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Thematische Bibliographien / Coriolis number / Zeitschriftenartikel

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Zeitschriftenartikel zum Thema „Coriolis number“

Autor: Grafiati

Veröffentlicht am 28. Juni 2021

Zuletzt aktualisiert am 29. Juli 2025

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1

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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3

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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6

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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9

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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Kumar, Vivek, and Martin Anklin. "Numerical simulations of Coriolis flow meters for low Reynolds number flows." MAPAN 26, no. 3 (2011): 225–35. http://dx.doi.org/10.1007/s12647-011-0021-6.

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12

Narayana Chary, K., N. Kishan, J. SharathKumar Reddy, and N. V. Koteshwar Rao. "Thermal Convection of a Casson Nanofluid with Coriolis Effect." Journal of Nanofluids 13, no. 1 (2024): 182–88. http://dx.doi.org/10.1166/jon.2024.2110.

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Onset of convection of a Casson nanofluid in the horizontal layer is studied. The normal mode technique has been employed to solve the non dimensional governing equations and this leads to the eigenvalue problem. Neutral stability curves were drawn for various physical parameters. An analytical expressions for the stationary and oscillatory Rayleigh numbers is obtained. It is observed that the Taylor number has a stabilizing effect whereas Casson parameter has a destabilizing effect.

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Schwaiger, T., T. Gastine, and J. Aubert. "Force balance in numerical geodynamo simulations: a systematic study." Geophysical Journal International 219, Supplement_1 (2019): S101—S114. http://dx.doi.org/10.1093/gji/ggz192.

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SUMMARY Dynamo action in the Earth’s outer core is expected to be controlled by a balance between pressure, Coriolis, buoyancy and Lorentz forces, with marginal contributions from inertia and viscous forces. Current numerical simulations of the geodynamo, however, operate at much larger inertia and viscosity because of computational limitations. This casts some doubt on the physical relevance of these models. Our work aims at finding dynamo models in a moderate computational regime which reproduce the leading-order force balance of the Earth. By performing a systematic parameter space survey w

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LI, BU-YANG, NAN-SHENG LIU, and XI-YUN LU. "DIRECT NUMERICAL SIMULATION OF TURBULENT FLOWS IN A VERTICAL ROTATING OPEN-CHANNEL." Modern Physics Letters B 19, no. 28n29 (2005): 1443–46. http://dx.doi.org/10.1142/s0217984905009614.

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Direct numerical simulation (DNS) is carried out to study turbulence characteristics in a vertical rotating open-channel with the rotation number N τ = 0-0.12 and the Reynolds number Re τ = 180 based on the wall friction velocity of non-rotating case and the channel depth. Here, two typical rotation regimes are identified. As 0 < N τ < 0.06, the turbulence statistics correlated with the spanwise velocity fluctuation are enhanced since the shear rate of spanwise mean flow induced by Coriolis force increases; however, the other statistics are suppressed. As N τ > 0.06, the turbulence st

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Bori, Ige, Kingsley Mudjere, Olawale james Okegbile, Samuel Adinoyi Ayo, and Sunday Bako. "Investigating the Effect of Coriolis Force In A Vibrating Pipeline." Advances in Multidisciplinary and scientific Research Journal Publication 8 (March 15, 2022): 17–32. http://dx.doi.org/10.22624/aims/v8n1p2.

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Pipelines conveying fluids are bound to vibrate during operation and if not properly handled from the design stage, there will be tendency of failure. This paper aims at studying the behavior of a pipe under the influence of a coriolis force for when conveying crude oil and natural gas only. A pipe under fixed ends condition was considered using finite element method based on Hamilton principle to determine the deformation mode shape behavior pattern, and this was validated using ANSYS software simulations. It was observed that the pipe exhibited the same behavioral pattern for crude oil when

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Riahi, D. H. "The effect of Coriolis force on nonlinear convection in a porous medium." International Journal of Mathematics and Mathematical Sciences 17, no. 3 (1994): 515–36. http://dx.doi.org/10.1155/s0161171294000761.

