Circular Ones Research Articles

A non-newtonian approach to geometric phase through optic fiber via multiplicative quaternions

In this paper, we researched magnetic and electromagnetic curves in multiplicative Euclidean 3-space via multiplicative quaternion algebra. Firstly, we examined the geometric phase representation of the polarized light wave in the optic fiber by multiplicative Frenet frame. Using the quaternionic approaches, we were able to derive the magnetic curve equations and theorems. Then, three particular instances have been illustrated with examples of electromagnetic curves and magnetic field equations. Lastly, we provided an interpretation of the findings. With the help of the results, we were able to present an alternative viewpoint on the construction of trajectories (such as circular or spiral-like ones) that do not exist uniquely in the realm of physics.

Porous dielectric design for high-performance flexible shear sensors

Abstract Flexible sensors, renowned for their exceptional adaptability, are widely utilized in areas such as robotics and healthcare monitoring. Currently, understanding the relationship between the structure and performance of flexible shear sensors has become increasingly important. In this study, the structural characteristics of porous flexible shear sensors and their impact on performance were analyzed using Finite Element Method (FEM). The investigation focused on three factors: porosity, pore size, and the shape of elliptical pores. The findings suggest that augmenting the porosity substantially boosts the shear sensitivity of the sensor, whereas the pore size exerts a relatively minor influence on sensitivity. Furthermore, compared to circular ones, elliptical pores can further increase the shear sensitivity of the sensor, particularly when the ellipse’s major axis is oriented horizontally. These findings are of significant reference value for designing and optimizing high-performance flexible shear sensors.

Moment capacity of cold-formed steel channel beams with edge-stiffened and unstiffened elongated web holes

Cold-formed steel channel beams (CFSCB) often incorporate web holes to accommodate building services, but this reduces their moment capacity due to decreased web area. Recent studies have shown that a new type of edge-stiffened web holes can enhance moment capacity, especially for circular ones, and can now be extended to elongated web holes. However, there hasn't been research on the moment capacity of such CFSCB with elongated web holes. This paper uses finite element analysis (FEA) to examine the moment capacity and flexural behaviour of such beams with both elongated edge-stiffened web holes (EEH) and elongated unstiffened web holes (EUH). After validating the FEA models against experimental results available in the literature, a comprehensive parametric study involving 2160 FEA models was conducted. Results showed that CFSCB with EEH exhibited, on average, a 9% increase in moment capacity compared to those with EUH. Additionally, the parametric results were compared with the design capacities calculated from existing standards for CFSCB with unstiffened web holes. It was found that the current design equations for CFSCB with EUH were overly conservative by 9% and 66%, on average, for distortional or local buckling failure and lateral-torsional buckling failure, respectively. Consequently, modified Direct Strength Method (DSM) design equations were proposed to calculate the moment capacity of CFSCB with both EEH and EUH. Finally, a reliability analysis was conducted to assess the accuracy of the proposed design equations.

Mitogenomes comparison of 3 species of Asparagus L shedding light on their functions due to domestication and adaptative evolution

BackgroundAsparagus L., widely distributed in the old world is a genus under Asparagaceae, Asparagales. The species of the genus were mainly used as vegetables, traditional medicines as well as ornamental plants. However, the evolution and functions of mitochondrial (Mt) genomes (mitogenomes) remains largely unknown. In this study, the typical herbal medicine A. taliensis and ornamental plant A. setaceus were used to assemble and annotate the mitogenomes, and the resulting mitogenomes were further compared with published mitogenome of A. officinalis for the analysis of their functions in the context of domestication and adaptative evolution.ResultsThe mitochondrial genomes of both A. taliensis and A. setaceus were assembled as complete circular ones. The phylogenetic trees based on conserved protein-coding genes of Mt genomes and whole chloroplast (Cp) genomes showed that, the phylogenetic relationship of the sampled 13 species of Asparagus L. were not exactly consistent. The collinear analyses between the nuclear (Nu) and Mt genomes confirmed the existence of mutual horizontal genes transfers (HGTs) between Nu and Mt genomes within these species. Based on RNAseq data, the Mt RNA editing were predicted and atp1 and ccmB RNA editing of A. taliensis were further confirmed by DNA sequencing. Simultaneously homologous search found 5 Nu coding gene families including pentatricopeptide-repeats (PPRs) involved in Mt RNA editing. Finally, the Mt genome variations, gene expressions and mutual HGTs between Nu and Mt were detected with correlation to the growth and developmental phenotypes respectively. The results suggest that, both Mt and Nu genomes co-evolved and maintained the Mt organella replication and energy production through TCA and oxidative phosphorylation .ConclusionThe assembled and annotated complete mitogenomes of both A. taliensis and A. setaceus provide valuable information for their phylogeny and concerted action of Nu and Mt genomes to maintain the energy production system of Asparagus L. in the context of domestication and adaptation to environmental niches.

