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Journal articles on the topic 'Two-dimensional rectangular prism'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Park, Jeyeol, Heechan Park, Dohoon Kim, Minseo Kim, and Youngmin Cho. "A Study on the Inscribed Prolate Spheroid and Steiner Inscribed Prolate Spheroid of Rectangular Prism." Korean Science Education Society for the Gifted 16, no. 2 (2024): 227–40. http://dx.doi.org/10.29306/jseg.2024.16.2.227.

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This study extends the concept of the inscribed Prolate Spheroid defined of tetrahedron to explore the inscribed Prolate Spheroid of Rectangular prism. Furthermore, it extends the concept of the Steiner inellipse, defined in triangles andquadrilaterals on a plane, to three dimensions to explore the Steiner inscribed Prolate Spheroid of Rectangular prism. Through this study, the following results were obtained. First, the positional relationship of the two foci of the inscribedProlate Spheroid of Rectangular prism was elucidated. Second, the existence and number of inscribed Prolate Spheroid of

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Zhou, Shuai, Yunfeng Zou, Xugang Hua, and Zhipeng Liu. "Comparison of Two-Dimensional and Three- Dimensional Responses for Vortex-Induced Vibrations of a Rectangular Prism." Applied Sciences 10, no. 22 (2020): 7996. http://dx.doi.org/10.3390/app10227996.

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The accurate prediction of the amplitudes of vortex-induced vibrations (VIV) is important in wind-resistant design. Wind tunnel tests of scaled section models have been commonly used. However, the amplitude prediction processes were usually inaccurate because of insufficient evaluations of three-dimensional (3D) effects. This study presents experimental measurements of VIV responses in a prototype rectangular prism and its 1:1 two-dimensional section model in smooth flow. The results show that the section model vibrates with the same Reynolds number, equivalent mass, frequency, and damping rat

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García‐Abdeslem, J. "Gravitational attraction of a rectangular prism with depth‐dependent density." GEOPHYSICS 57, no. 3 (1992): 470–73. http://dx.doi.org/10.1190/1.1443261.

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The gravity effect produced by two and three‐dimensional bodies with nonuniform density contrast has been treated by several authors. One of the first attempts in this direction made by Cordell (1973), who developed a method to compute the gravity effect due to a two‐dimensional prism whose density decreases exponentially with depth. A different approach was proposed by Murthy and Rao (1979). They extended the line‐integral method to obtain the gravity effect for bodies of arbitrary cross‐sections, with density contrast varying linearly with depth. Chai and Hinze (1988) have derived a wavenumb

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4

Isgаndаrov, E., R. Hushanov, and N. Shahbazli. "DIGITAL MODELING OF GRAVITY-MAGNETIC ANOMALIES." Sciences of Europe, no. 164 (May 14, 2025): 26–32. https://doi.org/10.5281/zenodo.15401264.

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The article is devoted to the issue of modeling gravitational and magnetic anomalies, which is very important in solving the main - geological problem of gravity and magnetic exploration. When solving complex geological and geophysical problems using modern digital methods of processing and interpretation, it is very important to correctly specify the physical and geological model of the geological object under study. In a particular case, a more accurate assessment of the gravitational effects of model geological structures is very important. For this, homogeneous bodies of regular shape are

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Wang, De Xi, Qin Li, Fu Bao Li, and Zong Ke Li. "Research on the Splitting Measurement Method of Space Position in Three-Dimensional Field." Advanced Materials Research 139-141 (October 2010): 2015–18. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.2015.

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A research on measurement method of space position in three-dimensional field was demonstrated in this paper. According to the basic methods and principles of three-dimensional spatial position measurement, optical path of splitting design was used to divide an object point, through the red and green filters, into two beams of red and green, and then, through flat mirror, rectangular prism, cube prism and other optical design, it imaged on the same CCD camera film. Standard mesh was used to determine the relationship between two different spatial coordinates and the spatial pixel coordinates i

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6

Xin, Mingyong, Xueling Jiang, Changbao Xu, Jing Yang, and Caijiang Lu. "Two-Dimensional Omnidirectional Wind Energy Harvester with a Cylindrical Piezoelectric Composite Cantilever." Micromachines 14, no. 1 (2023): 127. http://dx.doi.org/10.3390/mi14010127.