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Nonlinear convection in a porous medium and rotating about vertical axis is studied in this paper. An upper bound to the heat flux is calculated by the method initiated first by Howard [6] for the case of infinite Prandtl number.ForTa≪0(1), the rotational effect is not significant. For0(1)≪Ta≪0(RlogR), the Nusselt number decreases with increasingTafor a given Rayleigh numberR. The flow has always a finite number of modes, but with increasingTain this region, the number of modes decreases. The functional dependence of the Nusselt number onRandTais found to have discontinuities as the number of

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Chang, Shyy Woei, Tong-Minn Liou, Jui-Hung Hung, and Wen-Hsien Yeh. "Heat Transfer in a Radially Rotating Square-Sectioned Duct With Two Opposite Walls Roughened by 45Deg Staggered Ribs at High Rotation Numbers." Journal of Heat Transfer 129, no. 2 (2006): 188–99. http://dx.doi.org/10.1115/1.2409988.

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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 45deg 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 7500–15,000, 0–1.8, and 0.076–0.294. The experimental rig permits the heat transfer study with the rotation number cons

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van der Laan, Maarten Paul, Mark Kelly, Rogier Floors, and Alfredo Peña. "Rossby number similarity of an atmospheric RANS model using limited-length-scale turbulence closures extended to unstable stratification." Wind Energy Science 5, no. 1 (2020): 355–74. http://dx.doi.org/10.5194/wes-5-355-2020.

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Abstract. The design of wind turbines and wind farms can be improved by increasing the accuracy of the inflow models representing the atmospheric boundary layer. In this work we employ one-dimensional Reynolds-averaged Navier–Stokes (RANS) simulations of the idealized atmospheric boundary layer (ABL), using turbulence closures with a length-scale limiter. These models can represent the mean effects of surface roughness, Coriolis force, limited ABL depth, and neutral and stable atmospheric conditions using four input parameters: the roughness length, the Coriolis parameter, a maximum turbulence

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19

Watson, J. KG. "l-Type doubling: Herzberg versus Nielsen." Canadian Journal of Physics 79, no. 2-3 (2001): 521–32. http://dx.doi.org/10.1139/p00-094.

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In 1942 Gerhard Herzberg demonstrated the existence of l-type doubling in a number of bending fundamental levels of linear molecules. He attributed the doubling partly to asymmetric-top effects and partly to Coriolis interactions with the stretching modes, but Harald Nielsen and Wave Shaffer claimed that it is a purely Coriolis effect. The dispute, which was due mainly to errors in theoretical calculations, lasted for several years. This paper presents a summary of the controversy, based on published papers and letters exchanged between the main participants. PACS No.: 33.10

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Vadasz, P. "Three-Dimensional Free Convection in a Long Rotating Porous Box: Analytical Solution." Journal of Heat Transfer 115, no. 3 (1993): 639–44. http://dx.doi.org/10.1115/1.2910734.

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A three-dimensional analytical solution to the steady-state free convection problem in a long rotating porous box is presented for large values of the porous media Ekman number. The convection results from differential heating of the horizontal walls leading to temperature gradients orthogonal to the centrifugal body force. The solution to the nonlinear set of partial differential equations was obtained through an asymptotic expansion of the dependent variables in terms of two small parameters representing the reciprocal Ekman number in porous media and the aspect ratio of the domain. The resu

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21

Abdel-Wahab, Samer, and Danesh K. Tafti. "Large Eddy Simulation of Flow and Heat Transfer in a 90 deg Ribbed Duct With Rotation: Effect of Coriolis and Centrifugal Buoyancy Forces." Journal of Turbomachinery 126, no. 4 (2004): 627–36. http://dx.doi.org/10.1115/1.1791648.

