Constant Profile Research Articles

On the singular position-dependent mass

Abstract Revisiting the issue associated with Position-Dependent Mass (PDM), we reaffirm that the appropriate framework for addressing a generic PDM is the symmetrization proposed by BenDaniel and Duke. To accomplish this result adopts the effective mass Hamiltonian proposed by von Roos, corrected by a symmetrized kinematic term. After verifying the appropriate ordering to approach the PDM issue, one investigates a crystalline lattice with a defect described by a singular PDM. The singular mass profile proves intriguing as it yields an atom’s cluster in the neighborhood of the singularity. Considering that a restoring force acts on the atoms, one notes that the confluent Heun function describes the quantum states. Furthermore, one highlights that when the effective mass distribution tends to a constant profile, we recover a system similar to the harmonic oscillator.

Antimicrobial activity and cytotoxic and epigenetic effects of tannic acid-loaded chitosan nanoparticles

Tannic acid (TA) is a potent antitumor agent, but its low bioavailability and absorption limit its use. In this study, it was loaded into chitosan-based nanoparticles (Chi-NPs) to overcome these limitations and to improve its antimicrobial and anticancer activities. TA-loaded Chi-NPs (Chi-TA-NPs) were synthesized using the ionic gelation method and physicochemically characterized by FE-SEM, FTIR, XRD, PDI, DLS, and zeta potential analysis. Additionally, the antimicrobial activity of Chi-TA-NPs against two G+ bacterial strains, two G− bacterial strains, and a fungal strain (Candida albicans) was investigated using the microbroth dilution method. MTT assay was used to examine the cytotoxic effects of Chi-TA-NPs on HepG2 cells. The expression of DNA methyltransferase 1 (DNMT1), DNMT3A, and DNMT3B was examined in HepG2 cells using RT-qPCR. The amount of 5-methylcytosine in the HepG2 cell-derived genomic DNA was measured using ELISA. FE-SEM micrographs showed the loading of TA into the chitosan-based formulation. The peaks detected in the XRD and FTIR analyses confirmed the formation of the Chi-TA-NPs. The PDI value (0.247 ± 0.03), size (567.0 ± 25.84 nm), and zeta potential (17.0 ± 5.86 mV) confirmed the relative stability of Chi-TA-NPs. A constant release profile in line with the Korsmeyer-Peppas model was detected for Chi-TA-NPs, such that approximately 44% of TA was released after 300 min. In addition, Chi-TA-NPs exhibited effective antimicrobial activity against the studied microbial strains, as manifested by MIC values ranging from 250 to 1000 µg/mL. Chi-TA-NPs induced cytotoxicity in liver tumor cell line, with an IC50 value of 500 µg/mL. Furthermore, Chi-TA-NPs considerably decreased the expression of DNMT1 (2.52-fold; p = 0.01), DNMT3A (2.96-fold; p = 0.004), and DNMT3B (2.94-fold; p < 0.0001). However, 5-methylcytosine levels in HepG2 cells were unaffected by Chi-TA-NPs treatment (p = 0.62). Finally, the antimicrobial, cytotoxic, and epigenetic effects of Chi-TA-NPs were more pronounced than those of free TA and the unloaded Chi-NPs. In conclusion, Chi-TA-NPs exhibit promising potential for reducing microbial growth and promoting cytotoxicity in liver cancer cells.

A New Hybrid Energy Storage System for Electric Vehicle Drive System

In this paper, a new Hybrid Energy Storage System (HESS) for Electric Vehicle (EV) drive systems is proposed to increase their battery lifespan, with the potential to meet peak power demands without heavily straining the batteries. The developed feedback control circuit works as a controller to maintain the voltage of the Supercapacitor (SC) at a value higher than the battery voltage during the high acceleration periods of the driving cycle, creating a relatively constant load profile for the battery. The battery is not used to directly harvest energy from the regenerative braking, being, thus, isolated from frequent charges during high acceleration/deceleration periods, which increases its lifespan. The simulation results demonstrate HESS's effectiveness in significantly reducing battery discharge/charge rates compared to a standalone system.

A systematic approach for synthesizing 3D-printable all-dielectric devices

We present a systematic approach for synthesizing 3D-printable all-dielectric devices. Inverse design approaches yield, in many cases, configurations with a continuous range of dielectric constant values. However, 3D printer resins usually provide a very limited set of such values; commonly, a single resin and air are the only available materials. We propose a methodology for transforming a device with a continuous range of material properties to a manufacturable one, while preserving the device’s performance as close as possible to the continuous case. We develop an algorithm that takes the continuous range of dielectric constant profile as input and generates a binary and connected device that can be 3D-printed using a single resin. Our methodology advances state-of-the-art algorithms by using manufacturable configurations of prescribed local air/resin composition to realize each designed dielectric material instead of being limited to a predetermined shape. The additional degrees of freedom provided by our approach may be particularly useful in devices of conformal complex-shaped dielectric constant profiles. We demonstrate the proposed methodology by designing a 3D-printable wide-angle refraction metagrating with performance very close to the inversely designed device of a continuous dielectric constant profile. The approach can be adapted to accommodate three-dimensional devices and other applications.