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To improve the response-ability of the energy harvester to multidirectional wind, this paper proposes a wind energy harvester to scavenge wind-induced vibration energy. The harvester comprises a cylindrical beam instead of conventional thin rectangular cantilevers, a bluff body (square prism or circle cylinder), and a piezoelectric tube bonded to the bottom side of the beam for energy conversion. Benefiting from the symmetry of the cylindrical structure, this harvester can respond to airflow from every direction of the two-dimensional plane. The performance of the harvester under a wind speed

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7

Korukçu, M. Özgün. "MULTITHMT: A MATLAB Application for Multidimensional Transient Heat and Mass Transfer Processes." Processes 12, no. 7 (2024): 1411. http://dx.doi.org/10.3390/pr12071411.

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Transient heat conduction and mass transfer have many applications in industry such as heating, cooling, cooking, quenching of steels, freezing, and convective drying of vegetables or fruits. A novel, interactive, and fast MATLAB application, named MULTITHMT, is improved to solve multidimensional transient heat and mass transfer problems. Exact solutions are obtained for infinite rectangular bars, short cylinders, rectangular prisms, and spherical geometries. Instantaneous temperature and moisture content at any location in the objects are obtained and temperature and moisture content at the f

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8

Zubov, L. M., and L. U. Bogachkova. "The Theory of Torsion of Elastic Noncircular Cylinders Under Large Deformations." Journal of Applied Mechanics 62, no. 2 (1995): 373–79. http://dx.doi.org/10.1115/1.2895941.

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The Saint-Venant semi-inverse method generalization for the problem of torsion under large deformations is presented. The case where a prism cross-section possesses central symmetry is regarded. The torsion problem is reduced to a two-dimensional nonlinear boundary value problem. Differential balance equations and lateral conditions are satisfied by solving the boundary value problem. End conditions are implemented so that the stress system is equivalent to the torsion moment, and to the axial force passing through the cross-section center of inertia. The energy method, used to solve the torsi

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Respati, Sri Mulyo Bondan, Rudy Soenoko, Yudy Surya Irawan, and Wahyono Suprapto. "Effect of Low Temperature Sintering on the Porosity and Microstructure of Porous Zeolite Ceramic." Applied Mechanics and Materials 836 (June 2016): 219–23. http://dx.doi.org/10.4028/www.scientific.net/amm.836.219.

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Manufacturing a porous ceramic specimen from natural zeolite materials mined in Malang, Indonesia was conducted by using a low temperature sintering. In this study, a porous ceramic property with rectangular shaped and prism shaped fillets at each end were sintered at 800-900°C and finally were investigated. Density and porosity measurements were performed using Archimedes method. The microstructure photos were used to measure the neck diameter and the contact angle between the two grains particles and two-dimensional porosity. The result of the zeolite ceramic measurement shows that the highe

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10

Leppin, Michael. "Electromagnetic modeling of 3-D sources over 2-D inhomogeneities in the time domain." GEOPHYSICS 57, no. 8 (1992): 994–1003. http://dx.doi.org/10.1190/1.1443325.

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A numerical method is presented by which the transient electromagnetic response of a two‐dimensional (2-D) conductor, embedded in a conductive host rock and excited by a rectangular current loop, can be modeled. This 2.5-D modeling problem has been formulated in the time domain in terms of a vector diffusion equation for the scattered magnetic induction, which is Fourier transformed into the spatial wavenumber domain in the strike direction of the conductor. To confine the region of solution of the diffusion equation to the conductive earth, boundary values for the components of the magnetic i

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11

Newman, Gregory A., and Gerald W. Hohmann. "Transient electromagnetic responses of high‐contrast prisms in a layered earth." GEOPHYSICS 53, no. 5 (1988): 691–706. http://dx.doi.org/10.1190/1.1442503.