Experimental investigation of flow splitters' impact on the hydraulics of Piano Key Weirs

Piano Key Weirs (PKWs) have gained significant attention due to due to challenges associated with nappe oscillation in their flow dynamics. This experimental study explores the effectiveness of flow splitters—specifically circular, square, and rectangular designs—in enhancing the hydraulic performance of various PKW shapes: triangular, rectangular, and trapezoidal, under a range of hydraulic conditions, including both free and submerged flow. Experiments were conducted in a dedicated channel, 10 m long, 0.75 m wide, and 0.80 m high. The results indicate that under submerged flow conditions, discharge coefficients decreased by 61 % for rectangular, 59 % for triangular, and 55 % for trapezoidal PKWs compared to free flow, reflecting a reduction in efficiency. Notably, the trapezoidal PKWs maintained the highest discharge coefficient, improving efficiency by 2 % over triangular PKWs and by 12 % over rectangular PKWs. Flow splitters facilitate flow separation by linking entrapped air beneath the flow to the free surface, thereby mitigating nappe oscillation. In free flow conditions, rectangular and square splitters are more effective than circular ones for flow separation and energy dissipation, although geometric variations did not significantly influence the upstream water head in submerged flow scenarios. While flow splitters did not affect the discharge coefficient or efficiency of the various weir shapes under submerged conditions, they were found to decrease discharge by 10 % for triangular PKWs in free flow conditions. Overall, flow splitters demonstrated greater efficiency in submerged flow scenarios. In free flow, triangular PKWs were observed to dissipate approximately 4.4 % more energy than rectangular PKWs and 6 % more than trapezoidal shapes, with minimal differences in energy dissipation during submerged flow. This research also introduces a new equation for estimating the discharge coefficient in free flow, incorporating a correction factor yielding R2 = 0.967, RMSE = 0.217, and MRPE = 5.94 %, expanding upon the work of Zarei et al. [19] for submerged flows. The study enhances understanding of hydraulic behaviors and discharge coefficients of PKWs equipped with flow splitters, contributing to improved aeration performance.

Compressive behaviour of concrete columns confined with textile reinforced concrete composites

The enhancement of strength and deformation capacity in confined concrete members could be achieved through the application of advanced composite materials. Textile reinforced concrete (TRC), a novel cement-based composite material, is considered as a viable alternative to fiber reinforced polymer (FRP) sheets, addressing the limitations associated with organic resins. This study delved into the impact of various parameters, such as cross-section shapes, concrete strengths, and the number of TRC layers, on the confinement effect. The results reveal a consistent augmentation in both axial compressive strength and deformation capacity of confined concrete with an escalation in the number of TRC layers, irrespective of the cross-sectional configurations. Notably, the maximum enhancements in axial peak stress for rectangular, square, and circular specimens are recorded at 45.96 %, 49.98 %, and 90.06 %, respectively, accompanied by corresponding increases in axial strains of 56.28 %, 53.74 %, and 86.00 %, respectively. The effectiveness of TRC confinement exhibits a substantial correlation with the geometry of the cross-sections. The circular ones have higher utilization rates followed by the square ones, and the rectangular ones with section aspect ratio greater than 1.0 have the lowest utilization rates. Furthermore, an evaluation of existing confinement identification models indicates that both the Mirminan Model and Wu Model could effectively delineate the hardening and softening characteristics of circular and rectangular specimens. However, there exists scope for improving the accuracy of these models. Therefore, a novel modified identification model, predicated on the Mirminan model, was proposed to refine the confinement assessment process. The revised modified confinement ratio (MCR) is recommended at a value of 0.045, aiming to elevate the precision and reliability of confinement evaluations in concrete structures.