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Results from large eddy simulations (LES) of fully developed flow in a 90 deg 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 parameter, Bo=0.12 and 0.30) for each rotation case. Heat transfer augmentation on the trailing side of the duct due to the action of Coriolis forces alone asymptotes to a value of 3.7±5% by

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22

Saleh, H., and I. Hashim. "Magnetohydrodynamic Natural Convection in a Rotating Enclosure." Advances in Applied Mathematics and Mechanics 8, no. 2 (2016): 279–92. http://dx.doi.org/10.4208/aamm.2013.m419.

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AbstractMagnetohydrodynamic natural convection heat transfer in a rotating, differentially heated enclosure is studied numerically in this article. The governing equations are in velocity, pressure and temperature formulation and solved using the staggered grid arrangement together with MAC method. The governing parameters considered are the Hartmann number, 0≤Ha≤70, the inclination angle of the magnetic field, 0°≤θ 90°, the Taylor number, 8.9 x 104≤Ta≤1.1 x 106 and the centrifugal force is smaller than the Coriolis force and the both forces were kept below the buoyancy force. It is found that

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Ramchandraiah, Chirnam, Naikoti Kishan, Gundlapally Shiva Kumar Reddy, Kiran Kumar Paidipati, and Christophe Chesneau. "Double-Diffusive Convection in Bidispersive Porous Medium with Coriolis Effect." Mathematical and Computational Applications 27, no. 4 (2022): 56. http://dx.doi.org/10.3390/mca27040056.

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In this paper, the thermal instability of rotating convection in a bidispersive porous layer is analyzed. The linear stability analysis is employed to examine the stability of the system. The neutral curves for different values of the physical parameters are shown graphically. The critical Rayleigh number is evaluated for appropriate values of the other governing parameters. Among the obtained results, we find: the Taylor number has a stabilizing effect on the onset of convection; the Soret number does not show any effect on oscillatory convection, as the oscillatory Rayleigh number is indepen

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Kawata, Takuya, and P. Henrik Alfredsson. "Scale interactions in turbulent rotating planar Couette flow: insight through the Reynolds stress transport." Journal of Fluid Mechanics 879 (September 26, 2019): 255–95. http://dx.doi.org/10.1017/jfm.2019.668.

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In turbulent planar Couette flow under anticyclonic spanwise system rotation, large-scale roll-cell structures arise due to a Coriolis-force-induced instability. The structures are superimposed on smaller-scale turbulence, and with increasing angular velocity ($\unicode[STIX]{x1D6FA}_{z}$) such roll cells dominate the flow field and small-scale turbulence is instead suppressed in a certain rotation number range $0<Ro\lesssim 0.1$ ($Ro=2\unicode[STIX]{x1D6FA}_{z}h/U_{w}$, where $h$ is the channel half-width, $U_{w}$ the wall velocity). At low rotation numbers around $Ro\approx 0.02$ both lar

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Bons, J. P., and J. L. Kerrebrock. "1998 Heat Transfer Committee Best Paper Award: Complementary Velocity and Heat Transfer Measurements in a Rotating Cooling Passage With Smooth Walls." Journal of Turbomachinery 121, no. 4 (1999): 651–62. http://dx.doi.org/10.1115/1.2836717.

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An experimental investigation was conducted on the internal flowfield of a simulated smooth-wall turbine blade cooling passage. The square cross-sectioned passage was manufactured from quartz for optical accessibility. Velocity measurements were taken using Particle Image Velocimetry for both heated and non-heated cases. Thin film resistive heaters on all four exterior walls of the passage allowed heat to be added to the coolant flow without obstructing laser access. Under the same conditions, an infrared detector with associated optics collected wall temperature data for use in calculating lo

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Berman, J., and L. F. Mockros. "Mass Transfer to Fluids Flowing Through Rotating Nonaligned Straight Tubes." Journal of Biomechanical Engineering 108, no. 4 (1986): 342–49. http://dx.doi.org/10.1115/1.3138626.

