Academic literature on the topic 'Coriolis number'

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Journal articles on the topic "Coriolis number"

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Cho, H. C., and F. C. Chou. "Rivulet Instability with Effect of Coriolis Force." Journal of Mechanics 22, no. 3 (2006): 221–27. http://dx.doi.org/10.1017/s1727719100000861.

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AbstractThe effect of Coriolis force on the rivulet (fingering) instability, the onset of rivulet phenomena during spin coating, is investigated by flow visualization experiments incorporating with dimensional analysis. This study demonstrates that the Coriolis force will affect significantly the critical radius of rivulet instability and the deflection angle of instability rivulet. For the cases of low Bond number, the effect of Coriolis force is a stabilizing factor, and the dimensionless critical radius increases slightly with increasing rotational Reynolds number Reω. In the case of high B
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Ivers, D. J., A. Jackson, and D. Winch. "Enumeration, orthogonality and completeness of the incompressible Coriolis modes in a sphere." Journal of Fluid Mechanics 766 (February 4, 2015): 468–98. http://dx.doi.org/10.1017/jfm.2015.27.

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AbstractWe consider incompressible flows in the rapid-rotation limit of small Rossby number and vanishing Ekman number, in a bounded volume with a rigid impenetrable rotating boundary. Physically the flows are inviscid, almost rigid rotations. We interpret the Coriolis force, modified by a pressure gradient, as a linear operator acting on smooth inviscid incompressible flows in the volume. The eigenfunctions of the Coriolis operator $\boldsymbol{{\mathcal{C}}}$ so defined are the inertial modes (including any Rossby modes) and geostrophic modes of the rotating volume. We show $\boldsymbol{{\ma
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Nakabayashi, Koichi, and Osami Kitoh. "Low Reynolds number fully developed two-dimensional turbulent channel flow with system rotation." Journal of Fluid Mechanics 315 (May 25, 1996): 1–29. http://dx.doi.org/10.1017/s0022112096002303.

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Theoretical and experimental studies have been performed on fully developed twodimensional turbulent channel flows in the low Reynolds number range that are subjected to system rotation. The turbulence is affected by the Coriolis force and the low Reynolds number simultaneously. Using dimensional analysis, the relevant parameters of this flow are found to be Reynolds number Re* = u*D/v (u* is the friction velocity, D the channel half-width) and Ωv/u2* (Ω is the angular velocity of the channel) for the inner region, and Re* and ΩD/u* for the core region. Employing these parameters, changes of s
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Chan, Kwing L. "‘Negative’ surface differential rotation in stars having low Coriolis numbers (slow rotation or high turbulence)." Proceedings of the International Astronomical Union 5, S264 (2009): 219–21. http://dx.doi.org/10.1017/s1743921309992663.

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AbstractA general picture of differential rotation in cool stars is that they are ‘solar-like’, with the equator spinning faster than the poles. Such surface differential rotation profiles have also been demonstrated by some three-dimensional simulations. In our numerical investigation of rotating convection (both regional and global), we found that this picture is not universally applicable. The equator may spin substantially slower than the poles (Ωequator − Ωpole)/Ω can reach −50%). The key parameter that determines the transition in behavior is the Coriolis number (inverse Rossby number).
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Khiri, Rachid. "Coriolis effect on convection for a low Prandtl number fluid." International Journal of Non-Linear Mechanics 39, no. 4 (2004): 593–604. http://dx.doi.org/10.1016/s0020-7462(02)00225-1.

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Courtier, Audrey, Benoit Roig, Stephane Cariou, Axelle Cadiere, and Sandrine Bayle. "Evaluation of Coriolis Micro Air Sampling to Detect Volatile and Semi-Volatile Organic Compounds." Molecules 27, no. 19 (2022): 6462. http://dx.doi.org/10.3390/molecules27196462.

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There are several analytical procedures available for the monitoring of volatile organic compounds (VOCs) in the air, which differ mainly on sampling procedures. The Coriolis micro air sampler is a tool normally designed for biological air sampling. In this paper, the Coriolis micro bio collector is used to evaluate its ability to sample organic contaminants sampling and detecting them when combined GC-MS. We also compare the use of the Coriolis micro with a standardized sampling method, which is the use of a lung box with a Nalophan® bag. The results show that the Coriolis micro sampling meth
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Eley, R., C. H. J. Fox, and S. McWilliam. "The dynamics of a vibrating-ring multi-axis rate gyroscope." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 214, no. 12 (2000): 1503–13. http://dx.doi.org/10.1243/0954406001523443.

