Статті в журналах: "Rotating cone"

1

Kenyon, Kern E. "Cone Rotating in a Fluid." Natural Science 12, no. 01 (2020): 1–3. http://dx.doi.org/10.4236/ns.2020.121001.

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2

Bataineh, Khaled M., and Yazan Taamneh. "Novel rotating cone viscous micro pump." International Journal of Engineering Systems Modelling and Simulation 5, no. 4 (2013): 188. http://dx.doi.org/10.1504/ijesms.2013.056770.

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3

Beunder, E. M., K. A. van Olst, and P. C. Rem. "Shape separation on a rotating cone." International Journal of Mineral Processing 67, no. 1-4 (November 2002): 145–60. http://dx.doi.org/10.1016/s0301-7516(02)00036-4.

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4

Rewatkar, V. B., and J. H. Masliyah. "Hardwood fibre fractionation using rotating cone." Canadian Journal of Chemical Engineering 75, no. 1 (February 1997): 196–204. http://dx.doi.org/10.1002/cjce.5450750128.

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5

Afshar, A. F. S., D. R. Gabe, and B. Sewell. "Mass transfer at rotating cone electrodes." Journal of Applied Electrochemistry 21, no. 1 (January 1991): 32–39. http://dx.doi.org/10.1007/bf01103826.

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6

Nadeem, S., and S. Saleem. "Analytical Study of Rotating Non-Newtonian Nanofluid on a Rotating Cone." Journal of Thermophysics and Heat Transfer 28, no. 2 (April 2014): 295–302. http://dx.doi.org/10.2514/1.t4145.

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7

Roy, S., H. S. Takhar, and G. Nath. "Unsteady MHD Flow on a Rotating Cone in a Rotating Fluid." Meccanica 39, no. 3 (June 2004): 271–83. http://dx.doi.org/10.1023/b:mecc.0000022847.28148.98.

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8

Zheng, Ming Hui, Cong Ling Zhu, and Ji Bin Jiang. "Kinetics Analysis and Optimal Design Method Explore on Rotating Cone Reactor Based on Dynamics Theory and Modern Simulation Technology." Advanced Materials Research 538-541 (June 2012): 2781–83. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.2781.

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In this paper, design problems on rotating cone reactor have been studied and dynamics problems have been analyzed in detail, kinematics differential equation of mixture in rotating cone reactor and simulation model has been established. Rotating cone reactor prototype which was established preliminarily has been optimized with simulation software. Dynamics analysis and simulation is of great significance in raising the efficiency of BIO-FUEL-OIL flash pyrolysis rotating cone reactor, control production process reliably, and even optimizing design value and physical dimension which is reasonable in design and reducing the cost of product development process.

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9

Kenyon, Kern E. "A Cone Rotating in a Fluid Translates." Natural Science 12, no. 03 (2020): 39–41. http://dx.doi.org/10.4236/ns.2020.123007.

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10

Janssen, L. J. J. "Mass transfer at rotating ring-cone electrodes." Journal of Applied Electrochemistry 22, no. 11 (November 1992): 1091–94. http://dx.doi.org/10.1007/bf01029591.

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11

Anilkumar, D., and S. Roy. "Unsteady mixed convection flow on a rotating cone in a rotating fluid." Applied Mathematics and Computation 155, no. 2 (August 2004): 545–61. http://dx.doi.org/10.1016/s0096-3003(03)00799-9.

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12

Dijk, P. E., A. M. C. Janse, J. A. M. Kuipers, and W. P. M. van Swaaij. "Hydrodynamics of liquid flow in a rotating cone." International Journal of Numerical Methods for Heat & Fluid Flow 11, no. 5 (August 2001): 386–412. http://dx.doi.org/10.1108/09615530110397334.

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13

PEREIRA, J. C. F., and J. M. M. SOUSA. "Confined vortex breakdown generated by a rotating cone." Journal of Fluid Mechanics 385 (April 25, 1999): 287–323. http://dx.doi.org/10.1017/s002211209900436x.

