Relevant bibliographies by topics / Trapezoidal section

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Trapezoidal section'

Author: Grafiati
Published: 4 June 2025
Last updated: 15 July 2025

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Journal articles on the topic "Trapezoidal section"

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Easa, Said M., and Yan-Cheng Han. "New Compound Open Channel Section with Polynomial Sides: Improving Cost and Aesthetics." Water 11, no. 8 (2019): 1545. http://dx.doi.org/10.3390/w11081545.

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Previous research on compound trapezoidal cross sections has mainly focused on improving the prediction of the discharge (flow rate) because of its inherent challenges. This paper focuses on two other important aspects: Section shape and optimal construction cost. First, the paper proposes a new compound section with third-degree polynomial sides of main channel with horizontal bottom (HB) that allows its top corners to be smooth, called herein compound polynomial section. The special cases of this versatile section include the simple polynomial section, polygonal section, trapezoidal-rectangular section, two-segment linear-side section, and parabolic bottom-trapezoidal section. The simple polynomial section, which is the bank-full part of the compound polynomial section, can further produce parabolic (with or without HB), trapezoidal, rectangular, and triangular sections. Second, an optimization model that minimizes construction cost (excavation and lining) of the compound (or simple) polynomial section is developed. The model includes discharge and physical constraints. Theoretical and empirical methods of discharge prediction were used in the model. The results show that the simple polynomial section was more economical than the popular parabolic section by up to 8.6% when the side slopes were restricted. The new polynomial-based sections not only reduced construction cost, but also improved maintenance and aesthetics. As such, the new sections should be of interest to researchers and practitioners in hydraulic engineering.
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Ma, Bin, Zhengxiang Huang, Yongzhong Wu, Yuting Wang, Xin Jia, and Guangyue Gao. "Research on the Formation Characteristics of the Shaped Charge Jet from the Shaped Charge with a Trapezoid Cross-Section." Materials 15, no. 23 (2022): 8663. http://dx.doi.org/10.3390/ma15238663.

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The formation characteristics of the shaped charge jet (SCJ) from the shaped charge with a trapezoid cross-section is analyzed in this work. A theoretical model was developed to analyze the collapsing mechanism of the liner driven by the charge with a trapezoid cross-section. Based on the theoretical model, the axial and radial velocities of the SCJ from different trapezoid cross-section charges. The pressure model was employed to calculate the velocity for the subcaliber shaped charge, which was verified through numerical simulation. The results show that the influence of the angle of the trapezoidal charge (acute angle) on the axial velocity of the SCJ is not distinct, whereas the variation of the radial velocity of the shaped charge jet is obvious as the change in the angle of the trapezoidal charge. In addition, the related X-ray experiments were conducted to verify the theory. The theoretical results correlate with the experimental results reasonably well.
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Fan, Gui Jie. "Optimization of Trapezoidal Runner in Plastic Molding Based on MATLAB." Applied Mechanics and Materials 552 (June 2014): 66–69. http://dx.doi.org/10.4028/www.scientific.net/amm.552.66.

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The runner design is an important parts in plastic molding design. Its shape and dimensions have special effects on the molten plastic’s pressure, hot loss, injection speed, etc. At present, trapezoidal runner is used widely for better fluidity and lower assembly precision relatively compared with the circular runner. This paper uses the Fminsearch function of MATLAB and constructs an objective function based on the minimum length of the perimeter of the trapezoidal runner to optimize the trapezoidal runner section. The conclusion of this paper is that the perimeter of the trapezoidal runner is the shortest one when a equals c (shown as Fig.1), as well as the obtuse angle between a and c equals 120o. At this conditions, the volume of the molten plastic that flows through the runner section is maximum when the trapezoidal runner section area is given. The optimization results in the plastic mould design can used as the size or the constraints to drive the runner section in 3D CAD/CAM software, which can help the designer to get the trapezoidal runner section easily and quickly.
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Wang, Yijia. "Technical Research on Optimization of Irrigation Canal System Considering Genetic Algorithm." Mobile Information Systems 2022 (August 8, 2022): 1–9. http://dx.doi.org/10.1155/2022/8687532.