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A novel, multi-axis rate sensor based on the vibration properties of a ring structure is presented. Vibrating ring structures have been used successfully to detect rates applied about the axis perpendicular to the plane of the ring using Coriolis coupling between in-plane displacements. The presented multi-axis sensor is capable of detecting rate applied about three mutually perpendicular axes using Coriolis coupling between in-plane and out-of-plane displacements. The steady state amplitude of the induced displacements are proportional to the applied rate. Coriolis coupling is only present fo
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Oke, Abayomi S., Winifred N. Mutuku, Mark Kimathi, and Isaac L. Animasaun. "Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force." Nonlinear Engineering 9, no. 1 (2020): 398–411. http://dx.doi.org/10.1515/nleng-2020-0025.

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AbstractCasson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity like that of blood. Despite huge number of published articles on the transport phenomenon, there is no report on the increasing effects of the Coriolis force. This report presents the significance of increasing not only the Coriolis force and reducing plastic dynamic viscosity, but also the Prandtl number and buoyancy forces on the motion of non-Newtonian Casson fluid over the rotating non-uniform surface. The relevant body forces are derived
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Chan, Kwing L. "A finite-difference convective model for Jupiter's equatorial jet." Proceedings of the International Astronomical Union 2, S239 (2006): 230–32. http://dx.doi.org/10.1017/s174392130700049x.

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AbstractWe present results of a numerical model for studying the dynamics of Jupiter's equatorial jet. The computed domain is a piece of spherical shell around the equator. The bulk of the region is convective, with a thin radiative layer at the top. The shell is spinning fast, with a Coriolis number = ΩL/V on the order of 50. A prominent super-rotating equatorial jet is generated, and secondary alternating jets appear in the higher latitudes. The roles of terms in the zonal momentum equation are analyzed. Since both the Reynolds number and the Taylor number are large, the viscous terms are sm
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Salinas, Jorge S., Thomas Bonometti, Marius Ungarish, and Mariano I. Cantero. "Rotating planar gravity currents at moderate Rossby numbers: fully resolved simulations and shallow-water modelling." Journal of Fluid Mechanics 867 (March 20, 2019): 114–45. http://dx.doi.org/10.1017/jfm.2019.152.

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The flow of a gravity current of finite volume and density $\unicode[STIX]{x1D70C}_{1}$ released from rest from a rectangular lock (of height $h_{0}$) into an ambient fluid of density $\unicode[STIX]{x1D70C}_{0}$ (${<}\unicode[STIX]{x1D70C}_{1}$) in a system rotating with $\unicode[STIX]{x1D6FA}$ about the vertical $z$ is investigated by means of fully resolved direct numerical simulations (DNS) and a theoretical model (based on shallow-water and Ekman layer spin-up theories, including mixing). The motion of the dense fluid includes several stages: propagation in the $x$-direction accompani
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Dissertations / Theses on the topic "Coriolis number"

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Lewis, Tanat. "Numerical simulation of buoyancy-induced flow in a sealed rotating cavity." Thesis, University of Bath, 1999. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.285311.

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Bourouiba, Lydia. "Numerical and theoretical study of homogeneous rotating turbulence." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=115861.

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The Coriolis force has a subtle, but significant impact on the dynamics of geophysical and astrophysical flows. The Rossby number, Ro, is the nondimensional parameter measuring the relative strength of the Coriolis term to the nonlinear advection terms in the equations of motion. When the rotation is strong, Ro goes to zero and three-dimensional flows are observed to two-dimensionalize. The broad aim of this work is to examine the effect of the strength of rotation on the nonlinear dynamics of turbulent homogeneous flows. Our approach is to decompose the rotating turbulent flow modes into two
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Šuráň, David. "Vliv nastavitelných vestaveb v savce turbiny na charakteristiku a tlakové pulzace." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-444634.

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This master’s thesis deals with the draft tube and its optimization for various operating conditions. The research investigates the theoretical description and function of the draft tube and explains known methods of suppressing pressure pulsation so far. In the computational part, the author proposes a new method and designs optimal geometry of adjustable installations (ribs) for the draft tube. Finally, the comparison with the default geometry without ribs is performed.
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Haugen, Christina G. M. "Numerical Investigation of Thermal Performance for Rotating High Aspect Ratio Serpentine Passages." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1412698677.

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Do, Minh Hieu. "Analyse mathématique de schémas volume finis pour la simulation des écoulements quasi-géostrophiques à bas nombre de Froude". Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCD087/document.