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An integral‐equation solution for transient electromagnetic (TEM) scattering by prisms in layered half‐spaces is formulated to provide meaningful results when the prisms are in highly resistive layers. A prism is replaced with an unknown scattering current, which is approximated with pulse and divergence‐free basis functions in the frequency domain. Divergence‐free basis functions model eddy currents that exist in confined bodies in a very resistive host and hence simulate the inductive responses of the prisms. A Galerkin solution for the scattering current is obtained where the dominant charg

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NISHIMURA, Hiroaki, and Yoshihito TANIIKE. "FLUCTUATING PRESSURES ON TWO-DIMENSIONAL RECTANGULAR PRISMS." Journal of Structural and Construction Engineering (Transactions of AIJ) 65, no. 538 (2000): 49–55. http://dx.doi.org/10.3130/aijs.65.49_2.

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13

ORMES, NIC, and RONNIE PAVLOV. "Extender sets and multidimensional subshifts." Ergodic Theory and Dynamical Systems 36, no. 3 (2014): 908–23. http://dx.doi.org/10.1017/etds.2014.71.

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In this paper, we consider a $\mathbb{Z}^{d}$ extension of the well known fact that subshifts with only finitely many follower sets are sofic. As in Kass and Madden [A sufficient condition for non-soficness of higher-dimensional subshifts. Proc. Amer. Math. Soc.141 (2013), 3803–3816], we adopt a natural $\mathbb{Z}^{d}$ analogue of a follower set called an extender set. The extender set of a finite word $w$ in a $\mathbb{Z}^{d}$ subshift $X$ is the set of all configurations of symbols on the rest of $\mathbb{Z}^{d}$ which form a point of $X$ when concatenated with $w$. As our main result, we s

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14

Alvani, Alvani. "Profil Kreativitas Siswa SMP dalam Menyelesaikan Soal tentang Bangun Ruang Sisi Datar Ditinjau dari Gaya Kognitif." Kreano, Jurnal Matematika Kreatif-Inovatif 7, no. 2 (2016): 171–78. http://dx.doi.org/10.15294/kreano.v7i2.6437.

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Penelitian ini bertujuan mendeskripsikan profil kreativitas siswa dalam menyelesaikan soal tentang bangun ruang sisi datar ditinjau dari gaya kognitif Field Dependent (FD) dan Field Independent (FI). Subjek penelitian ini adalah dua orang siswa kelas VIII A SMP Negeri 7 Ketapang, yaitu satu siswa dengan gaya kognitif FD dan satu siswa dengan gaya kognitif FI. Penelitian ini merupakan penelitian deskriptif dengan pendekatan kualitatif. Teknik pengumpulan data dalam penelitian ini adalah pemberian The Group Ebedded Figure Test (GEFT), tes penyelesaian soal, dan wawancara. Analisis data dalam pen

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15

Гусев, О. И., and Г. С. Хакимзянов. "Numerical algorithm for calculating the interaction of surface waves with semi-immersed structures in the framework of the 2D shallow water model." Вычислительные технологии 28, no. 4 (2023): 73–93. http://dx.doi.org/10.25743/ict.2023.28.4.007.

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Детально описан алгоритм расчета взаимодействия поверхностных волн с неподвижными полупогруженными в воду сооружениями в рамках плановой бездисперсионной модели мелкой воды. Для численного решения задачи область течения разбивается на внешнюю часть, где решается система уравнений мелкой воды для течения со свободной границей, и внутреннюю область, в которой решается система уравнений несжимаемой жидкости для течения в пространстве между днищем полупогруженного тела и дном акватории. Предложен способ склеивания этих решений. Приведены результаты численного моделирования наката бора и уединенной

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16

Nazrin, Nuwair Syakir, Nurshafinaz Mohd Maruai, Mohamad Fadzli Haniff, Ahmad Faiz Mohammad, Farah Mohd Redzuan, and Shahir Mohd Yusuf. "Strategies In Harvesting Wind Energy From Flow-Induced Vibration For IoT Applications." Journal of Advanced Research in Computing and Applications 30, no. 1 (2024): 7–11. http://dx.doi.org/10.37934/arca.30.1.711.