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Relatively inefficient heat/mass transfer is characteristic of tubular devices if the Reynolds number is low. One method of improving the heat/mass transfer efficiency of such devices is by inducing transverse laminar secondary circulations that are superimposed on the primary flow field; the resulting transverse velocity components lead to fluid mixing and hence augmented mass transfer in the tube lumen. The present work is a theoretical and experimental investigation of the enhanced transport in rotating, nonaligned, straight tubes, a method of transport enhancement that utilizes Coriolis ac

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Kloosterziel, R. C., G. F. Carnevale, and P. Orlandi. "Equatorial inertial instability with full Coriolis force." Journal of Fluid Mechanics 825 (July 19, 2017): 69–108. http://dx.doi.org/10.1017/jfm.2017.377.

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The zonally symmetric inertial instability of oceanic near-equatorial flows is studied through high-resolution numerical simulations. In homogeneous upper layers, the instability of surface-confined westward currents implies potentially fast downward mixing of momentum with a predictable final equilibrium. With increasing Reynolds number, latitudinal scales along the surface associated with the instability become ever smaller and initially the motions are ever more concentrated underneath the surface. The results suggest that even if the upper layer is stratified, it may still be necessary to

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Or, A. C. "Chaotic transitions of convection rolls in a rapidly rotating annulus." Journal of Fluid Mechanics 261 (February 25, 1994): 1–19. http://dx.doi.org/10.1017/s0022112094000224.

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Drifting convection rolls in a rapidly rotating cylindrical annulus with conical endwalls exhibit different transitional modes to chaotic flows at different Prandtl numbers. Three transition sequences for Prandtl numbers 0.3, 1.0 and 7.0 are studied for a moderately large Coriolis parameter and a wavenumber near the critical value using an initial-value code. As the Rayleigh number increases, each transition sequence first leads to a vacillating flow, and then to an aperiodic flow, the route of which is Prandtl-number dependent. From the low Prandtl number to the high Prandtl number, the trans

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LIANG, C. F., P. PARIS, CH BRIANÇON, and R. K. SHELINE. "REFLECTION ASYMMETRIC SHAPE IN 221Ra." International Journal of Modern Physics A 05, no. 08 (1990): 1551–60. http://dx.doi.org/10.1142/s0217751x90000696.

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Mass separated sources of 225Th were used to study the level structure of 221Ra following alpha decay. Fluorination techniques were used to obtain the selectivity in atomic number. The low lying levels in 221Ra are interpreted in terms of K=5/2± and 3/2± parity doublet bands which occur naturally from reflection asymmetric models. The anomalous spin sequences in the K= 3/2± bands of 221Ra are interpreted in terms of their Coriolis coupling with K=1/2± bands with large decoupling parameters. The low-lying parity doublet bands in 221Ra, 223Ra and 225Ra, and particularly the Coriolis coupling of

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Ernst, Wolfgang E., and Stefan Rakowsky. "Rotational structure of the B–X system of Na3 from high-resolution resonant two-photon ionization spectroscopy." Canadian Journal of Physics 72, no. 11-12 (1994): 1307–14. http://dx.doi.org/10.1139/p94-166.

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First investigations of the [Formula: see text] system of Na3 at rotational resolution are reported. Using resonant two-photon ionization and optical-optical double resonance spectroscopy, two vibronic bands were assigned and rotationally analyzed. In the B state, the three sodium nuclei perform a nearly free pseudorotational motion in the moat of a pseudo-Jahn–Teller potential that is characterized by a vibronic angular momentum quantum number j. In states with J > 0, each rotational level is split by Coriolis interaction. Rotational and Coriolis coupling parameters were determined and are

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Уточкин, Владимир Юрьевич, та Дмитрий Анатольевич Брацун. "Устойчивость слоя жидкости во вращающемся реакторе Хеле-Шоу при конкуренции эффектов плавучести, генерируемых силами инерции". Computational Continuum Mechanics 18, № 1 (2025): 15–31. https://doi.org/10.7242/1999-6691/2025.18.1.2.