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The shallow water system plays an important role in the numerical simulation of oceanic models, coastal flows and dam-break floods. Several kinds of source terms can be taken into account in this model, such as the influence of bottom topography, Manning friction effects and Coriolis force. For large scale oceanic phenomena, the Coriolis force due to the Earth’s rotation plays a central role since the atmospheric or oceanic circulations are frequently observed around the so-called geostrophic equilibrium which corresponds to the balance between the pressure gradient and the Coriolis source term. T
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Sleiti, Ahmad Khalaf. "EFFECT OF CORIOLIS AND CENTRIFUGAL FORCES ON TURBULENCE AND TRANSPORT AT HIGH ROTATION AND BUOYANCY NUMBERS." Doctoral diss., University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4408.

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This study attempts to understand one of the most fundamental and challenging problems in fluid flow and heat transfer for rotating machines. The study focuses on gas turbines and electric generators for high temperature and high energy density applications, respectively, both which employ rotating cooling channels so that materials do not fail under high temperature and high stress environment. Prediction of fluid flow and heat transfer inside internal cooling channels that rotate at high rotation number and high density ratio similar to those that are existing in turbine blades and generator
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Books on the topic "Coriolis number"

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C, So Ronald M., and United States. National Aeronautics and Space Administration., eds. A near-wall Reynolds-stress closure without wall normals: Final report ... under grant number NAG-1-1772. College of Engineering and Applied Sciences, Arizona State University, 1997.

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C, So Ronald M., and United States. National Aeronautics and Space Administration., eds. A near-wall Reynolds-stress closure without wall normals: Final report ... under grant number NAG-1-1772. College of Engineering and Applied Sciences, Arizona State University, 1997.

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C, So Ronald M., and United States. National Aeronautics and Space Administration., eds. A near-wall Reynolds-stress closure without wall normals: Final report ... under grant number NAG-1-1772. College of Engineering and Applied Sciences, Arizona State University, 1997.

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C, So Ronald M., and United States. National Aeronautics and Space Administration., eds. A near-wall Reynolds-stress closure without wall normals: Final report ... under grant number NAG-1-1772. College of Engineering and Applied Sciences, Arizona State University, 1997.

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Yuan, S. P. A near-wall Reynolds-stress closure without wall normals. National Aeronautics and Space Administration, 1997.

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C, So Ronald M., and United States. National Aeronautics and Space Administration., eds. A near-wall Reynolds-stress closure without wall normals: Under grant NAG1-1772. National Aeronautics and Space Administration, 1997.

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C, So Ronald M., and United States. National Aeronautics and Space Administration., eds. A near-wall Reynolds-stress closure without wall normals: Under grant NAG1-1772. National Aeronautics and Space Administration, 1997.

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A near-wall Reynolds-stress closure without wall normals: Under grant NAG1-1772. National Aeronautics and Space Administration, 1997.

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A near-wall Reynolds-stress closure without wall normals: Under grant NAG1-1772. National Aeronautics and Space Administration, 1997.

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Book chapters on the topic "Coriolis number"

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Lauga, Eric. "4. Dimensions." In Fluid Mechanics: A Very Short Introduction. Oxford University Press, 2022. http://dx.doi.org/10.1093/actrade/9780198831006.003.0004.

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‘Dimensions’ begins by evaluating the role that physical dimensions and dimensional analysis play in physics and it then explains the differences between dimensions and units and introduces the concept of dimensional homogeneity. Dimensional homogeneity has had a huge impact on physical sciences, including the pioneering scientists who proposed it. The chapter then explains how to reduce a given physics problem to a simpler one involving numbers with no dimensions, termed dimensionless numbers. Dimensionless numbers have a role in our understanding of fluid mechanics. The Reynolds number (quan
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Manjula, S. H., and Palle Kiran. "Thermo-Rheological Effect on Weak Nonlinear Rayleigh-Benard Convection under Rotation Speed Modulation." In Boundary Layer Flows - Modelling, Computation, and Applications of Laminar, Turbulent Incompressible and Compressible Flows [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.105097.

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The effects of rotation speed modulation and temperature-dependent viscosity on Rayleigh-Benard convection were investigated using a non-autonomous Ginzburg-Landau equation. The rotating temperature-dependent viscous fluid layer has been considered. The momentum equation with the Coriolis term has been used to describe finite-amplitude convective flow. The system is considered to be rotating about its vertical axis with a non-uniform rotation speed. In particular, we assume that the rotation speed is varying sinusoidally with time. Nusselt number is obtained in terms of the system parameters a
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Chemin, Jean-Yves, Benoit Desjardins, Isabelle Gallagher, and Emmanuel Grenier. "Stability of Horizontal Boundary Layers." In Mathematical Geophysics. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198571339.003.0016.