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In order to solve the lack of optimization and comparison of the previous schemes in the irrigation and water conservancy project reconstruction, the engineering design and planning are difficult to reach the best state, resulting in water resource waste and other problems. In this paper, genetic algorithm optimization technology of the irrigation canal system is studied, in-depth learning technology of image processing is elaborated, the rectangular optimization model is established, and the optimal nonlinear design of trapezoidal and U-shaped sections of irrigation channel is verified by engineering examples. According to the geographical location, water source, irrigation area, irrigation area, and designer’s experience, two possible irrigation scheme layouts have been determined, and the trapezoidal section has been optimized. The results show that the value of the objective function decreases rapidly with the increase of iteration time. Scheme 1 has stabilized for about 19 generations. Scheme 2 tends to be stable for about 25 generations. The optimization results of the U-shaped section show that scheme 1 is stable for about 43 generations, while scheme 2 tends to be stable for about 60 generations. By comparing the optimal schemes of the trapezoidal section and the U-section, it can be found that the water supply cost of the U-section is low. Therefore, under the condition of layout scheme 2, the U-shaped section is the best scheme. The calculation shows that under the same conditions, the trapezoidal section area is about 45% larger than the U-shaped section area. Although the trapezoidal section is adopted in the original project, the U-shaped section is recommended when construction conditions permit. The optimization method can quickly determine the overall optimization scheme of irrigation channels. The water supply cost depends on the final optimized objective function value, which is used as the reference basis for formulating the water supply price. The optimal design scheme should not only meet the provisions of engineering practice but also meet the requirements of the lowest water supply cost.
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Hao, Hongwei, Mengdong Chen, Wei Kang, Zhanfeng Deng, and Hangyin Mao. "Effect of flow channel cross-section shape on the performance of proton exchange membrane electrolysis cell." Journal of Physics: Conference Series 2728, no. 1 (2024): 012028. http://dx.doi.org/10.1088/1742-6596/2728/1/012028.

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Abstract To study the thermal and mass distribution in proton exchange membrane electrolytic cells (PEMEC), a two-phase numerical model of a single-channel electrolytic cell was established. The polarization performance and gas-heat distribution in a single-channel electrolytic cell under five different flow channel cross-sections (rectangle, trapezoid, inverted trapezoid, triangle, and circle) were studied. The findings indicate that the inverted trapezoidal flow channel’s gas buildup effect is rather severe in both the catalytic and diffusion layers. In the trapezoidal flow channel, the temperature of the proton exchange membrane region is lower, and the electrochemical performance of the rectangular flow channel electrolytic cell is the best, with an improvement rate of up to 11.47%. The electrochemical performance of the triangular and circular flow channels is the worst.
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Obernikhin, D., and A. Nikulin. "CRACKING WIDTH OF REINFORCED CONCRETE BEAMS TRAPEZOIDAL CROSS SECTION." Bulletin of Belgorod State Technological University named after. V. G. Shukhov 7, no. 4 (2022): 68–74. http://dx.doi.org/10.34031/2071-7318-2021-7-4-68-74.

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The article discusses experimental studies of the values of the crack opening width at various stages of loading the investigated trapezoidal beams. For comparison, reference samples of rectangular and tee cross-sections with the same overall dimensions are also considered. The use of trapezoidal beams in construction practice can significantly reduce the consumption of concrete in comparison with rectangular beams. It should be noted that when constructing trapezoidal beams, complete disassembly of the formwork is not required in comparison with beams of T-shaped and rectangular profiles. The paper compares the values of the loads of the appearance of the first cracks in beams with different transverse outlines. The values of the loads corresponding to the achievement of the normative limiting value of the crack opening width have been determined. In the course of the study, it was found that cracks in trapezoidal beams reach the maximum opening width at a higher loading level than cracks in rectangular and tee beams due to a greater number of cracks along the length of the element. An analysis of both absolute and relative characteristics was carried out, taking into account the consumption of concrete over the section of the elements. The main advantages and disadvantages of bending reinforced concrete elements of trapezoidal cross-section in comparison with reference samples are highlighted
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Li, Xiaofeng, Junfeng Xiao, Feng Wang, Wei Wang, and Mengqi Hu. "Research on the influence of different obstacle structures on the energy distribution characteristics of pulse detonation gas." Thermal Science, no. 00 (2021): 194. http://dx.doi.org/10.2298/tsci201026194l.

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In order to improve the gas energy conversion efficiency at the outlet of the pulse detonation combustor, numerical calculation methods were used to study the influence of three different cross-section obstacle structures of square, circle and trapezoid on the distribution characteristics of gas pressure potential energy, kinetic energy and internal energy in a single cycle at the outlet of pulse detonation combustor. The results show that: the expansion of pulse detonation gas mainly includes three stages: primary expansion, secondary expansion, and over-expansion. Gas pressure potential energy, kinetic energy and internal energy increase during the primary and secondary expansion stages, and decrease during the over-expansion stage; Pulse detonation combustor with trapezoidal cross-section obstacle structure has the smallest proportion of gas energy at the outlet of the combustor during the over-expansion stage and the highest proportion during the secondary expansion stage; compared with square and circle cross-section obstacle structures, the gas energy distribution at the outlet of the pulse detonation combustor with trapezoidal cross-section obstacle structure is the easiest for turbomachinery to convert the gas energy.
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Mihandoust, Asma, Sajad Razavi Bazaz, Nahid Maleki-Jirsaraei, Majid Alizadeh, Robert A. Taylor, and Majid Ebrahimi Warkiani. "High-Throughput Particle Concentration Using Complex Cross-Section Microchannels." Micromachines 11, no. 4 (2020): 440. http://dx.doi.org/10.3390/mi11040440.