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Confined vortex breakdown generated by a rotating cone within a closed cylindrical container has been studied both by numerical simulation and by experimental techniques. A comprehensive investigation of the various flow regimes has been carried out by flow visualization. From laser–Doppler measurements of the entire flow field (three velocity components) detailed maps of the time-averaged flow structures for single and double breakdown have been constructed. Three-dimensional time-dependent simulations of steady and unsteady breakdown have been performed. Steady numerical and experimental flow fields obtained at Reynolds number 2200 for a gap ratio of 2 show notable agreement. At critical Reynolds numbers of approximately 3095, for a gap ratio of 2, and 2435, for a gap ratio of 3, the flow was observed becoming unsteady. The periodic behaviour exhibited by the unsteady flow suggested the occurrence of a supercritical Hopf bifurcation. This conjecture was confirmed by the evolution of the oscillation amplitude as a function of criticality, measured for a gap ratio of 3. The dynamical behaviour of unsteady vortex breakdown structures is depicted by numerical simulation of two distinct oscillatory regimes, at Reynolds numbers 2700 and 3100. A thorough analysis of the numerical results has shown that whereas the former regime is characterized by the steady oscillation of closely axisymmetric breakdowns, the latter displays precession of breakdown structures about the central axis. Additionally, it was observed that the mode bringing about the Hopf bifurcation is non-axisymmetric, with azimuthal periodicity of π/2 radians. From examination of measured velocity power spectra at higher Reynolds numbers, a transition scenario was also educed. In the present case, the Ruelle–Takens–Newhouse theorem has been shown to apply.

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14

Hussain, Z., S. O. Stephen, and S. J. Garrett. "The Centrifugal Instability of a Slender Rotating Cone." Journal of Algorithms & Computational Technology 6, no. 1 (March 2012): 113–28. http://dx.doi.org/10.1260/1748-3018.6.1.113.

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15

Janse, A. M. C., X. A. de Jong, W. Prins, and W. P. M. van Swaaij. "Heat transfer coefficients in the rotating cone reactor." Powder Technology 106, no. 3 (December 1999): 168–75. http://dx.doi.org/10.1016/s0032-5910(99)00076-5.

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16

Chen, Sih‐Li, and Kung‐Ming Huang. "Analysis of film condensation on a rotating cone." Journal of the Chinese Institute of Engineers 15, no. 6 (September 1992): 685–94. http://dx.doi.org/10.1080/02533839.1992.9677463.

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17

Himasekhar, K., P. K. Sarma, and K. Janardhan. "Laminar mixed convection from a vertical rotating cone." International Communications in Heat and Mass Transfer 16, no. 1 (January 1989): 99–106. http://dx.doi.org/10.1016/0735-1933(89)90045-6.

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18

Hoogenkamp, Henk R., Gert-Jan Bakker, Louis Wolf, Patricia Suurs, Bertus Dunnewind, Shai Barbut, Peter Friedl, Toin H. van Kuppevelt, and Willeke F. Daamen. "Directing collagen fibers using counter-rotating cone extrusion." Acta Biomaterialia 12 (January 2015): 113–21. http://dx.doi.org/10.1016/j.actbio.2014.10.012.

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19

Bhandari, Anupam. "Study of ferrofluid flow and heat transfer between cone and disk." Zeitschrift für Naturforschung A 76, no. 8 (May 28, 2021): 683–91. http://dx.doi.org/10.1515/zna-2021-0100.

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Abstract This paper investigates the flow of water-based Fe3O4 ferrofluid flow and heat transfer due to rotating cone and disk under the influence of the external magnetic field. The similarity approach is used to transform the governing equations of ferrohydrodynamic flow into a set of nondimensional coupled differential equations. The nondimensional coupled differential equations are solved numerically through the finite element procedure. Effect of rotation of the disk, rotation of the cone, the intensity of the magnetic field, volume concentrations, and Prandtl number are analyzed on the velocity and temperature distributions. These effects are also observed on the skin friction coefficients and local heat transfer rate. The rotation of the disk, rotation of the cone, and the intensity of the magnetic field have a major impact on the velocity profiles, temperature profiles, skin friction coefficients, and local heat transfer rate.

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20

Hussain, Z., S. J. Garrett, S. O. Stephen, and P. T. Griffiths. "The centrifugal instability of the boundary-layer flow over a slender rotating cone in an enforced axial free stream." Journal of Fluid Mechanics 788 (December 22, 2015): 70–94. http://dx.doi.org/10.1017/jfm.2015.671.