Genome-wide characterization of extrachromosomal circular DNA in SLE and functional analysis reveal their association with apoptosis

Extrachromosomal circular DNA (eccDNA) derived from linear chromosomes, are showed typical nucleosomal ladder pattern in agarose gel which as a known feature of apoptosis and demonstrated to be immunogenicity. In systemic lupus erythematosus (SLE) patients, elevated levels of cell-free DNA (cfDNA) can be found in either linear forms or circular forms, while circular ones are much less common and harder to detect. The molecular characteristics and function of circular forms in plasma SLE patients remains elusive. Herein, we characterized the hallmarks of plasma eccDNA in SLE patients, including the lower normalized number and GC content of eccDNA in SLE plasma than in the healthy, and SLE eccDNA number positively correlated with C3 and negatively with anti-dsDNA antibodies. The differential eccGenes (eccDNAs carrying the protein coding gene sequence) of SLE was significantly enriched in apoptosis-related pathways. The artificially synthesized eccDNA with sequences of the PRF1 exon region could promote transcriptional expression of PRF1, IFNA and IFIT3 and inhibit early-stage apoptosis. Plasma eccDNA can serve as a novel autoantigen in the pathogenesis of SLE.

The behaviour of eccentric sub-pc massive black hole binaries embedded in massive discs

Using the 3D smoothed-particle hydrodynamics code PHANTOM, we investigated the evolution of the orbital properties of massive black hole binaries embedded in massive discs where gravitational instabilities (GIs) triggered by the disc’s self-gravity are the only significant source of angular momentum transport. In particular, we investigated the evolution of binaries with different initial eccentricities of e0 = 0.05, 0.5, 0.8 and mass ratios of q = 0.1, 0.3, 0.9. Previous studies indicate an equilibrium eccentricity of around 0.6 < e < 0.8, where the binary tidal torques and disc self-gravity torque are in dynamical balance. Our simulations suggest that there might not be a universal value of critical eccentricity. We find that binaries that are initially more eccentric attain higher asymptotic eccentricity than more circular ones do. This implies that there is a range of critical eccentricity values that depend on the initial condition and microphysics (initial eccentricity, mass ratio, cooling) of the system. In particular, we find the width of this range to be narrower for more unequal binaries. We furthermore measured preferential accretion on one of the binary components, only finding more accretion onto the primary for the mass ratio q = 0.3 and eccentricity e = 0.8. We discuss how this might have implications for the amplitude of the gravitational wave background detected by pulsar timing array (PTA) experiments. We finally measure the corresponding value of the viscosity parameter α due to GIs in our simulations and discuss how this depends on the binary properties.

Geometry effect on the mass transfer of slug flow in the microchannels with periodic expansion units

Although it was experimentally verified the microchannels with periodic expansion structures can effectively intensify the mass transfer of the slug flow, little research has focused on their geometric design. Hereon, a numerical simulation is conducted to evaluate the impact of microchannel geometry on the mass transfer of slug flow. The square expansion unit performs better than the triangular and circular ones. With the increase of the length, width, and number of the expansion units, and the width of the constriction between the adjacent expansions, the mass transfer performance shows a non-monotonic variation, that is an initial increase followed by a decrease. The underlying reasons are analyzed by evaluating the mixing inside and outside the droplet and the effective mass transfer area. At the preliminarily optimized geometry, a novel mass transfer path, in which not only the droplet caps but also the droplet body becomes the effective mass transfer area, is observed.

The influence of existing tunnel shape and pillar distance on cross tunnel interaction

ABSTRACT Underground transportation systems often involve multiple tunnels constructed closely together. Previous studies mainly focus on interaction between circular tunnels; by contrast, interaction mechanisms involving non-circular tunnels are not well understood. In this study, four physical three-dimensional centrifuge tests were performed in dry sand, simulating the response of existing circular and horseshoe-shaped tunnels to a newly excavated tunnel. Two different ratios between pillar depth and tunnel diameter (P/D) of 0.5 and 2.0 were considered. Furthermore, three-dimensional numerical back-analyses considering small-strain stiffness were undertaken. Results reveal that the ground settlement above an existing horseshoe-shaped tunnel is less sensitive to pillar depth than for circular ones. Furthermore, for P/D = 0.5, the existing horseshoe-shaped tunnel experiences both vertical and horizontal compression; more stress reduction occurs vertically than horizontally. A circular tunnel for the same pillar depth becomes compressed vertically but elongated horizontally; stress reduction around the existing circular tunnel is less vertically than horizontally. However, for P/D = 2.0, both types of tunnel become elongated vertically and compressed horizontally because of a larger reduction in vertical stresses than horizontal ones. These results demonstrate that both pillar depth and shape profoundly affect tunnel deformation mechanisms.

