear Physics B 564, no. 1-2 (January 2000): 128–41. http://dx.doi.org/10.1016/s0550-3213(99)00621-5.

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47

Volent, Eirik, Ole Gunnar Dahlhaug, and Erik Tengs. "Study of flow structure in erosion prone complex geometries." IOP Conference Series: Earth and Environmental Science 240 (March 27, 2019): 092005. http://dx.doi.org/10.1088/1755-1315/240/9/092005.

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48

Khuri, S. A. "Biorthogonality condition for axisymmetric stokes flow in spherical geometries." International Journal of Mathematics and Mathematical Sciences 23, no. 10 (2000): 711–15. http://dx.doi.org/10.1155/s0161171200002891.

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We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the coefficients of the eigenfunction expansion solution of the corresponding creeping flow problem.

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Agrawal, S., V. N. Vatsa, and T. A. Kinard. "Transonic Navier-Stokes Flow Computations over Wing-Fuselage Geometries." Journal of Aircraft 30, no. 5 (September 1993): 791–93. http://dx.doi.org/10.2514/3.56896.

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Smith, Richard J., and Leslie J. Johnston. "Automatic grid generation and flow solution for complex geometries." AIAA Journal 34, no. 6 (June 1996): 1120–24. http://dx.doi.org/10.2514/3.13201.

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Journal articles on the topic 'Flow geometries'

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