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In this study, a new centrifugal instability mode, which dominates within the boundary-layer flow over a slender rotating cone in still fluid, is used for the first time to model the problem within an enforced oncoming axial flow. The resulting problem necessitates an updated similarity solution to represent the basic flow more accurately than previous studies in the literature. The new mean flow field is subsequently perturbed, leading to disturbance equations that are solved via numerical and short-wavelength asymptotic approaches, yielding favourable comparisons with existing experiments. Essentially, the boundary-layer flow undergoes competition between the streamwise flow component, due to the oncoming flow, and the rotational flow component, due to effect of the spinning cone surface, which can be described mathematically in terms of a control parameter, namely the ratio of streamwise to axial flow. For a slender cone rotating in a sufficiently strong axial flow, the instability mode breaks down into Görtler-type counter-rotating spiral vortices, governed by an underlying centrifugal mechanism, which is consistent with experimental and theoretical studies for a slender rotating cone in otherwise still fluid.

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21

Nadeem, S., and S. Saleem. "Unsteady Mixed Convection Flow of a Rotating Second-Grade Fluid on a Rotating Cone." Heat Transfer-Asian Research 43, no. 3 (August 30, 2013): 204–20. http://dx.doi.org/10.1002/htj.21072.

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22

Wang, P. F., C. Wang, and J. L. Han. "Curvature radiation in rotating pulsar magnetosphere." Proceedings of the International Astronomical Union 8, S291 (August 2012): 552–54. http://dx.doi.org/10.1017/s1743921312024842.

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AbstractWe investigate the curvature radiation from relativistic particles streaming along magnetic field lines and co-rotating with a pulsar. The co-rotation affects the trajectories of the particles and hence the emission properties, especially the polarization. For three density models in the form of core, cone and patches, we calculate the polarized emission at a given height and also the integrated emission for the whole open field line region, and try to explain the generation of circular polarization.

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23

May, N. E., J. W. Chew, and P. W. James. "Calculation of Turbulent Flow for an Enclosed Rotating Cone." Journal of Turbomachinery 116, no. 3 (July 1, 1994): 548–54. http://dx.doi.org/10.1115/1.2929444.

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Prediction of the flow in the cavity between a rotating cone and an outer stationary cone with and without throughflow is considered. A momentum-integral method and a finite difference method for solution of the Reynolds-averaged Navier–Stokes equations with a mixing-length model of turbulence are applied. These two methods have previously been validated for flow between corotating and rotor–stator disk systems, but have not been properly tested for conical systems. Both methods have been evaluated by comparing predictions with the experimental measurements of other workers. There is good agreement for cone half-angles greater than or equal to 60 deg but discrepancies are evident for smaller angles. “Taylor-type” vortices, the existence of which has been postulated by other workers and which are not captured by the present steady, axisymmetric models, may contribute to these discrepancies.

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24

Skote, Martin, Gustaf E. Mårtensson, and Arne V. Johansson. "Flow in a rapidly rotating cone‐shaped PCR‐tube." International Journal of Numerical Methods for Heat & Fluid Flow 21, no. 6 (August 9, 2011): 717–35. http://dx.doi.org/10.1108/09615531111148473.

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25

Chen, H., R. S. Jebson, and O. H. Campanella. "Determination of Heat Transfer Coefficients in Rotating Cone Evaporators." Food and Bioproducts Processing 75, no. 1 (March 1997): 17–22. http://dx.doi.org/10.1205/096030897531324.

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26

Bilal, S., Khalil Ur Rehman, Zubair Mustafa, and M. Y. Malik. "Maxwell Nanofluid Flow Individualities by Way of Rotating Cone." Journal of Nanofluids 8, no. 3 (March 1, 2019): 596–603. http://dx.doi.org/10.1166/jon.2019.1607.

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27

Heydari, Hamid, Salman Ahmadipouya, Amirhossein Shoaee Maddah, and Mohammad-Reza Rokhforouz. "Experimental and mathematical analysis of electroformed rotating cone electrode." Korean Journal of Chemical Engineering 37, no. 4 (April 2020): 724–29. http://dx.doi.org/10.1007/s11814-020-0479-4.