Scan Time Reduction by Fewer Projections - an Approach for Circular and Spherical Trajectories

For most computed tomography scans a circular or helical trajectory is used to acquire the necessary radiographic projections. However, these standard trajectories are not necessarily the best choice since the shape of the inspected object is not considered which leads to a suboptimal sampling of the part. In contrast, workpiece-specific and more efficient scan strategies hold the potential for time and cost savings. Such adaptions might be of particular interest for future robotic CT systems that allow greater flexibility in the positioning of X-ray tube, object, and detector than conventional setups or multi-source applications with predefined positions by the setup. We propose a scan planning algorithm to adapt the acquisition trajectory considering the shape of the investigated part. For this task, we present an algorithm that is able to identify the projections from a set of projections that contribute most to the reconstruction of the object. As input information, only the localization of the area of interest and projections from the feasible range of motion are necessary. Also, a reasonable amount of projections to pick from needs to be provided, which can originate from an earlier scan or computer simulations that consider the range of motion of the available CT setup. The optimization method has been implemented for circular and spherical trajectories and can be extended towards arbitrary acquisition paths. Since for modern CT systems the duration for the scan itself takes significantly longer than the reconstruction, this approach appears to be well-suited to significantly reduce the throughput time if several identical parts need to be inspected. Additionally, new applications such as inline CT are conceivable and certain artifacts can be suppressed if spherical trajectories are used instead of circular ones. For the subsequent reconstruction itself no previous knowledge of the object is included, i.e. the reconstruction workflow does not need to be modified. We demonstrate the capabilities of the optimization method for two industrial relevant examples and show that a scan time reduction of more than 50 % is feasible for some cases by reducing the number of acquired projections. Furthermore, for all investigated projection numbers and parts the optimized trajectory yields an identical to clearly improved image quality in the reconstructed volume than the reference trajectories.

Bifunctional dual-channel polarization converter based on Weyl semimetal multilayer structure

In this paper, a multilayer structure (MS) of Weyl semimetals (WSMs) is utilized as the foundation for a polarization converter (PCT) having two different functions in two frequency channels. An analysis of the transmission spectrum of this layer structure at varying incident angles and polarization directions is also included. We define the polarization deflection angle ϕ and discuss the structure’s potential as a PCT with respect to the ϕ = 45° scenario. The incident angles were chosen as 0°, 5°, 10°, 15° and 20° for the analysis, and the results reveal that the incident linear polarization waves in the interval of 78.87 ∼ 81.90 THz can be effectively transformed into circular polarization ones for transmission case. While, for electromagnetic waves with frequencies ranging from 67.44 ∼ 72.11 THz, the direction of vibration for the electric field deflects by 45°. This work also provides positive insights into the design of polarization-related isolators, angle selectors, and other optical devices.

A comparison of two numerical models for modeling a twin tunnel in a saturated half-space

In this work an analytical as well as a numerical model are established for computing vibrations induced by a twin tunnel buried in a saturated poroelastic half-space. In the analytical solution the mechanical response for the half-space ground is expressed as a superposition of planar waves from the ground surface and cylindrical waves from two tunnel-soil interfaces. While in the numerical solution, three-dimensional saturated poroelastic finite element and multi-transmitting formula are formulated. The comparisons are made between the two methodologies, and the advantages and disadvantages of the two models are highlighted. Using the analytical one, the influence of the fluid in the soils, the reflection effect of the ground surface and the existence of a neighboring tunnel with or without a source on the mechanical response is investigated. By using the three-dimensional numerical model, the influence of various irregular tunnels on the surface vibration is investigated. The results suggest that: for the displacement and pore pressure response, the difference between one source tunnel and twin source tunnel can be up to 20 dB; the rectangular tunnels lead to the largest response followed by horseshoes and circular ones.