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By linking common things to the internet and enabling them to interact and carry out diverse tasks, the Internet of Things (IoT) is revolutionizing the globe. A huge rise in data has resulted from this connectedness, and the need for energy to power these gadgets is also rising. As the number of IoT devices continues to rise, it is essential to find effective and sustainable ways to power them. By transforming ambient energy into usable electricity, energy harvesting provides a workable answer to the energy dilemma. It is possible to consume the captured energy right now or to store it for lat

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17

Yu, D., and A. Kareem. "Two-dimensional simulation of flow around rectangular prisms." Journal of Wind Engineering and Industrial Aerodynamics 62, no. 2-3 (1996): 131–61. http://dx.doi.org/10.1016/s0167-6105(96)00076-1.

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18

SanFilipo, William A., Perry A. Eaton, and Gerald W. Hohmann. "The effect of a conductive half‐space on the transient electromagnetic response of a three‐dimensional body." GEOPHYSICS 50, no. 7 (1985): 1144–62. http://dx.doi.org/10.1190/1.1441988.

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The transient electromagnetic (TEM) response of a three‐dimensional (3-D) prism in a conductive half‐space is not always approximated well by three‐dimensional free‐space or two‐dimensional (2-D) conductive host models. The 3-D conductive host model is characterized by a complex interaction between inductive and current channeling effects. We numerically computed 3-D TEM responses using a time‐domain integral‐equation solution. Models consist of a vertical or horizontal prismatic conductor in conductive half‐space, energized by a rapid linear turn‐off of current in a rectangular loop. Current

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19

Jin, Y., and L. P. Chamorro. "On the dynamics of three-dimensional slung prisms under very low and high turbulence flows." Journal of Fluid Mechanics 816 (March 7, 2017): 468–80. http://dx.doi.org/10.1017/jfm.2017.104.

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The distinctive pendulum-like oscillation and pitching patterns of cubic and rectangular slung prisms were inspected for two aspect ratios at various Reynolds numbers $Re$ under two free-stream turbulence levels. Systematic experiments were performed using high-resolution telemetry and hotwire anemometry to quantitatively characterize the dynamics of the prisms and the wake fluctuation. The results show that the dynamics of the prisms can be characterized by two distinctive regions depending on the prism shape. Specifically, in the case of cubic prisms the regions are defined by the growth rat

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20

Su, Cheng-Yong, Yue-Peng Cai, Chun-Long Chen, Mark D. Smith, Wolfgang Kaim, and Hans-Conrad zur Loye. "Ligand-Directed Molecular Architectures: Self-Assembly of Two-Dimensional Rectangular Metallacycles and Three-Dimensional Trigonal or Tetragonal Prisms." Journal of the American Chemical Society 125, no. 28 (2003): 8595–613. http://dx.doi.org/10.1021/ja034267k.

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21

Yano, Hideo, Katsuya Hirata, and Masanori Komori. "An Approximate Method for the Drags of Two-Dimensional Obstacles at Low Reynolds Numbers." Journal of Applied Mechanics 63, no. 4 (1996): 990–96. http://dx.doi.org/10.1115/1.2787257.