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28

GARRETT, S. J., Z. HUSSAIN, and S. O. STEPHEN. "The cross-flow instability of the boundary layer on a rotating cone." Journal of Fluid Mechanics 622 (March 10, 2009): 209–32. http://dx.doi.org/10.1017/s0022112008005181.

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Experimental studies have shown that the boundary-layer flow over a rotating cone is susceptible to cross-flow and centrifugal instability modes of spiral nature, depending on the cone sharpness. For half-angles (ψ) ranging from propeller nose cones to rotating disks (ψ ≥ 40°), the instability triggers co-rotating vortices, whereas for sharp spinning missiles (ψ < 40°), counter-rotating vortices are observed. In this paper we provide a mathematical description of the onset of co-rotating vortices for a family of cones rotating in quiescent fluid, with a view towards explaining the effect of ψ on the underlying transition of dominant instability. We investigate the stability of inviscid cross-flow modes (type I) as well as modes which arise from a viscous–Coriolis force balance (type II), using numerical and asymptotic methods. The influence of ψ on the number and orientation of the spiral vortices is examined, with comparisons drawn between our two distinct methods as well as with previous experimental studies. Our results indicate that increasing ψ has a stabilizing effect on both the type I and type II modes. Favourable agreement is obtained between the numerical and asymptotic methods presented here and existing experimental results for ψ > 40°. Below this half-angle we suggest that an alternative instability mechanism is at work, which is not amenable to investigation using the formulation presented here.

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29

Wang, T. Y., C. Kleinstreuer, and H. Chiang. "MIXED CONVECTION FROM A ROTATING CONE WITH VARIABLE SURFACE TEMPERATURE." Numerical Heat Transfer, Part A: Applications 25, no. 1 (January 1994): 75–83. http://dx.doi.org/10.1080/10407789408955937.

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30

Subba, Rama, Reddy Gorla, and Shoichiro Nakamura. "Mixed convection of a micropolar fluid from a rotating cone." International Journal of Heat and Fluid Flow 16, no. 1 (February 1995): 69–73. http://dx.doi.org/10.1016/0142-727x(94)00009-2.

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31

Nadeem, S., and S. Saleem. "Analytical treatment of unsteady mixed convection MHD flow on a rotating cone in a rotating frame." Journal of the Taiwan Institute of Chemical Engineers 44, no. 4 (July 2013): 596–604. http://dx.doi.org/10.1016/j.jtice.2013.01.007.

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32

Tambe, Sumit, Ferry Schrijer, Leo Veldhuis, and Arvind Gangoli Rao. "Spiral instability modes on rotating cones in high-Reynolds number axial flow." Physics of Fluids 34, no. 3 (March 2022): 034109. http://dx.doi.org/10.1063/5.0083564.

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This work shows the behavior of an unstable boundary-layer on rotating cones in high-speed flow conditions: high Reynolds number [Formula: see text], low rotational speed ratio [Formula: see text], and inflow Mach number M = 0.5. These conditions are most-commonly encountered on rotating aeroengine nose cones of transonic cruise aircraft. Although it has been addressed in several past studies, the boundary-layer instability on rotating cones remains to be explored in high-speed inflow regimes. This work uses infrared-thermography with a proper orthogonal decomposition approach to detect instability-induced flow structures by measuring their thermal footprints on rotating cones in high-speed inflow. The observed surface temperature patterns show that the boundary-layer instability induces spiral modes on rotating cones, which closely resemble the thermal footprints of the spiral vortices observed in past studies at low-speed flow conditions: [Formula: see text], S > 1, and [Formula: see text]. Three cones with half-cone angles [Formula: see text], and [Formula: see text] are tested. For a given cone, the Reynolds number relating to the maximum amplification of the spiral vortices is found to follow an exponential relation with the rotational speed ratio S, extending from the low- to high-speed regime. At a given rotational speed ratio S, the spiral vortex angle appears to be as expected from the low-speed studies, irrespective of the half-cone angle.

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33

Om Ariara Guhan, C. P., G. Arthanareeswaran, K. N. Varadarajan, and S. Krishnan. "Numerical optimization of flow uniformity inside an under body- oval substrate to improve emissions of IC engines." Journal of Computational Design and Engineering 3, no. 3 (February 16, 2016): 198–214. http://dx.doi.org/10.1016/j.jcde.2016.02.001.