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Technologies that involve studying heat and mass transfer processes in a rotating Hele-Shaw cell can be effectively used in particular in designing microfluidic devices and small-scale flow-type chemical reactors. A quasi-two-dimensional model allows recording density fields by optical methods, and rotation makes it possible to control them through spatially distributed inertial forces. As is known, in the limit of an infinitely thin layer, the Coriolis force disappears in a standard mathematical model. However, the experimental observations of a fluid flow in a rotating Hele-Shaw cell indicat

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Razavi, Esmail, Hosseinali Soltanipour, and Parisa Choupani. "Second law analysis of laminar forced convection in a rotating curved duct." Thermal Science 19, no. 1 (2015): 95–107. http://dx.doi.org/10.2298/tsci120606034r.

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In this paper, flow characteristics, heat transfer and entropy generation in a rotating curved duct are studied numerically. The continuity, Navier-Stokes and energy equations are solved using control volume method. The effects of Dean number, non-dimensional wall heat flux, and force ratio (the ratio of Coriolis to centrifugal forces) on the entropy generation due to friction and heat transfer irreversibility and also overall entropy generation are presented. Optimal thermal operating conditions (based on dimensionless parameters) are determined from the viewpoint of thermodynamics second law

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Matsson, O. John E., and P. Henrik Alfredsson. "Curvature- and rotation-induced instabilities in channel flow." Journal of Fluid Mechanics 210 (January 1990): 537–63. http://dx.doi.org/10.1017/s0022112090001392.

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In a curved channel streamwise vortices, often called Dean vortices, may develop above a critical Reynolds number owing to centrifugal effects. Similar vortices can occur in a rotating plane channel due to Coriolis effects if the axis of rotation is normal to the mean flow velocity and parallel to the walls. In this paper the flow in a curved rotating channel is considered. It is shown from linear stability theory that there is a region for which centrifugal effects and Coriolis effects almost cancel each other, which increases the critical Reynolds number substantially. The flow visualization

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Morris, W. D., and S. W. Chang. "Heat transfer in a radially rotating smooth-walled tube." Aeronautical Journal 102, no. 1015 (1998): 277–86. http://dx.doi.org/10.1017/s0001924000065313.

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SummaryThis paper describes a detailed experimental investigation of turbulent heat transfer in a radially rotating tube with particular reference to its application to the design of cooled turbine rotor blades. The paper focuses on the strategy adopted, the description of the apparatus used, the method of data processing and a selection of measurements which illustrate the manner by which Coriolis force and centripetal buoyancy force interactively affect the local heat transfer along the leading and trailing edges of the tube.As well as re-confirming the fact that Coriolis force and centripet

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Lucas, Carine, James C. McWilliams, and Antoine Rousseau. "On nontraditional quasi-geostrophic equations." ESAIM: Mathematical Modelling and Numerical Analysis 51, no. 2 (2017): 427–42. http://dx.doi.org/10.1051/m2an/2016041.

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In this article, we work on nontraditional models where the so-called traditional approximation on the Coriolis force is removed. In the derivation of the quasi-geostrophic equations, we carefully consider terms in δ/ε, where δ (aspect ratio) and ε (Rossby number) are both small numbers. We provide here some rigorous crossed-asymptotics with regards to these parameters, prove some mathematical results and compare QHQG and QG models.

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Audusse, E., V. Dubos, A. Duran, N. Gaveau, Y. Nasseri, and Y. Penel. "Numerical approximation of the shallow water equations with coriolis source term." ESAIM: Proceedings and Surveys 70 (2021): 31–44. http://dx.doi.org/10.1051/proc/202107003.