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We propose a new simple method of computing the drag coefficients of two-dimensional obstacles symmetrical to the main-flow axis at Reynolds numbers less than 100. The governing equations employed in this method are the modified Oseen’s linearized equation of motion and continuity equation, and the computation is based on a discrete singularity method. As examples, simple obstacles such as circular cylinders, rectangular prisms, and symmetrical Zhukovskii aerofoils are considered. And it was confirmed that the computed drags agree well with experimental values. Besides optimum shapes of these

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22

Shimada, Kenji, та Takeshi Ishihara. "Predictability of unsteady two-dimensional k−ε model on the aerodynamic instabilities of some rectangular prisms". Journal of Fluids and Structures 28 (січень 2012): 20–39. http://dx.doi.org/10.1016/j.jfluidstructs.2011.08.013.

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23

Yawei, Sun. "The effects of turbulence on the aerodynamic properties of two-dimensional rectangular prisms (II)—Elastically supported case." Acta Mechanica Sinica 5, no. 2 (1989): 118–24. http://dx.doi.org/10.1007/bf02489136.

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Jlaiel, Khouloud. "Exploring fourier transformations: benefits, limitations, and applications in analyzing two-dimensional right rectangular prism’s magnetic field." Geosciences and Engineering 12, no. 1 (2024): 57–74. https://doi.org/10.33030/geosciences.2024.01.004.

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Fourier Transformations are crucial in signal processing, offering a unique approach for complex data analysis. This paper explores their advantages and limitations, explaining key concepts like Fourier Transformation, Fourier series, Discrete Fourier Transform, and Continuous Fourier Transform, focusing on practical applications. The strengths, such as signal decomposition into frequency components, are exemplified through a case study on the total magnetic field of two-dimensional right rectangular prisms. However, limitations arise with non-stationary signals due to the assumption of statio

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Lee, S. G., S. W. Lye, B. K. A. Ngoi, and L. E. N. Lim. "An application of the energy barrier to prismatic 2 1/2-dimensional parts of uniform cross-section with non-orthogonal contiguous faces." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 211, no. 8 (1997): 627–33. http://dx.doi.org/10.1243/0954405981516562.

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The energy barrier method, first proposed by Boothroyd and associates, can be used to determine the probabilities of the natural resting aspects of objects to be conveyed on and oriented by vibratory devices. However, for parts of uniform cross-section other than square or rectangular ones, the application of the method can be intractable. In such cases, Boothroyd and associates recommended circumscribing the part by a cylinder and using the energy barrier for the cylinder to approximate the probabilities of the natural resting aspects of the part. This approximation is understandably inexact

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deGroot‐Hedlin, C., and S. Constable. "Occam’s inversion to generate smooth, two‐dimensional models from magnetotelluric data." GEOPHYSICS 55, no. 12 (1990): 1613–24. http://dx.doi.org/10.1190/1.1442813.

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Magnetotelluric (MT) data are inverted for smooth 2-D models using an extension of the existing 1-D algorithm, Occam’s inversion. Since an MT data set consists of a finite number of imprecise data, an infinity of solutions to the inverse problem exists. Fitting field or synthetic electromagnetic data as closely as possible results in theoretical models with a maximum amount of roughness, or structure. However, by relaxing the misfit criterion only a small amount, models which are maximally smooth may be generated. Smooth models are less likely to result in overinterpretation of the data and re

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Terece, Tuba, and N. Basak Yurttas. "Experiences on the perception of two- and three-dimensional concepts in interior architecture education." Global Journal of Arts Education 10, no. 1 (2020): 116–28. http://dx.doi.org/10.18844/gjae.v10i1.5333.

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In the study, at the Department of Interior Architecture and Environmental Design, Biruni University, in the 2019–2020 academic Fall Semester 1, in the scope of “introduction to Project 1” course, the applications of the students in the semester are discussed. During the implementation process, each student created original three-dimensional works based on the original works of Piet Mondrian. They have converted two-dimensional paintings into three-dimensional works with utility elements such as cubes, rectangular prisms and bars, with model materials to be used in their chosen areas. In the l

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Qu, Sen, Shengnan Liu, Muk Chen Ong, Xikun Wang, and Shuzheng Sun. "Numerical simulation of free-surface waves past semi-submerged two-dimensional rectangular prisms with different aspect ratios and rounding chamfer radii." Ocean Engineering 269 (February 2023): 113604. http://dx.doi.org/10.1016/j.oceaneng.2022.113604.