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High throughput particle/cell concentration is crucial for a wide variety of biomedical, clinical, and environmental applications. In this work, we have proposed a passive spiral microfluidic concentrator with a complex cross-sectional shape, i.e., a combination of rectangle and trapezoid, for high separation efficiency and a confinement ratio less than 0.07. Particle focusing in our microfluidic system was observed in a single, tight focusing line, in which higher particle concentration is possible, as compared with simple rectangular or trapezoidal cross-sections with similar flow area. The sharper focusing stems from the confinement of Dean vortices in the trapezoidal region of the complex cross-section. To quantify this effect, we introduce a new parameter, complex focusing number or CFN, which is indicative of the enhancement of inertial focusing of particles in these channels. Three spiral microchannels with various widths of 400 µm, 500 µm, and 600 µm, with the corresponding CFNs of 4.3, 4.5, and 6, respectively, were used. The device with the total width of 600 µm was shown to have a separation efficiency of ~98%, and by recirculating, the output concentration of the sample was 500 times higher than the initial input. Finally, the investigation of results showed that the magnitude of CFN relies entirely on the microchannel geometry, and it is independent of the overall width of the channel cross-section. We envision that this concept of particle focusing through complex cross-sections will prove useful in paving the way towards more efficient inertial microfluidic devices.
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SHAPOVAL, V. H., O. V. SKOBENKO, O. V. NESTEROVA, and S. M. GAPIEIEV. "VERTICAL STRESS DISTRIBUTION AT THE BASE OF SOIL DAMS WITH A TRAPEZOIDAL CROSS SECTION." Ukrainian Journal of Civil Engineering and Architecture, no. 2 (August 23, 2021): 131–37. http://dx.doi.org/10.30838/j.bpsacea.2312.270421.131.760.

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Problem statement. The research materials outlined in this work make it possible to construct the design profile of dams from soil materials, taking into account the strong compressibility of the soil and check the strength of the foundation of soil dams in depth. In addition, the results obtained by us can be used to determine the lower boundary of the compressible thickness of the bases, to the upper boundary of which a distributed load of either a triangular or trapezoidal shape is applied. Methods. Theoretical studies of geomechanical processes using analytical and numerical mathematical methods. Analysis and generalization of the results of theoretical research. Results. In the course of writing this article, we obtained analytical dependences of stresses at the base of earth dams on the coordinates and applied to the upper boundary of the base of the trapezoidal external load and showed the methods of accounting. Scientific novelty. Analytical dependences of vertical normal at the base of a soil dam with a trapezoidal profile have been obtained. The profiles of the dam in the form of isosceles and non-isosceles trapezoids are considered. Practical significance. The research materials outlined in this work make it possible to construct the design profile of dams from soil materials, taking into account the strong compressibility of the soil and check the strength of the foundation of soil dams in depth. In addition, our results can be used to determine the lower boundary of the compressible strata of the bases, to the upper boundary of which a distributed load of either a triangular or trapezoidal shape is applied.
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Lu, Tianbo, Yuqiang Li, Jianxin Zhang, Pingfan Ning, and Pingjuan Niu. "Cooling and Mechanical Performance Analysis of a Trapezoidal Thermoelectric Cooler with Variable Cross-Section." Energies 13, no. 22 (2020): 6070. http://dx.doi.org/10.3390/en13226070.

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In this study, a full-scale three-dimensional trapezoidal thermoelectric cooler model is constructed to study its cooling performance and mechanical reliability using finite element simulation. Temperature dependent material properties are considered in this work. The boundary conditions similar to those in a real experimental environment are applied. The effects of the input electrical current and geometry of the thermoelectric leg on the cooling performance and reliability of a trapezoidal thermoelectric cooler are analyzed, and a comparison is made with a rectangular thermoelectric cooler. The results indicate that increasing the leg height and the variable cross-sectional design of the leg can improve the cooling performance of the trapezoidal thermoelectric cooler. Compared to the original rectangular thermoelectric cooler, the minimum chip temperature was reduced by 0.87% under the trapezoidal thermoelectric cooler with optimized geometry. Furthermore, increasing the leg height enhances the mechanical reliability of the trapezoidal thermoelectric cooler, while the trapezoidal design of the leg reduces its mechanical reliability. The maximum von Mises stress of the leg for the trapezoidal thermoelectric cooler with optimal cooling performance increased by 40.1%. The results of this work provide useful guidance for the structural design of trapezoidal thermoelectric coolers.
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Dissertations / Theses on the topic "Trapezoidal section"

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Rhodes, D. G. "An experimental investigation of the mean flow structure in wide ducts of simple rectangular and trapezoidal compound cross section, examining in particular zones of high lateral shear." Thesis, University of Birmingham, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.492544.