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We investigate in this work a class of numerical schemes dedicated to the non-linear Shallow Water equations with topography and Coriolis force. The proposed algorithms rely on Finite Volume approximations formulated on collocated and staggered meshes, involving appropriate diffusion terms in the numerical fluxes, expressed as discrete versions of the linear geostrophic balance. It follows that, contrary to standard Finite-Volume approaches, the linear versions of the proposed schemes provide a relevant approximation of the geostrophic equilibrium. We also show that the resulting methods ensur

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Steeneveld, G. J., B. J. H. van de Wiel, and A. A. M. Holtslag. "Diagnostic Equations for the Stable Boundary Layer Height: Evaluation and Dimensional Analysis." Journal of Applied Meteorology and Climatology 46, no. 2 (2007): 212–25. http://dx.doi.org/10.1175/jam2454.1.

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Abstract The performance of diagnostic equations for the stable boundary layer height h is evaluated with four observational datasets that represent a broad range of latitudes, land use, and surface roughness. In addition, large-eddy simulation results are used. Special care is given to data-quality selection. The diagnostic equations evaluated are so-called multilimit equations as derived by Zilitinkevich and coworkers in a number of papers. It appears that these equations show a serious negative bias, especially for h &lt; 100 m, and it was found that the parameters involved could not be

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Rudraiah, N., and O. P. Chandna. "Effects of Coriolis force and nonuniform temperature gradient on the Rayleigh–Benard convection." Canadian Journal of Physics 64, no. 1 (1986): 90–99. http://dx.doi.org/10.1139/p86-013.

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The effects of the Coriolis force and a nonuniform temperature gradient on the onset of the Rayleigh–Benard convection in a thin, horizontal, rotating fluid layer is studied using linear-stability analysis. It is shown analytically that the method and rate of heating, the Coriolis force, and the nature of the bounding surfaces of the fluid layer significantly influence the value of the Rayleigh number at the onset of marginal convection. The mechanism for suppressing or augmenting convection is discussed in detail. The Galerkin technique employed here is much easier to use than that the method

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Prabhu, S. V., Neelabh Arora, and R. P. Vedula. "Effect of Channel Orientation and Rib Pitch-to-Height Ratio on Pressure Drop in a Rotating Square Channel with Ribs on Two Opposite Surfaces." International Journal of Rotating Machinery 2005, no. 1 (2005): 67–76. http://dx.doi.org/10.1155/ijrm.2005.67.

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The effect of channel orientation and rib pitch-to-height ratio on the pressure drop distribution in a rib-roughened channel is an important issue in turbine blade cooling. The present investigation is a study of the overall pressure drop distribution in a square cross-sectioned channel, with rib turbulators, rotating about an axis normal to the free stream. The ribs are configured in a symmetric arrangement on two opposite surfaces with a rib angle of90∘to the mainstream flow. The study has been conducted for three Reynolds numbers, namely, 13 000, 17 000, and 22 000 with the rotation number

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Chang, Chih-Wen. "A Regularization-Free Scheme for Recovering Large External Forces of Higher-Order Nonlinear Evolution Equations." Axioms 12, no. 10 (2023): 923. http://dx.doi.org/10.3390/axioms12100923.

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In this study, the inverse engineering problems of the Ostrovsky equation (OE), Kawahara equation (KE), modified Kawahara equation (mKE), and sixth-order Korteweg-de Vries (KdV) equation will be investigated numerically. An effective numerical approach to tackle these inverse Coriolis dispersion problems and the above-mentioned inverse problems are still not available. To use different boundary shape functions, we must deal with the boundary data, initial conditions, and terminal time conditions of the OE, KE, mKE, and sixth-order KdV equations. The unknown Coriolis dispersion of OE and unknow

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Hani, Umme, and Mohammad Ali. "Analyzing the Effect of Coriolis Force on MHD Boundary Layer Flow Over a Cylindrical-Shaped Geometry with Chemical Reaction and Heat Generation: A Statistical and Numerical Approach." Journal of Nanofluids 13, no. 4 (2024): 907–29. http://dx.doi.org/10.1166/jon.2024.2186.