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Panfilov, S. V., D. A. Romanyuk, and Yu M. Tsirkunov. "Dusty Gas Flow past Bodies under Scattering of Rebounded Particles." Fluid Dynamics 58, no. 4 (2023): 569–85. http://dx.doi.org/10.1134/s0015462823600487.

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Abstract Two-phase gas-particle flow over a flat plate of finite thickness in a channel at a high subsonic velocity and supersonic transverse flow past a cylinder are considered. The leading edge of the plate is wedge-shaped or represents a smooth bluntness of constant radius. The wedge surface and the front bluntness are specified both smooth and rough. The roughness is modeled by a two-dimensional profile based on an experiment. Spherical particles and a mixture of particles in the form of ellipsoids of revolution, rectangular prisms, prisms with flat-cut vertices, and tetrahedrons are consi

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Panfilov, S. V., D. A. Romanyuk, and Yu M. Tsirkunov. "Dusty Gas Flow past Bodies under Scattering of Rebounded Particles." Известия Российской академии наук. Механика жидкости и газа, no. 4 (July 1, 2023): 64–80. http://dx.doi.org/10.31857/s1024708423600069.

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Two-phase gas-particle flow over a flat plate of finite thickness in a channel at a high subsonic velocity and supersonic transverse flow past a cylinder are considered. The leading edge of the plate is wedge-shaped or represents a smooth bluntness of constant radius. The wedge surface and the front bluntness are specified both smooth and rough. The roughness is modeled by a two-dimensional profile based on an experiment. Spherical particles and a mixture of particles in the form of ellipsoids of revolution, rectangular prisms, prisms with flat-cut vertices, and tetrahedrons are considered. Th

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Kraft, Rainer, Martin Valldor, and Rainer Pöttgen. "Ternary Gallides REMgGa (RE = Y, La, Pr, Nd, Sm–Tm, Lu) – Synthesis and Crystal Chemistry." Zeitschrift für Naturforschung B 58, no. 9 (2003): 827–31. http://dx.doi.org/10.1515/znb-2003-0903.

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The title compounds have been synthesized by reacting the elements in sealed niobium or tantalum tubes in a high-frequency furnace. They crystallize with the hexagonal ZrNiAl type structure, space group P62m. All gallides have been characterized through their X-ray powder diffractogram. The cell volume decreases from the lanthanum to the lutetium compound as expected from the lanthanoid contraction. The structures of LaMgGa, PrMgGa, NdMgGa, SmMgGa and TmMgGa have been refined from single crystal diffractometer data. The structures contain two crystallographically independent gallium sites whic

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Tang, Zhaolie, Guang Zou, and Linsheng Li. "The effect of damping on the vortex-induced vibration of a rectangular prism." Physics of Fluids 36, no. 2 (2024). http://dx.doi.org/10.1063/5.0188667.

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In this work, the vortex-induced vibration of a rectangular prism with a side ratio of 4 is numerically investigated using a two-dimensional spectral-element method for several structural damping. The prism is constrained to vibrate only in the cross-flow direction. The vibration is governed by an impinging leading-edge vortex instability, while the trailing-edge vortex between two leading-edge vortices also contributes to the amplitude. The results show that increasing the damping reduces not only the displacement amplitude but also the range of lock-in. It is found that the phase difference

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"A strategy for modifying the effect of turbulence integral scale on fluctuating pressures of rectangular prisms." Physics of Fluids 35, no. 6 (2023). http://dx.doi.org/10.1063/5.0148901.