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Distributions of primary velocity and boundary shear stress were measured in a wide closed duct for a range of rectangular and asymmetric compound sections. At the interface between the shallow and deep subsections, the compound geometries included three different wall slopes, vertical, 1:1 and 1:2 (vertical:horizontal). The results will provide a data base for mathematical modelling, especially relevant to the field of single and two-stage open channel flows. The analysis is largely presented as the relationship between selected flow variables and two geometric parameters, relative depth H-h/H for the compound geometry and aspect ratio b/h for the rectangular. The flow variables include the measured distributions, and distributions of depth mean velocity, momentum and kinetic energy flux, apparent shear stress, local friction factor and lateral eddy viscosity. Also included are momentum and kinetic energy coefficients, cross-section friction factors and the width of lateral shear layers. In the compound section, the very detailed measurements indicate the presence of secondary flow cells for which there is little previous evidence. Secondary flow is discussed in relation to apparent shear stress and shear layer widths, and on the flood plain is shown to significantly influence the flow field beyond the range indicated by the primary velocity and bed shear stress distributions. For the rectangular geometry, new empirical equations are presented relating per cent shear force on the walls to aspect ratio.
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Čípek, Luboš. "Most přes řeku Jevišovku." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2019. http://www.nusl.cz/ntk/nusl-412918.

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This thesis focuses on design and assessment of load-bearing construction of a bridge over Jevišovka river at road I/53 near Lechovice. The bridge was designed as a trapezoidal cross-section slab. This solution was chosen from three sketch eventualities. The work includes an implementing engineering report, construction process report and report about static-analysis, the attachments include the sketch, vizualization, drawings, component drawing, construction process and the static-analysis of this structure. Computing of internal forces was performed by computational software Scia Engineer 17.
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Yuen, K. W. H. "A study of boundary shear stress, flow resistance and momentum transfer in open channels with simple and compound trapezoidal cross sections." Thesis, University of Birmingham, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.492540.

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The characteristics of fully developed turbulent flow in smooth open channels of simple trapezoidal cross-section have been examined experimentally in the range 0.5 < Fr < 3.5,1.9 x 104 < Re < 6.2 x 105 and 0.3 < 2b/H < 15.0. Subcritical flow in a compound trapezoidal channel has also been studied for relative depths between 0.05 < Dr 0.5. The effect of secondary flows and the interaction between the main channel and the flood plain flows have been shown to influence the boundary shear stress and velocity distributions significantly. For simple channels, the boundary shear stress distributions have been correlated with the geometry parameters 2b/H or Pb/Pw, and empirically derived equations are presented giving the percentage of the total shear force carried by the wall. Ancillary equations are also presented giving the correlation between the geometry parameters and the mean and maximum shear stresses. Attention is also focussed on the effect of the hydraulic parameters on flow resistance. A comparison is made between the data and traditional formulations for smooth pipes and rectangular channels. The Froude number effect is also examined and found to be important. For compound channels, the transfer of momentum between the main channel and the flood plain has been studied in detail. Boundary shear force results have been used to calculate the apparent shear forces on vertical, horizontal and inclined interfaces. An empirically derived equation relating the geometry parameters and the boundary shear force on the flood plain bed and walls is presented. In order to quantify the momentum transfer within the whole section, the Navier-Stokes equation for steady uniform flow is used, and an analytical solution to the depth averaged form of the equation compared with the experimental results. A comparison of the depth-averaged values of flow resistance with those values obtained from a one-dimensional formulation is also made, and distinct differences noted. Improvement may be made by using the resistance radius in place of the traditional hydraulic radius. Use is made of the apparent shear force results in assessing channel discharge calculation methods which are based on sub-dividing the flow area. Equations are presented giving the main channel discharge for both vertical and horizontal division planes. The methods for evaluating the critical depth in a compound channel are also reviewed and assessed against experimental data. The free overfall for simple trapezoidal channels has been studied and an analytical relationship obtained between the ratio of brink depth to critical depth and the channel bed slope. Experimental data confirm this relationship.
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Ashtiani, Abdi Iman. "Experimental And Numerical Investigation Of The Wind Effects On Long Span Bridge Decks." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613615/index.pdf.