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The consequence of Coriolis force on natural convection boundary layer nanofluid flow over a cylindrical-shaped geometry has been investigated in the presence of the magnetic field, chemical reaction, and heat generation. In this study, the focal aim is to examine how the Coriolis force, curvature parameter, Brownian motion parameter, stretching parameter, thermophoresis parameter, and velocity slip parameter affect the velocity, heat, and concentration profiles. To convert the set of partial differential equations (PDEs) into a set of ordinary differential equations (ODEs), the similarity tra

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Wagner, J. H., B. V. Johnson, and F. C. Kopper. "Heat Transfer in Rotating Serpentine Passages With Smooth Walls." Journal of Turbomachinery 113, no. 3 (1991): 321–30. http://dx.doi.org/10.1115/1.2927879.

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Experiments were conducted to determine the effects of buoyancy and Coriolis forces on heat transfer in turbine blade internal coolant passages. The experiments were conducted with a large-scale, multipass, smooth-wall heat transfer model with both radially inward and outward flow. An analysis of the governing flow equations showed that four parameters influence the heat transfer in rotating passages: coolant-to-wall temperature ratio, Rossby number, Reynolds number, and radius-to-passage hydraulic diameter ratio. These four parameters were varied over ranges that are typical of advanced gas t

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Metcalfe, Travis S., Enrico Corsaro, Alfio Bonanno, Orlagh L. Creevey, and Jennifer L. van Saders. "Extending the Asteroseismic Calibration of the Stellar Rossby Number." Research Notes of the AAS 8, no. 10 (2024): 260. http://dx.doi.org/10.3847/2515-5172/ad8566.

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Abstract The stellar Rossby number (Ro) is a dimensionless quantity that is used in the description of fluid flows. It characterizes the relative importance of Coriolis forces on convective motions, which is central to understanding magnetic stellar evolution. Here we present an expanded sample of Kepler asteroseismic targets to help calibrate the relation between Ro and Gaia color, and we extend the relation to redder colors using observations of the mean activity levels and rotation periods for a sample of brighter stars from the Mount Wilson survey. Our quadratic fit to the combined sample

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Nitheesh, George, and M. Govardhan. "Computational Studies of Turbulent Flows in Rotating Radial and 20⁰ Backward Swept Diverging Channels." Advanced Materials Research 1016 (August 2014): 540–45. http://dx.doi.org/10.4028/www.scientific.net/amr.1016.540.

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Computational study is carried out in radial and 200 backward swept diverging channels rotating about the axial direction. Centrifugal and Coriolis forces, which are developed due to the rotation, affect the secondary flows and flow pattern inside the channel. Reynolds number of Re=36000 with Rotation numbers ranging from 0.0 and 1.5 are chosen for investigation. The variation of velocity and turbulence kinetic energy is studied at several locations of the curved channels. Positive Richardson numbers on the suction side indicates stabilizations of the flow. The stabilization effect increases w

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Benisek, Miroslav, Dejan Ilic, Djordje Cantrak, and Ivan Bozic. "Investigation of the turbulent swirl flows in a conical diffuser." Thermal Science 14, suppl. (2010): 141–54. http://dx.doi.org/10.2298/tsci100630026b.

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Results of the theoretical and experimental investigations of the turbulent mean swirl flows characteristics change along straight conical diffuser of incompressible fluid (air) are presented in this paper. The main swirl flow characteristics review is given. In addition: the specific swirl flow energy, the energy loss, the mean circulation, the swirl flow parameter, the ratio between the swirl and axial flow loss coefficients change along the diffuser are presented. Among other values: the Boussinesq number, outlet Coriolis coefficient and swirl flow loss coefficient dependences on inlet swir

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Brethouwer, G., Y. Duguet, and P. Schlatter. "Turbulent–laminar coexistence in wall flows with Coriolis, buoyancy or Lorentz forces." Journal of Fluid Mechanics 704 (July 2, 2012): 137–72. http://dx.doi.org/10.1017/jfm.2012.224.