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The turbulence integral scale has a significant effect on the fluctuating pressures encountered by prisms. At present, the turbulence integral scale cannot be adequately simulated, leading to errors in the fluctuating pressure. Based on the two-wavenumber aerodynamic admittance function of fluctuating pressure, this paper describes a strategy for modifying the fluctuating pressure of rectangular prisms in turbulent flows. Using the three-dimensional theory of lift, a three-dimensional model of fluctuating pressure is established, in which the two-wavenumber power spectrum of fluctuating pressu

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"Solutions to the Tipping Point Problem." Mathematics Teacher 106, no. 1 (2012): 60–63. http://dx.doi.org/10.5951/mathteacher.106.1.0060.

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The problem posed in MT August 2011 (vol. 105, no. 1, pp. 62-66) asked readers to consider the two-dimensional version of tipping a bowl (assumed to be a rectangular prism) to spoon out the last little bit of melted ice cream. Here is the essence of the problem: Given a fluid region of fixed area A contained in a rectangle whose width is W, find a formula for the fluid depth D when the container is tilted through a known angle T that is measured from horizontal.

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Sharifi, Javad. "Prism-shaped rock physics template." GEOPHYSICS, April 13, 2024, 1–46. http://dx.doi.org/10.1190/geo2023-0661.1.

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Despite the emergence of statistical and intelligent approaches for quantitative seismic interpretation in recent years, Rock Physics Templates (RPTs) are still preferred because of their simplicity and easy implementation. RPTs have been introduced as a fundamental tool for lithology and fluid discrimination based on well-log and seismic data, which have already been proven in terms of accuracy and reliability. Considering the demand for comprehensive RPTs and improving their efficiency, I proposed a novel three-dimensional prism-shaped template for lithology and fluid discrimination, called

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Liu, Cewen, Mengyao Sun, Wei Wu, et al. "Enhancing the resolution of three‐dimensional migration images based on space‐variant point spread function deconvolution." Geophysical Prospecting, February 13, 2024. http://dx.doi.org/10.1111/1365-2478.13477.

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AbstractImproving the resolution of seismic migration images plays an important role for geophysical interpreters to characterize underground reservoirs. However, the classical image domain least‐squares migration method based on the local‐stationary assumption cannot obtain a satisfactory high‐resolution seismic image due to the significant spatial variant characteristics of the point spread function. To mitigate this problem, we proposed a high‐resolution point spread function deconvolution method and applied it to two‐dimensional cases. Nevertheless, extending the two‐dimensional method to

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Montes Gomez, Everardo, and David Sumner. "The Wake of a Rectangular Flat Plate." Fluid Dynamics Research, December 15, 2022. http://dx.doi.org/10.1088/1873-7005/acabe3.

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Abstract The mean wake of a three-dimensional surface-mounted rectangular flat plate was studied experimentally in a low-speed wind tunnel for four different aspect (height-to-width) ratios, AR = 3, 2, 1, and 0.5. The Reynolds number based on the plate width was Re = 3.8×104 and the boundary layer thickness on the ground plane, relative to the plate width, was δ/W = 1.1. The incidence angle of the plate was varied from α = 0° (where the plate is normal to the flow) to α = 90° (where the plate is parallel to the flow). The mean velocity and vorticity fields in the wake were measured using a sev

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Zampogna, Giuseppe A., and Edouard Boujo. "From thin plates to Ahmed bodies: linear and weakly nonlinear stability of rectangular prisms." Journal of Fluid Mechanics 966 (June 29, 2023). http://dx.doi.org/10.1017/jfm.2023.426.

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Abstract:

We study the stability of laminar wakes past three-dimensional rectangular prisms. The width-to-height ratio is set to $W/H=1.2$ , while the length-to-height ratio $1/6< L/H<3$ covers a wide range of geometries from thin plates to elongated Ahmed bodies. First, global linear stability analysis yields a series of pitchfork and Hopf bifurcations: (i) at lower Reynolds numbers $Re$ , two stationary modes, $A$ and $B$ , become unstable, breaking the top/bottom and left/right planar symmetries, respectively; (ii) at larger $Re$ , two oscillatory modes become unstable and, again, each mode bre

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