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Long span bridges are susceptible to wind. Hence it is important to study their wind-induced vibrations to avoid any probable structural failures. In this thesis, the results of an experimental and computational investigation of the aerodynamic characteristics of trapezoid bridge deck cross-sections with three different aspect ratios (10, 12 and 15) and four different side angles (75&ordm<br>, 60 &ordm<br>, 45 &ordm<br>and 30 &ordm<br>) are analyzed and presented. The flow around rigid fixed bridge deck models is investigated to obtain the relevant aerodynamic coefficients and the vortex shedding frequency and Strouhal number. Two dimensional unsteady Reynolds Averaged Navier-Stokes equations are solved using commercial CFD software at different Reynolds numbers. The numerical results are compared with the experimental data obtained by testing the model bridge decks geometries in a low speed wind tunnel. The results of this study demonstrate that the models aerodynamic parameters except their lift coefficient are almost dependent on the aspect ratio. In addition, the influence of side angle on all aerodynamic parameters has to be taken in account.
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Hao, Chang Chun, and 張鈞豪. "Numerical and Experimental Investigations of Wind Effects on a Suspension Bridge with a Trapezoidal Cross-Section." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/53919575380755536593.

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(5929775), Kenny Sy Hu. "Large-Eddy Simulation And RANS Studies Of The Flow And Heat Transfer In A U-Duct With Trapezoidal Cross Section." Thesis, 2019.

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The thermal efficiency of gas turbines increases with the temperature of the gas entering its turbine component. To enable high inlet temperatures, even those that far exceed the melting point of the turbine materials, the turbine must be cooled. One way is by internal cooling, where cooler air passes through U-ducts embedded inside turbine vanes and blades. Since the flow and heat transfer in these ducts are highly complicated, computational fluid dynamics (CFD) based on RANS have been used extensively to explore and assess design concepts. However, RANS have been found to be unreliable – giving accurate results for some designs but not for others. In this study, large-eddy simulations (LES) were performed for a U-duct with a trapezoidal cross section to assess four widely used RANS turbulence models: realizable k-ε (k-ε), shear-stress transport (SST), Reynolds stress model with linear pressure strain (RSM-LPS), and the seven-equation stress-omega full Reynolds stress model (RSM).<div><br></div><div>When examining the capability of steady RANS, two versions of the U-duct were examined, one with a staggered array of pin fins and one without pin fins. Results obtained for the heat-transfer coefficient (HTC) were compared with experimental measurements. The maximum relative error in the predicted “averaged” HTC was found to be 50% for k-ε and RSM-LPS, 20% for SST, and 30% for RSM-τω when there are no pin fins and 25% for k-ε, 12% for the SST and RSM-τω when there are pin fins. When there are no pin fins, all RANS models predicted a large separated flow region downstream of the turn, which the experiment does show to exist. Thus, all models predicted local distributions poorly. When there were pin fins, they behaved like guide vanes in turning the flow and confined the separation around the turn. For this configuration, all RANS models predicted reasonably well.<br></div><div><br></div><div>To understand why RANS cannot predict the HTC in the U-duct after the turn when there are no pin fins, LES were performed. To ensure that the LES is benchmark quality, verification and validation were performed via LES of a straight duct with square cross section where data from experiments and direct numerical simulation (DNS) are available. To ensure correct inflow boundary condition is provided for the U-duct, a concurrent LES is performed of a straight duct with the same trapezoidal cross section and flow conditions as the U-duct. Results obtained for the U-duct show RANS models to be inadequate in predicting the separation due to their inability to predict the unsteady separation about the tip of the turn. To investigate the limitations of the RANS models, LES results were generated for the turbulent kinetic energy, Reynolds-stresses, pressure-strain rate, turbulent diffusion, pressure diffusion, turbulent transport, and velocity-temperature correlations with focus on understanding their behavior induced by the turn region of the U-duct. As expected, the Boussinesq assumption was found to be incorrect, which led to incorrect predictions of Reynolds stresses. For RSM-τω, the modeling of the pressure-strain rate was found to match LES data well, but huge error was found on modeling the turbulent diffusion. This huge error indicates that the two terms in the turbulent diffusion – pressure diffusion and turbulent transport – should be modeled separately. Since the turbulent transport was found to be ignorable, the focus should be on modeling the pressure diffusion. On the velocity-temperature correlations, the existing eddy-diffusivity model was found to be over simplified if there is unsteady separation with shedding. The generated LES data could be used to provide the guidance for a better model.<br></div>
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Lee, Ai-Huan, and 李艾嬛. "Numerical Simulation of Optical Waveguides with Trapezoidal Cross Sections." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/35929043160346276912.

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Wang, wei-jen, and 王唯任. "Heat Transfer in Rotating Twin-Pass Trapezoidal-Sectioned Passage with Two Opposite Walls Roughened by 45 Degree Ribs." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/86523915957861427583.