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Abstract Oval substrates are widely used in automobiles to reduce the exhaust emissions in Diesel oxidation Catalyst of CI engine. Because of constraints in space and packaging Oval substrate is preferred rather than round substrate. Obtaining the flow uniformity is very challenging in oval substrate comparing with round substrate. In this present work attempts are made to optimize the inlet cone design to achieve the optimal flow uniformity with the help of CATIA V5 which is 3D design tool and CFX which is 3D CFD tool. Initially length of inlet cone and mass flow rate of exhaust stream are analysed to understand the effects of flow uniformity and pressure drop. Then short straight cones and angled cones are designed. Angled cones have been designed by two methodologies. First methodology is rotating flow inlet plane along the substrate in shorter or longer axis. Second method is shifting the flow inlet plane along the longer axis. Large improvement in flow uniformity is observed when the flow inlet plane is shifted along the direction of longer axis by 10, 20 and 30 mm away from geometrical centre. When the inlet plane is rotated again based on 30 mm shifted geometry, significant improvement at rotation angle of 20° is observed. The flow uniformity is optimum when second shift is performed based on second rotation. This present work shows that for an oval substrate flow, uniformity index can be optimized when inlet cone is angled by rotation of flow inlet plane along axis of substrate. Highlights Optimize the inlet cone design to achieve the optimal flow uniformity. Angled cones have been designed with rotating flow inlet plane along the substrate in shorter or longer axis. Large improvement in flow uniformity is observed along the direction of 10, 20 and 30 mm away from geometrical centre. Flow uniformity is optimum when second shift is performed based on second rotation.

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34

HEWITT, R. E., P. W. DUCK, and M. R. FOSTER. "Steady boundary-layer solutions for a swirling stratified fluid in a rotating cone." Journal of Fluid Mechanics 384 (April 10, 1999): 339–74. http://dx.doi.org/10.1017/s0022112099004255.

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We consider a set of nonlinear boundary-layer equations that have been derived by Duck, Foster & Hewitt (1997a, DFH), for the swirling flow of a linearly stratified fluid in a conical container. In contrast to the unsteady analysis of DFH, we restrict attention to steady solutions and extend the previous discussion further by allowing the container to both co-rotate and counter-rotate relative to the contained swirling fluid. The system is governed by three parameters, which are essentially non-dimensional measures of the rotation, stratification and a Schmidt number. Some of the properties of this system are related (in some cases rather subtly) to those found in the swirling flow of a homogeneous fluid above an infinite rotating disk; however, the introduction of buoyancy effects with a sloping boundary leads to other (new) behaviours. A general description of the steady solutions to this system proves to be rather complicated and shows many interesting features, including non-uniqueness, singular solutions and bifurcation phenomena.We present a broad description of the steady states with particular emphasis on boundaries in parameter space beyond which steady states cannot be continued.A natural extension of this work (motivated by recent experimental results) is to investigate the possibility of solution branches corresponding to non-axisymmetric boundary-layer states appearing as bifurcations of the axisymmetric solutions. In an Appendix we give details of an exact, non-axisymmetric solution to the Navier–Stokes equations (with axisymmetric boundary conditions) corresponding to the flow of homogeneous fluid above a rotating disk.

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35

Zhang, Fei, Lifen Zhang, Yundan Li, Zhenxia Liu, and Pengfei Zhu. "Experimental investigation of the icing scaling test method for a rotating cone." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 9 (August 24, 2018): 3368–80. http://dx.doi.org/10.1177/0954410018796037.

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One of the reliable methods of studying engine icing is to carry out testing in an icing wind tunnel. Due to the operational limitations of test facility, model-size scaling is adopted. An icing scaling test method for the rotating cone is established based on the dimensional analysis coupled with similarity theory and evaluated by considering the rotating effect. Similarity parameters are determined in the following five aspects: flow field similarity, droplet trajectory similarity, water catch similarity, heat balance similarity, and rotating characteristics similarity. Experimental icing tests have been performed at rime and glaze ice conditions to evaluate the scaling method in a closed-loop icing wind tunnel. Results show that the maximum error between the reference and scale ice shapes occurs at the stagnant point. On the areas apart from this, there is a significantly smaller error. Hence, the scaling test method is proven to be effective and reliable and can provide a theoretical basis for parameter selection of the ice wind tunnel tests.