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AbstractDirect numerical simulations of subcritical rotating, stratified and magneto-hydrodynamic wall-bounded flows are performed in large computational domains, focusing on parameters where laminar and turbulent flow can stably coexist. In most cases, a regime of large-scale oblique laminar-turbulent patterns is identified at the onset of transition, as in the case of pure shear flows. The current study indicates that this oblique regime can be shifted up to large values of the Reynolds number $\mathit{Re}$ by increasing the damping by the Coriolis, buoyancy or Lorentz force. We show evidenc

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Sarja, A., P. Singh, and S. V. Ekkad. "Parallel rotation for negating Coriolis force effect on heat transfer." Aeronautical Journal 124, no. 1274 (2020): 581–96. http://dx.doi.org/10.1017/aer.2020.1.

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ABSTRACTGas turbine blades feature multi-pass internal cooling channels, through which relatively colder air bled from the compressor is routed to cool internal walls. Under rotation, due to the influence of Coriolis force and centrifugal buoyancy, heat transfer at the trailing side enhances and that at the leading side reduces, for a radially outward flow. This non-uniform temperature distribution results in increased thermal stress, which is detrimental to blade life. In this study, a rotation configuration is presented which can negate the Coriolis force effect on heat and fluid flow, there

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Orvedahl, Ryan J., Nicholas A. Featherstone, and Michael A. Calkins. "Large-scale magnetic field saturation and the Elsasser number in rotating spherical dynamo models." Monthly Notices of the Royal Astronomical Society: Letters 507, no. 1 (2021): L67—L71. http://dx.doi.org/10.1093/mnrasl/slab097.

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ABSTRACT Numerical simulations are used to investigate large-scale (mean) magnetic field generation in rotating spherical dynamos. Beyond a certain threshold, we find that the magnitude of the mean magnetic field becomes nearly independent of the system rotation rate and buoyancy forcing. The analysis suggests that this saturation arises from the Malkus-Proctor mechanism in which a Coriolis-Lorentz force balance is achieved in the zonal component of the mean momentum equation. When based on the large-scale magnetic field, the Elsasser number is near unity in the saturated regime. The results s

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Basarab, Mikhail, and Boris Lunin. "Solving the Coriolis Vibratory Gyroscope Motion Equations by Means of the Angular Rate B-Spline Approximation." Mathematics 9, no. 3 (2021): 292. http://dx.doi.org/10.3390/math9030292.

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The exact solution of the movement equation of the Coriolis vibratory gyroscope (CVG) with a linear law of variation of the angular rate of rotation of the base is given. The solution is expressed in terms of the Weber functions (the parabolic cylinder functions) and their asymptotic representations. On the basis of the obtained solution, an analytical solution to the equation of the ring dynamics in the case of piecewise linear approximation of an arbitrary angular velocity profile on a time grid is derived. The piecewise linear solution is compared with the more rough piecewise constant solu

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RUDRAIAH, N. "Surface tension driven convection subjected to rotation and non-uniform temperature gradient." MAUSAM 37, no. 1 (1986): 39–44. http://dx.doi.org/10.54302/mausam.v37i1.2146.

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The effects of uniform rotation and non-uniform temperature gradient on the onset of India according of Marangoni convection driven by surface tension in a horizontal layer of fluid is studied subjected to infinitesimal amplitude analysis assuming both the bounding surfaces free and adiabatic. A single term Galerkin technique with single term expansion is used to obtain the eigenvalues which are then computed numerically. Attention is focused on the situation where the. Critical Marangoni number is greatest or least than that for the uniform temperature gradient. Numerical results are obtained

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