Neutron star – white dwarf binaries: probing formation pathways and natal kicks with LISA

ABSTRACT Neutron star–white dwarf (NS + WD) binaries offer a unique opportunity for studying NS-specific phenomena with gravitational waves. In this paper, we employ the binary population synthesis technique to study the Galactic population of NS + WD binaries with the future Laser Interferometer Space Antenna (LISA). We anticipate approximately $\mathcal {O}(10^2)$ detectable NS + WD binaries by LISA, encompassing both circular and eccentric ones formed via different pathways. Despite the challenge of distinguishing these binaries from more prevalent double white dwarfs (especially at frequencies below 2 mHz), we show that their eccentricity and chirp mass distributions may provide avenues to explore the NS natal kicks and common envelope evolution. Additionally, we investigate the spatial distribution of detectable NS + WD binaries relative to the Galactic plane and discuss prospects for identifying electromagnetic counterparts at radio wavelengths. Our results emphasise LISA’s capability to detect and characterize NS + WD binaries and to offer insights into the properties of the underlying population. Our conclusions carry significant implications for shaping LISA data analysis strategies and future data interpretation.

A Study on Enhancing Sustainability in Circular Supply Chains through Green Innovations

Redefining product and service lifecycles with eco-friendly and sustainable processes, circular supply chains are green breakthroughs. Minimising waste, environmental effect, and resource efficiency are its goals. In a circular supply chain, green innovations can include product design that facilitates recycling or reuse, process improvements that reduce energy consumption and emissions, logistics solutions that optimise transportation for lower carbon footprints, and service innovations that promote sustainability. These green ideas improve supply chain efficiency and competitiveness while helping the environment. Businesses may reconcile economic growth and environmental stewardship by rethinking and rebuilding linear supply models into circular and sustainable ones, paving the way for a more sustainable future. This study examines how green innovations affect circular supply chains in Andhra Pradesh's durable goods industry. It analyses how product, process, logistical, and service green innovation improves supply chain efficiency. The quantitative research uses structured surveys to obtain data from 150 industry professionals and customers. Convenience sampling was used to acquire varied supply chain performance metrics responses. SPSS is used for rigorous regression analysis in the study. This method lets you study how green innovation affects circular supply chain performance. All green innovations improve supply chain efficiency, but green service innovation has the greatest benefit. This research provides strong evidence for green innovations in durable goods industry circular supply networks. The study emphasises ecologically friendly product creation, logistics, service delivery, and process management.

Mixing performance of T-shaped wavy-walled micromixers with embedded obstacles

This research systematically investigates the impact of microchannel geometry on key parameters governing mixing efficiency and cost. The study focuses on passive T-shaped micromixers with modified sinusoidal wavy walls, analyzing a spectrum of configurations ranging from the raccoon to serpentine by varying the wall phase angles. The traditional T-shaped micromixer serves as a foundational reference, and we systematically vary phase angles, amplitudes, and wavelengths of the wavy walls to comprehensively address all possible configurations. Additionally, different shaped obstacles such as circular, square, diamond, and triangular obstacles are strategically introduced to further enhance mixing performance. The findings reveal intricate relationships and dependencies among geometric factors, shedding light on configurations that significantly enhance mixing efficiencies. Notably, a specific wavy micromixer configuration, characterized by a carefully tuned phase difference, amplitude, and wavelength, exhibits the highest mixing index in the absence of obstacles. The introduction of obstacles, particularly circular ones, further enhances mixing efficiency. As Reynolds (Re) and Schmidt (Sc) numbers increase, the mixing index decreases, and the mixing cost rises. This work adds a quantitative dimension to understanding the interplay between geometric parameters, flow conditions, and mixing performance in passive micromixers with systematic wavy walls and embedded obstacles.