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36

Ghayour, M., S. Ziaei Rad, R. Talebitooti, and M. Talebitooti. "Dynamic Analysis and Critical Speed of Pressurized Rotating Composite Laminated Conical Shells Using Generalized Differential Quadrature Method." Journal of Mechanics 26, no. 1 (March 2010): 61–70. http://dx.doi.org/10.1017/s1727719100003725.

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AbstractFree vibration analysis of rotating composite laminated conical shells with different boundary conditions using the generalized differential quadrature method (GDQM), is investigated. Equations of motion are derived based on Love's first approximation theory by taking the effects of initial hoop tension and the centrifugal and Coriolis acceleration due to rotation and initial uniform pressure load into account. Then, the equations of motion as well as the boundary condition equations are transformed into a set of algebraic equation applying the GDQM. The results are obtained for the frequency characteristics of different orthotropic parameters, rotating velocities, cone angles and boundary conditions. The presented results are compared with those available in the literature and good agreements are achieved.

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37

Nadeem, S., and S. Saleem. "An Optimized Study of Mixed Convection Flow of a Rotating Jeffrey Nanofluid on a Rotating Vertical Cone." Journal of Computational and Theoretical Nanoscience 12, no. 10 (October 1, 2015): 3028–35. http://dx.doi.org/10.1166/jctn.2015.4077.

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38

Babaei, Masoud, Faraz Kiarasi, Kamran Asemi, Rossana Dimitri, and Francesco Tornabene. "Transient Thermal Stresses in FG Porous Rotating Truncated Cones Reinforced by Graphene Platelets." Applied Sciences 12, no. 8 (April 13, 2022): 3932. http://dx.doi.org/10.3390/app12083932.

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The present work studies an axisymmetric rotating truncated cone made of functionally graded (FG) porous materials reinforced by graphene platelets (GPLs) under a thermal loading. The problem is tackled theoretically based on a classical linear thermoelasticity approach. The truncated cone consists of a layered material with a uniform or non-uniform dispersion of GPLs in a metal matrix with open-cell internal pores, whose effective properties are determined according to the extended rule of mixture and modified Halpin–Tsai model. A graded finite element method (FEM) based on Rayleigh–Ritz energy formulation and Crank–Nicolson algorithm is here applied to solve the problem both in time and space domain. The thermo-mechanical response is checked for different porosity distributions (uniform and functionally graded), together with different types of GPL patterns across the cone thickness. A parametric study is performed to analyze the effect of porosity coefficients, weight fractions of GPL, semi-vertex angles of cone, and circular velocity, on the thermal, kinematic, and stress response of the structural member.

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39

ITOH, Motoyuki, and Yutaka YAMADA. "Transition of the flow around a rotating cone in a casing." JOURNAL OF THE FLOW VISUALIZATION SOCIETY OF JAPAN 8, Supplement (1988): 7–10. http://dx.doi.org/10.3154/jvs1981.8.supplement_7.

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40

Yang Zhiqiang, 阳志强, 吴振森 Wu Zhensen, and 张耿 Zhang Geng. "Time Correlation Functions of Dynamic Speckle Produced by Rotating Cone Object." Acta Optica Sinica 33, no. 10 (2013): 1029001. http://dx.doi.org/10.3788/aos201333.1029001.

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41

Nadeem, S., and S. Saleem. "Mixed convection flow of Eyring–Powell fluid along a rotating cone." Results in Physics 4 (2014): 54–62. http://dx.doi.org/10.1016/j.rinp.2014.03.004.

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42

Neronov, A., and M. Chernyakova. "A Rotating Hollow Cone Anisotropy of TeV Emission from Binary Systems." Astrophysical Journal 672, no. 2 (December 14, 2007): L123—L126. http://dx.doi.org/10.1086/526547.