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碩士<br>國立高雄海洋科技大學<br>輪機工程研究所<br>94<br>An experimental study of heat transfer in a radially rotating twin-pass trapezoidal-sectioned duct with two opposite walls roughened by 450 staggered ribs was performed. Two channel orientations of 0 degree and 45 degree from the direction of rotation were tested. At each Reynolds number of 5000, 7500, 10000, 12500 and 15000, local Nusselt numbers along the centerlines of two rib-roughened surfaces with five different heating levels were acquired at rotating numbers of 0, 0.1, 0.3, 0.5, 0.7 and 1. A selection of experimental results illustrates the isolated and interactive influences of convective inertial, Coriolis and rotating buoyancy forces on local and centerline-averaged heat transfers. The isolated Coriolis force-effect improves heat transfer over two unstable surfaces of the rotating twin-pass channel. Rotating buoyancy effect undermines local heat transfer but its influence is alleviated when the rotating number increases. At rotating number of 0.7 and 1, the rotating buoyancy force acting with counter-flow manner considerably impairs local heat transfers in the end-region of the first passage with radially outward flow. With the rotating numbers in the range of 0.1 to1, the heat transfer differences between the two channels with orientations of 0 degree and 45 degree are in the range of 5-26%. As a strategic aim of the present study, heat transfer correlations are derived to evaluate the centerline-averaged Nusselt numbers over two rib-roughened surfaces that permit the individual and interactive influences of convective inertia, Coriolis force and rotating buoyancy to be quantified. As the full-field spatial heat transfer variations in the present rotating channel are not measured, the local heat transfer results generated by the present study are limited to the locations measured.
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Books on the topic "Trapezoidal section"

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Albertson, Cindy W. Aerothermal evaluation of a spherically blunted body with a trapezoidal cross section in the Langley 8-foot high-temperature tunnel. Langley Research Center, 1987.

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2

Yuen, Wai-hong Kenneth. A study of boundary shear stress, flow resistance and momentum transfer in open channels with simple and compound trapezoidal cross section. University of Birmingham, 1989.

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3

The World Market for Conveyor or Transmission Belting of Vulcanized Rubber or Trapezoidal Cross Section: A 2004 Global Trade Perspective. Icon Group International, Inc., 2005.

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Parker, Philip M. The World Market for Conveyor or Transmission Belting of Vulcanized Rubber or Trapezoidal Cross Section: A 2007 Global Trade Perspective. ICON Group International, Inc., 2006.

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Metallurgical and Inspection Requirements for Cast Sacrificial Anodes for Offshore Applications. AMPP, 1990. https://doi.org/10.5006/nace_rp0387-1990.

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Scope This recommended practice defines minimum physical quality and inspection standards for cast sacrificial anodes for offshore applications. The objectives of this recommended practice are: (1) to standardize an industry-wide practice that can be used by consultants, manufacturers, and users to define the physical requirements of anodes; and (2) to be specific enough to assist the inspection authority in their task of confirming that anodes comply with the physical requirements. This recommended practice is applicable to the majority of anodes used on fixed offshore structures, i.e. ,cast anodes with circular or trapezoidal cross sections, with length substantially greater than width, and generally of a “stand-off’ configuration (having extensions to the steel insert to achieve stand-off). This recommended practice does not select particular anode alloy compositions or define short- or long-term performance tests. This recommended practice does not specify particular anode or anode insert designs. An experienced corrosion specialist should be responsible for anode and anode insert design. Particular attention should be addressed to NACE Standard RP0176 (latest revision). The manufacturer is responsible for meeting the quality levels specified in the recommended practice. The purchaser shall determine the extent of inspection to be conducted by the purchasing organization to prove compliance with the quality specified.
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Book chapters on the topic "Trapezoidal section"

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Yasuda, Youichi, Takashi Ohnishi, and Iwao Ohtsu. "Flow Characteristics of Pool-Type Fishway with Trapezoidal Section." In Advances in Water Resources and Hydraulic Engineering. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-89465-0_345.

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Xu, Sisi, Jinhua Cao, Dacheng Jiang, and Chaohua Zhou. "Research on Structure Bonding Technology of Honeycomb Sandwich Product with Trapezoidal Cross-Section." In Lecture Notes in Mechanical Engineering. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-8867-9_26.

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Han, Guangping, Kai Liu, and Xiuhong Wang. "Calculating Elastic Modulus of Both ends Fixed Polysilicon Microbeams with Trapezoidal Cross Section." In Perspectives from Europe and Asia on Engineering Design and Manufacture. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2212-8_64.

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Yun, Zhang, and Qiao Ai-Ke. "Optimization of Cross-Section of Stent Wire in Trapezoidal Shape for the Treatment of Intracranial Aneurysm." In IFMBE Proceedings. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-29305-4_351.