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Let us now detail the stability properties of an Ekman layer introduced in Part I, page 11. First we will recall how to compute the critical Reynolds number. Then we will describe briefly what happens at larger Reynolds numbers. The first step in the study of the stability of the Ekman layer is to consider the linear stability of a pure Ekman spiral of the form where U∞ is the velocity away from the layer and ζ is the rescaled vertical component ζ = x3/√εν. The corresponding Reynolds number is Let us consider the Navier–Stokes–Coriolis equations, linearized around uE The problem is now to stud
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Chemin, Jean-Yves, Benoit Desjardins, Isabelle Gallagher, and Emmanuel Grenier. "Other Systems." In Mathematical Geophysics. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198571339.003.0017.

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The methods developed in this book can be applied to various physical systems. We will not detail all the possible applications and will only quote three systems arising in magnetohydrodynamics (MHD) and meteorology, namely conducting fluids in a strong external “large scale” magnetic field, a classical MHD system with high rotation, and the quasigeostrophic limit. The main theorems of this book can be extended to these situations. The theory of rotating fluids is very close to the theory of conducting fluids in a strong magnetic field. Namely the Lorenz force and the Coriolis force have almos
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Davidson, P. A. "Moving into a Rotating Frame of Reference, the Taylor–Proudman Theorem, and the Formation of Taylor Columns." In The Dynamics of Rotating Fluids. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/9780191994272.003.0006.

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Abstract In this chapter, we discuss some of the simplest, but fundamental, consequences of imposing a strong background rotation on a fluid. The topics covered include the Coriolis force, the Rossby and Ekman numbers, geostrophic force balances, the Taylor–Proudman theorem, Taylor columns, and the hidden role of waves in forming Taylor columns. The emphasis throughout is on developing simple (but important) physical ideas with the minimum of mathematical detail. Many of these concepts are surprisingly subtle, especially the notion of quasi-geostrophic flow and of the importance of inertial wa
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Conference papers on the topic "Coriolis number"

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You, Haoliang, Haiwang Li, Ruquan You, Zhi Tao, and Jincheng Shi. "Experimental Investigations of Turbulent Flow in a Rotating Ribbed Channel in Terms of the Effect of Coriolis Force." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90757.

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Abstract In the current work, the effect of Coriolis force is considered in a rotating rectangular rib-roughened channel. Time-resolved PIV (Particle Image Velocimetry) was used to measure the flow field. The Reynolds number is fixed at 10000, and the rotation numbers range from 0 to 0.52. The ribs obstruct the channel by 10%. The mean velocity fields and Reynolds shear stress fields are obtained. Due to the effect of Coriolis force, the flow fields are different between leading and trailing side. Furthermore, the vortex and the reattachment are also investigated. Based on the results, it can
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Elyyan, Mohammad A., and Danesh K. Tafti. "Effect of Coriolis Forces in a Rotating Channel With Dimples and Protrusions." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66677.

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The use of dimple-protrusions for internal cooling of rotating turbine blades has been investigated. A channel with dimple imprint diameter to channel height ratio (H/D = 1.0), dimple depth to channel height ratio (δ/H = 0.2), spanwise and streamwise pitch to channel height ratios (P/H = S/H = 1.62) was modeled. Four rotation numbers; Rob = 0.0, 0.15, 0.39, and 0.64, at nominal flow Reynolds number, ReH = 10000, were investigated to quantify the effect of Coriolis forces on the flow structure and heat transfer in the channel. Under the influence of rotation, the leading (protrusion) side of th
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Kikuyama, Koji, Yutaka Hasegawa, Takashi Yokoi, and Masashi Hirota. "Effects of Coriolis Force on Instability of Laminar Boundary Layer on a Concave Surface." In ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/94-gt-287.

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Stability of laminar boundary layer having a mean velocity of Pohlhausen type was studied by solving numerically the perturbation equations when the boundary layer is subject to curvature and Coriolis force. When the channel rotates so that the Coriolis force acts toward the concave wall, the Taylor-Görtler vortices are generated on a concave surface with a weaker curvature than that in the stationary condition because of the instability effects of the Coriolis force. Vortices are suppressed and the critical Görtler number is increased when the Coriolis force acts opposite to the centrifugal f
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Abdel-Wahab, Samer, and Danesh K. Tafti. "Large Eddy Simulation of Flow and Heat Transfer in a 90° Ribbed Duct With Rotation: Effect of Coriolis and Centrifugal Buoyancy Forces." In ASME Turbo Expo 2004: Power for Land, Sea, and Air. ASMEDC, 2004. http://dx.doi.org/10.1115/gt2004-53799.