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43

Himasekhar, K., and P. K. Sarma. "Effect of suction on heat transfer rates from a rotating cone." International Journal of Heat and Mass Transfer 29, no. 1 (January 1986): 164–67. http://dx.doi.org/10.1016/0017-9310(86)90046-3.

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44

Wagenaar, B. M., J. A. M. Kuipers, and W. P. M. Van Swaaij. "Particle dynamics and gas-phase hydrodynamics in a rotating cone reactor." Chemical Engineering Science 49, no. 7 (April 1994): 927–36. http://dx.doi.org/10.1016/0009-2509(94)80002-2.

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45

Garrett, S. J., and N. Peake. "The absolute instability of the boundary layer on a rotating cone." European Journal of Mechanics - B/Fluids 26, no. 3 (May 2007): 344–53. http://dx.doi.org/10.1016/j.euromechflu.2006.08.002.

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46

CAMASSA, ROBERTO, TERRY JO LEITERMAN, and RICHARD M. MCLAUGHLIN. "Trajectory and flow properties for a rod spinning in a viscous fluid. Part 1. An exact solution." Journal of Fluid Mechanics 612 (October 10, 2008): 153–200. http://dx.doi.org/10.1017/s0022112008000918.

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Анотація:

An exact mathematical solution for the low-Reynolds-number quasi-steady hydrodynamic motion induced by a rod in the form of a prolate spheroid sweeping a symmetric double cone is developed, and the influence of the ensuing fluid motion upon passive particles is studied. The resulting fluid motion is fully three-dimensional and time varying. The advected particles are observed to admit slow orbits around the rotating rods and a fast epicyclic motion roughly commensurate with the rod rotation rate. The epicycle amplitudes, vertical fluctuations, arclengths and angle travelled per rotation are mapped as functions of their initial coordinates and rod geometry. These trajectories exhibit a rich spatial structure with greatly varying trajectory properties. Laboratory frame asymmetries of these properties are explored using integer time Poincaré sections and far-field asymptotic analysis. This includes finding a small cone angle invariant in the limit of large spherical radius whereas an invariant for arbitrary cone angles is obtained in the limit of large cylindrical radius. The Eulerian and Lagrangian flow properties of the fluid flow are studied and shown to exhibit complex structures in both space and time. In particular, spatial regions of high speed and Lagrangian velocities possessing multiple extrema per rod rotation are observed. We establish the origin of these complexities via an auxiliary flow in a rotating frame, which provides a generator that defines the epicycles. Finally, an additional spin around the major spheroidal axis is included in the exact hydrodynamic solution resulting in enhanced vertical spatial fluctuation as compared to the spinless counterpart. The connection and relevance of these observations with recent developments in nano-scale fluidics is discussed, where similar epicycle behaviour has been observed. The present study is of direct use to nano-scale actuated fluidics.

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47

Raju, Chakravarthula S. K., and Naramgari Sandeep. "Dual Solutions for Unsteady Heat and Mass Transfer in Bio-Convection Flow towards a Rotating Cone/Plate in a Rotating Fluid." International Journal of Engineering Research in Africa 20 (October 2015): 161–76. http://dx.doi.org/10.4028/www.scientific.net/jera.20.161.

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A mathematical model has been proposed for analyzing the momentum, heat and mass transfer in Bio-convection flow towards a rotating cone/plate in a rotating fluid with nonlinear thermal radiation and chemical reaction. In this study we considered gyrotactic microorganism’s contained Williamson fluid. Numerical results are carried out by using Runge-Kutta based shooting technique. The effects of dimensionless governing parameters on the flow, heat and mass transfer are illustrated graphically. It is also computed the friction factors for the tangential and azimuthal directions, local Nusselt and Sherwood numbers along with the local density of the motile organisms. It has been observed a good agreement of the present results with the existed literature. The obtained results indicate that the heat and mass transfer rate is significantly increases for higher values of buoyancy parameter and Biot number. It is also found that the heat and mass transfer performance in Bio-convection flow is significantly high on the flow over a rotating plate while compared with the rotating cone.

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48

Zhao, Wen Hui, Zhen Yun Duan, and Zhong Wei Ren. "Study on Machining and Measurement for Borosilicate Glass Conical Ellipsoid." Advanced Materials Research 291-294 (July 2011): 2999–3002. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.2999.