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Liu, Benqin, Jin Yang, Yue Huang, and Lei Wang. "Hydraulic Research on Filling and Emptying System of Water-Saving Ship Lock for Navigation-Power Junction in Mountainous River." In Lecture Notes in Civil Engineering. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-6138-0_132.

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AbstractUsually the ship lock has the characteristics of high water head and large variation of navigable water level in mountainous area. It is suitable to construct the water-saving ship lock, which can not only save the water consumption but also reduce the working head of each stage. Therefore, it is also beneficial to solve the hydraulic problems of high head ship lock. Taking Baise ship lock as an example of ship locks for navigation-power junctions in mountainous river, we studied the water saving layout scheme and suggested that a high water saving pool and a low one should be set on both sides of the lock chamber. And each pool adopts a new type of trapezoidal transverse section in order to make full use of the topographic conditions of the project and reduce the excavation volume. The water level classification of water-saving ship lock is calculated and analyzed. The elevations of the water saving pools are determined. The layout of the filling and emptying system of the water-saving ship lock is put forward. The hydraulic characteristic indexes, the pressures of the culverts near the valves and the ship berthing conditions in lock chamber under different operating conditions of the water-saving ship lock are obtained through physical model research. Furthermore, the opening and closing modes of the valves are recommended. The results show that the water saving scheme of Baise ship lock is reasonable and feasible in hydraulics.
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Yasuda, Nario, Zengyan Cao, and Taku Nakamura. "Optimization of the Cross-Sectional Design of Trapezoidal CSG Dams ()." In Twenty-Eighth International Congress on Large Dams/Vingt-Huitième Congrès International des Grands Barrages. CRC Press, 2025. https://doi.org/10.1201/9781003642428-118.

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Violeau, Damien, Bastien Jouy, Minh-Hoang Le, and Mario Ricchiuto. "Serre and Boussinesq Models for Favre Waves in Trapezoidal Cross-Sectional Channels." In Springer Water. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-4076-5_32.

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Gökçe, Gökay, and Zafer Dursunkaya. "Thermal Performance Evaluation Methodology of Grooved Heat Pipes with Rectangular, Trapezoidal and Wedge Cross Sections." In Advances in Heat Transfer and Thermal Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4765-6_82.

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Dix, M., M. Bach, V. Kräusel, and R. Wertheim. "Efficient and Sustainable Production of Electrical Machines—Achieving a Higher slot Fill Factor Through an Innovative Forming Process Chain." In Lecture Notes in Mechanical Engineering. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-77429-4_24.

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AbstractWith the increasing electrification of mobility and the associated growing demand for electric machines, issues of efficient and resource-saving production and operation are becoming ever more central. Therefore, it is important to optimize the design of components, materials and the assembly of electric machines. An example, described in the paper, shows how to increase the slot fill factor of a stator. By optimising the wire content in the slots, electric machines can be made smaller or, at the same size, operate more powerfully resp. efficiently. Various applicable production methods have different drawbacks such as low productivity, high energy and resource consumption, and restrictions for geometric design. Here, forming technology offers remedy in the utilization of material with simple tools and its suitability for mass production. This paper shows the analysed process chain developed at Fraunhofer IWU for the forming-based production of coils with trapezoidal cross-sectional geometry. The investigation results provide a more sustainable structure and an efficient process chain.
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Shukla, Kunal Tarunkumar, and Mihir S. Suthar. "Optimal Strategies for Deteriorating Inventory Systems Under Trapezoidal Type Demand." In Handbook of Research on Promoting Business Process Improvement Through Inventory Control Techniques. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-3232-3.ch001.

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In this chapter, we study different inventory systems with trapezoidal demand rate, i.e., demand rate is a piecewise linear and continuous function. This chapter presents mathematical formulations of optimal replenishment policies for items with trapezoidal demand rate. Section 1 presents detailed literature survey for inventory systems with ramp type and trapezoidal type demand. In Section 2, Formulation technique for inventory system of items, which follows trapezoidal type demand rate. Section 3 presents effect of deterioration in model discussed in Section 2. Optimal strategy for deteriorating items with expiration dates under trapezoidal type demand and partial backlogging is discussed in Section 4. In Section 5, sensitivity analysis is carried out and chapter is concluded along with future research scope in Section 6.
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Conference papers on the topic "Trapezoidal section"

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Ortiz-Bustos, Felipe, Cesar Gallardo, Carlos Madariaga, Pia Lindh, Michele Degano, and Juan A. Tapia. "Torque Density Improvement in an Axial Flux Permanent Magnet Machine with Trapezoidal Cross-Section Rotor and Dual Three-Phase Windings." In 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE, 2025. https://doi.org/10.1109/iemdc60492.2025.11060959.