Jet Noise and Wing Installation Effects of Circular, Beveled and Rectangular Nozzles

AbstractWith the growth of modern turbofan engines, their integration under the wing becomes challenging and induces aerodynamic and acoustic interactions between the jet exhaust and the airframe. Jet noise reduction techniques have been widely studied over the past decades but their efficiency has still to be demonstrated once installed. The present lab-scale jet experiments at Mach 0.6 compare the noise radiated by beveled and rectangular installed nozzles to circular ones on a quarter-sphere radiation map using a microphone antenna. For all radiation angles, modified nozzles show an amplitude decrease of the jet-plate interaction tones of the noise spectra attributed to a strong coupling between the jet shear layers and the sound scattering at the plate trailing edge. Beveled nozzles achieve a noise reduction for all radiation angles with a maximum decrease up to 2 dB at receiver locations perpendicular to the plate. While rectangular nozzles show a similar behavior, a sound increase is observed for listeners parallel to the plate when the height-to-width ratio is small.

A novel fiber‐reinforced polymer rope: Simulation and theoretical investigation

AbstractThe study proposed using twisted rope made of flexible fiber‐reinforced polymers (FRPs) instead of wire and synthetic ropes in high load‐bearing and corrosive environments. Finite element model verification and parameter analysis were conducted for the rope, along with deriving theoretical equations for its tensile properties. Increasing the lay length improved model accuracy, with a maximum bearing capacity within a 10% margin of error compared to experimental results. The model length had minimal impact on calculation results, while changes in radial mesh size (0.13 and 0.2 mm) and friction coefficient (0–0.2) greatly affected maximum contact stress. The tensile strength and elastic modulus of the strand remained almost constant (approximately 1142 MPa and 44 GPa) when the friction coefficient was altered. Increasing lay length (6D–20D) enhanced the tensile properties of the strand, whereas tendon diameter (1–3 mm) had negligible impact. Arranging inner and outer strands with the same lay length was better for circular ropes than those with the same lay angle. Inverse lay direction reduced rope torque and increased strand contact stress. Rectangular ropes had higher strength and modulus conversion efficiency, with lower contact stress compared to circular ones. The accuracy of rope equations improved with longer lay lengths, and adding a correction factor for lay length can modify the equation.Highlights A flexible FRP rope with high strength and twisted form was proposed. The effect of construction factors on the tensile behaviors of ropes was clarified. Equations for calculating the tensile properties of ropes were derived.

Unique consumption: the impact of busy mindset on preference for angular versus circular shapes

PurposeThe shape of a product plays a crucial role in shaping consumer behavior. Despite the voluminous research on factors influencing consumers’ shape preferences, there remains a limited understanding of how the busy mindset, a mentality increasingly emphasized by marketing campaigns, works. This study aims to fill this gap by exploring the relationship between a busy mindset and the preference for angular-shaped versus circular-shaped products and brand logos.Design/methodology/approachThis research consists of seven experimental studies using various shape stimuli, distinct manipulations of busy mindset, different assessments of shape preference and samples drawn from multiple countries.FindingsThe findings reveal that a busy mindset leads to a preference for angular shapes over circular ones by amplifying the need for uniqueness. In addition, these effects are attenuated when products are scarce.Originality/valueThis research represents one of the pioneering efforts to study the role of a busy mindset on consumers’ aesthetic preferences. Beyond yielding insights for practitioners into visual marketing, this research contributes to the theories on the busy mindset and shape preference.

Hydraulic performance of bottom intake velocity caps using PIV and OpenFOAM methods

The objective of this investigation is to obtain a more profound understanding of the effective parameters of the velocity caps for bottom intake systems, utilizing particle image velocimetry (PIV) and OpenFOAM. Observations indicate a higher probability of surface vortex formation in square types compared to circular ones, with the vortex being formed downstream of the caps. Additionally, the flow pattern reveals that the flow whirls in a more favorable path into the circular caps as opposed to the square ones. Through both experimental and numerical comparisons of three shapes (rhombus, square, and circle), it becomes evident that the circular type outperforms the other types in terms of discharges through the intake, showing an improvement of about 8%. The results indicate that flow depth and height of the velocity caps are positively effective parameters for the flow rate, with respective influences of 90% and 30%. In contrast, the interaction between the flow and caps intensifies with an increase in the distance of the intake opening from the bed, which plays a negative influence on the flow rate. Enhancing the number of blades in caps proves to be the optimal approach for generating a smoother flow with minimal impact on the flow rate. Numerical simulations show a 50% reduction in cap height leads to a significant 33% decrease in flow rate. Additionally, rotating the square cap by 45° into a rhombus aligned with the flow direction results in a 7% discharge flow rate increase.