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Surfaces formed by rotating quadratic curve are widely applied in engineering practice. After having studied machining methods and machines, the CNC grinding method based on macro program B for borosilicate glass elliptical cone surface machine with high precision is proposed. Within the allowable error, the coordinates are calculated according to the equation of axial section curve and the surface is formed with tools moving on axial section curve. Through setting parameters of the lathe, the new canned cycle can be defined to process all different kinds of the elliptical cone surface of same type. With surface triangle adaptive measurement method, machined elliptical cone surface can be detected on coordinate-measuring machine and compared with the theoretical curve. The tolerance resulted from analysis is within 0.025mm. Except ellipsoidal surface all solids of rotation and their deformation, in which their axial sections are represented with equation, can be processed and measured with this method.

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Zamani Nejad, Mohammad, Mehdi Jabbari, and Mehdi Ghannad. "Elastic Analysis of Rotating Thick Truncated Conical Shells Subjected to Uniform Pressure Using Disk Form Multilayers." ISRN Mechanical Engineering 2014 (March 17, 2014): 1–10. http://dx.doi.org/10.1155/2014/764837.

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Using disk form multilayers, an elastic analysis is presented for determination of displacements and stresses of rotating thick truncated conical shells. The cone is divided into disk layers form with their thickness corresponding to the thickness of the cone. Due to the existence of shear stress in the truncated cone, the equations governing disk layers are obtained based on first shear deformation theory (FSDT). These equations are in the form of a set of general differential equations. Given that the truncated cone is divided into n disks, n sets of differential equations are obtained. The solution of this set of equations, applying the boundary conditions and continuity conditions between the layers, yields displacements and stresses. The results obtained have been compared with those obtained through the analytical solution and the numerical solution.

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50

YILDIRAN, DENIZ, and ORHAN DONMEZ. "NUMERICAL TREATMENT OF THIN ACCRETION DISK DYNAMICS AROUND ROTATING BLACK HOLES." International Journal of Modern Physics D 19, no. 13 (November 2010): 2111–33. http://dx.doi.org/10.1142/s0218271810018256.

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In the present study, we perform the numerical simulation of a relativistic thin accretion disk around the nonrotating and rapidly rotating black holes using the general relativistic hydrodynamic code with Kerr in Kerr–Schild coordinate that describes the central rotating black hole. Since the high energy X-rays are produced close to the event horizon resulting the black hole–disk interaction, this interaction should be modeled in the relativistic region. We have set up two different initial conditions depending on the values of thermodynamical variables around the black hole. In the first setup, the computational domain is filled with constant parameters without injecting gas from the outer boundary. In the second, the computational domain is filled with the matter which is then injected from the outer boundary. The matter is assumed to be at rest far from the black hole. Both cases are modeled over a wide range of initial parameters such as the black hole angular momentum, adiabatic index, Mach number and asymptotic velocity of the fluid. It has been found that initial values and setups play an important role in determining the types of the shock cone and in designating the events on the accretion disk. The continuing injection from the outer boundary presents a tail shock to the steady state accretion disk. The opening angle of shock cone grows as long as the rotation parameter becomes larger. A more compressible fluid (bigger adiabatic index) also presents a bigger opening angle, a spherical shock around the rotating black hole, and less accumulated gas in the computational domain. While results from [J. A. Font, J. M. A. Ibanez and P. Papadopoulos, Mon. Not. R. Astron. Soc.305 (1999) 920] indicate that the tail shock is warped around for the rotating hole, our study shows that it is the case not only for the warped tail shock but also for the spherical and elliptical shocks around the rotating black hole. The warping around the rotating black hole in our case is much smaller than the one by [J. A. Font, J. M. A. Ibanez and P. Papadopoulos, Mon. Not. R. Astron. Soc.305 (1999) 920], due to the representation of results at the different coordinates. Contrary to the nonrotating black hole, the tail shock is slightly warped around the rotating black hole. The filled computational domain without any injection leads to an unstable accretion disk. However much of it reaches a steady state for a short period of time and presents quasi-periodic oscillation (QPO). Furthermore, the disk tends to loose mass during the whole dynamical evolution. The time-variability of these types of accretion flowing close to the black hole may clarify the light curves in Sgr A*.

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