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Headland, Daniel, and Guillermo Carpintero. "Trapezoidal slot sections enabling tailored-width all-dielectric magnetic dipole antennas for substrateless all-silicon terahertz guides." In 2024 49th International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz). IEEE, 2024. http://dx.doi.org/10.1109/irmmw-thz60956.2024.10697902.

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Li, Xinru, Zhichao Luo, Luke Shillaber, Borong Hu, Chaoqiang Jiang, and Teng Long. "Toroidal Nanocrystalline Powder Core with Trapezoidal Cross Section." In 2023 IEEE International Magnetic Conference - Short Papers (INTERMAG Short Papers). IEEE, 2023. http://dx.doi.org/10.1109/intermagshortpapers58606.2023.10228309.

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"Dynamic compression of polyethylene foam with trapezoidal cross-section." In Engineering Mechanics 2018. Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, 2018. http://dx.doi.org/10.21495/91-8-625.

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Osowski, Przemysław, Mirosław Wolski, and Tomasz Piątkowski. "Analysis of the properties of trapezoidal cross-section cushioning material." In SCIENTIFIC SESSION ON APPLIED MECHANICS X: Proceedings of the 10th International Conference on Applied Mechanics. Author(s), 2019. http://dx.doi.org/10.1063/1.5091905.

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Shvachko, A. A., A. A. Zaharov, and Ya V. Turkin. "Calculation of the ring magnet with a trapezoidal cross-section." In 2014 International Conference on Actual Problems of Electron Devices Engineering (APEDE). IEEE, 2014. http://dx.doi.org/10.1109/apede.2014.6958242.

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Tamayol, A., M. Bahrami, and P. Taheri. "Slip-Flow Pressure Drop in Microchannels of General Cross-Section." In ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2008. http://dx.doi.org/10.1115/icnmm2008-62199.

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In the present study, a compact analytical model is developed to determine the pressure drop of fully-developed, incompressible, and constant properties slip-flow through arbitrary cross-section microchannels. An averaged first-order Maxwell slip boundary condition is considered. Introducing a relative velocity, the difference between the bulk flow and the boundary velocities, the axial momentum reduces to the Poisson’s equation with homogeneous boundary condition. Square root of area is selected as the characteristic length scale. Bahrami et al.’s model, which was developed no-slip boundary condition, is extended to cover the slip-flow regime in this study. The proposed model is a function of geometrical parameters of the channel: cross-sectional area, perimeter, polar moment of inertia and the Knudsen number. The model is successfully validated against existing numerical and experimental data from different sources in the literature for several shapes, including: circular, rectangular, trapezoidal, and double-trapezoidal cross-sections and a variety of gases such as: nitrogen, argon, and helium.
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Railton, C. J., and J. P. McGeehan. "Characterisation of Discontinuities in Microstrip with Rectangular and Trapezoidal Cross-Section." In 20th European Microwave Conference, 1990. IEEE, 1990. http://dx.doi.org/10.1109/euma.1990.336100.

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Rao, Ayush Kumar, and Dushyant Singh. "Effect on heat transfer coefficient in perforated trapezoidal cross section fin." In APPLIED PHYSICS OF CONDENSED MATTER (APCOM 2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0128344.

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Gameda, Takele, M. Mehdi Kabir, and Jiajun Xu. "Investigation of the Effect of Cross Section on the Convective Heat Transfer Performance of Nanoemulsion in Microchannel Heat Exchanger." In ASME 2021 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/fedsm2021-66048.

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Abstract The present study aims to numerically investigate the effect of cross section on the heat transfer performance of single-phase flow of Ethanol/Polyalphaolefin nanoemulsion fluid with ethanol concentrations of 8 wt.% in a microchannel heat exchanger. While the exterior geometry of the microchannels’ solid structure remains the same, four different cross sections of channels including: circular, upward semi-circular, rectangular, and trapezoidal, are designed with keeping the channels’ wetted perimeters, mass flow rate, and Reynolds number constant for comparison purposes. In the present study, the hydrodynamic and heat transfer characteristics, including local Nusselt number, heat transfer coefficient, and velocity profile, were investigated under a uniform wall heat flux boundary conditions within the laminar flow regime. The channel models of different cross sections were developed by the COMSOL-Multiphysics for numerical analysis. The heat transfer characteristics were then compared for different cross sections under the same operating conditions, and the effect of aspect ratio for rectangular and trapezoidal cross sections were also studied.
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Reports on the topic "Trapezoidal section"

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Walker, J. S. Liquid-metal MHD flow in a duct whose cross section changes from a rectangle to a trapezoid, with applications in fusion blanket designs. Office of Scientific and Technical Information (OSTI), 1986. http://dx.doi.org/10.2172/5409989.

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