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Results from large eddy simulations (LES) of fully developed flow in a 90° ribbed duct are presented with rib pitch-to-height ratio P/e = 10 and a rib height-to-hydraulic-diameter ratio e/Dh = 0.1. Three rotation numbers Ro = 0.18, 0.36 and 0.68 are studied at a nominal Reynolds number based on bulk velocity of 20,000. Centrifugal buoyancy effects are included at two Richardson numbers of Ri = 12, 28 (Buoyancy number, Bo = 0.12 and 0.30) for each rotation case. Buoyancy strengthens the secondary flow cells in the duct cross-section which leads to an increase of 20% to 30% in heat transfer augm
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Hsieh-chen, HSIEH-CHEN, and Tim Colonius. "Coriolis Effect on Dynamic Stall in a Vertical Axis Wind Turbine at Moderate Reynolds Number." In 32nd AIAA Applied Aerodynamics Conference. American Institute of Aeronautics and Astronautics, 2014. http://dx.doi.org/10.2514/6.2014-3140.

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Govender, Saneshan, and Peter Vadasz. "On the Effect of Mechanical and Thermal Anisotropy on the Stability of Gravity Driven Convection in Rotating Porous Media." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79029.

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We investigate Rayleigh-Benard convection in a porous layer subjected to gravitational and Coriolis body forces, when the fluid and solid phases are not in local thermodynamic equilibrium. The Darcy model (extended to include Coriolis effects and anisotropic permeability) is used to describe the flow whilst the two-equation model is used for the energy equation (for the solid and fluid phases separately). The linear stability theory is used to evaluate the critical Rayleigh number for the onset of convection and the effect of both thermal and mechanical anisotropy on the critical Rayleigh numb
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Mayo, Ignacio, Tony Arts, Julien Clinckemaillie, and Aude Lahalle. "Spatially Resolved Heat Transfer Coefficient in a Rib-Roughened Channel Under Coriolis Effects." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-94506.

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Heat transfer in a magnified rotating ribbed channel is studied by means of liquid crystal thermometry. The test section consists of four Plexiglas walls, forming a rectangular cross section, mounted on a large rotating disk together with the complete necessary measurement chain. The investigated wall is equipped with ribs perpendicular to the main flow direction, it is heated in such a way to achieve a uniform heat flux boundary condition. Facing the need of two-dimensional experimental heat transfer data, tets were carried out in order to quantify the convective heat transfer distribution on
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Chang, Shyy Woei, Tong-Minn Liou, Wen-Hsien Yeh, and Jui-Hung Hung. "Heat Transfer in a Radially Rotating Square-Sectioned Duct With Two Opposite Walls Roughened by 45° Staggered Ribs." In ASME Turbo Expo 2006: Power for Land, Sea, and Air. ASMEDC, 2006. http://dx.doi.org/10.1115/gt2006-90153.

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This paper describes an experimental study of heat transfer in a radially rotating square duct with two opposite walls roughened by 45° staggered ribs. Air coolant flows radially outward in the test channel with experiments to be undertaken that match the actual engine conditions. Laboratory-scale heat transfer measurements along centerlines of two rib-roughened surfaces are performed with Reynolds number (Re), rotation number (Ro) and density ratio (Δρ/ρ) in the ranges of 7500–15000, 0–1.8 and 0.076–0.294. The experimental rig permits the heat transfer study with the rotation number considera
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Singh, Prashant, and Srinath V. Ekkad. "Experimental Investigation of Rotating Rib Roughened Two-Pass Square Duct With Two Different Channel Orientations." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64225.

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Effects of rotation on heat transfer on leading and trailing sides of gas turbine blades has been extensively studied in the past. It has been established for typical two-pass channel that radially outward flow (first pass) has higher heat transfer on trailing side and lower heat transfer on leading side and vice versa for radially inward flow (second pass). Rotation induces three forces on the coolant flow — Coriolis, Centrifugal and Buoyancy forces. The direction of Coriolis force depends on the relative angle between the coolant flow and the rotation direction, because of which the directio
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Yang, Li, Kartikeya Tyagi, Srinath Ekkad, and Jing Ren. "Influence of Rotation on Heat Transfer in a Two-Pass Channel With Impingement Under High Reynolds Number." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-42871.

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Effect of rotation on turbine blade internal cooling is an important factor in gas turbine cooling systems. In order to minimize the impact from the Coriolis force, cooling structures with less rotation-dependent cooling effectiveness are needed. This study presents an impingement design in a two pass channel to reduce impact of rotational forces on non-uniform heat transfer behavior inside these complex channels. A Transient Liquid Crystal(TLC) method was employed to obtain local heat transfer coefficient measurements in a rotating environment. The channel Reynolds number based on the channel
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