Euclid: The rb−M* relation as a function of redshift

Core ellipticals, which are massive early-type galaxies with almost constant inner surface brightness profiles, are the result of dry mergers. During these events, a binary black hole (BBH) is formed, destroying the original cuspy central regions of the merging objects and scattering stars that are not on tangential orbits. The size of the emerging core correlates with the mass of the finally merged black hole (BH). Therefore, the determination of the size of the core of massive early-type galaxies provides key insights not only into the mass of the black hole, but also into the origin and evolution of these objects. In this work, we report the first Euclid-based dynamical mass determination of a supermassive black hole (SMBH). To this end, we study the center of NGC 1272, the second most luminous elliptical galaxy in the Perseus cluster, combining the Euclid Visible Camera (VIS) photometry coming from the Early Release Observations (EROs) of the Perseus cluster with the Visible Integral-field Replicable Unit Spectrograph (VIRUS) spectroscopic observations at the Hobby-Eberly Telescope (HET). The core of NGC 1272 is detected on the Euclid VIS image. Its size is 1.​​″29 ± 0.​​″07 or 0.45 kpc, which was determined by fitting PSF-convolved core-Sérsic and Nuker-law functions. We deproject the surface brightness profile of the galaxy, finding that the galaxy is axisymmetric and nearly spherical. The two-dimensional stellar kinematics of the galaxy is measured from the VIRUS spectra by deriving optimally regularized non-parametric line-of-sight velocity distributions. Dynamical models of the galaxy are constructed using our axisymmetric and triaxial Schwarzschild codes. We measure a BH mass of (5 ± 3)×109 M⊙, which is in line with the expectation from the MBH − rb correlation, but is eight times larger than predicted by the MBH − σ correlation (at 1.8σ significance). The core size, rather than the velocity dispersion, allows one to select galaxies harboring the most massive BHs. The spatial resolution, wide area coverage, and depth of the Euclid (Wide and Deep) surveys allow us to find cores of passive galaxies that are larger than 2 kpc at a redshift of up to 1.

Monitoring the changes in UHT whole milk during storage under dynamic and constant temperature profiles

Monitoring the changes in UHT whole milk during storage under dynamic and constant temperature profiles

Impact of source (drain) doping profiles and channel doping level on self-heating effect in FinFET

In this work the impact of the doping profile in the source and drain areas on the self-heating effect in SOI FinFET is simulated at different doping levels in the channel. Constant profile as well as two types of analytical profiles are considered. The impact of the doping profile on the threshold voltage and on the ratio Ion/Ioff at different doping levels of the channel is also considered. To consider the self-heating effect the thermodynamic transport model in TCAD Sentaurus software is used for simulation. The results of simulation show that self-heating effect, threshold voltage, and Ion/Ioff ratio considerably depend on the doping profile in source and drain areas.

Impact of harvest maturity and storage conditions on tomato quality: A comprehensive experimental and modeling study

The study was applied to fresh tomatoes (Solanum lycopersicum, Marbone variety). First, a field survey was conducted to obtain statistical data on the temperature and duration (minimum, mode, maximum) at different stages in the supply chain. Then, the physicochemical, phytochemical and volatile compounds were measured at harvest and on five different days (3, 7, 11, 14 and 21 days) for two maturity stages at harvest (green-orange and light red) and under three storage temperatures (3 °C, 8 °C and 15 °C). These data were used to evaluate the combined impact of harvest maturity, time and storage temperature on the evolution of the different compounds. From the same data, quality models were developed based on the Arrhenius equation to describe the tomato quality evolution under different storage temperatures for (Z)-3 hexenal, total sum of acids, lycopene and chlorogenic acid. These compounds were chosen because of their relation to commercial and nutritional qualities. The model results were validated using additional data from a different study conducted on one constant temperature profile and two dynamic time-temperature profiles as in a supply chain. Finally, data from the field survey and the quality models were combined in a Monte Carlo process (105 product items) to simulate the variability of time-temperature profiles from the grower to the sales outlet and its impact on the quality attributes. For two maturity stages at harvest, the impact of the supply chain on the quality attributes of tomatoes at the sales outlet was also analyzed. Simulation results show that the maturity stage at harvest significantly impacts the final lycopene content and the total sum of acids in tomatoes at the sales outlet, with fruit harvested at the light red stage containing higher lycopene levels (and a lower hue angle) and a lower total sum of acids in comparison with fruit harvested at the green-orange stage. However, at the sales outlet, the concentrations of chlorogenic acid and (Z)-3-hexenal in fruit harvested at the green-orange and light red stages are similar. This information would be useful for fruit and vegetable stakeholders for time-temperature management of tomato fruit throughout the supply chain in order to optimally preserve the main quality attributes.

Detection of extended gamma-ray emission in the vicinity of Cl Danks 1 and 2

ABSTRACT We report the detection of high-energy gamma-ray emission towards the G305 star-forming region. Using almost 15 yr of observation data from Fermi Large Area Telescope, we detected an extended gamma-ray source in this region with a significance of $\sim 13 \sigma$. The gamma-ray radiation reveals a clear pion-bump feature and can be fitted with the power-law parent proton spectrum with an index of $-2.5$. The total cosmic ray (CR) proton energy in the gamma-ray production region is estimated to be of the order of $10^{49}\ \rm erg$. We further derived the CR radial distribution from both the gamma-ray emission and gas distribution and found it roughly obeys the $1/r$ type profile, though a constant profile is not ruled out. This is consistent with other similar systems and expected from the continuous injection of CRs by the central powerful young massive star cluster Danks 1 or Danks 2 in this region. Together with former detections of similar gamma-ray structures, such as Cygnus cocoon, Westerlund 1, Westerlund 2, NGC 3603, and W40, the detection supports the hypothesis that young massive star clusters are CR accelerators.

Development of near-optimal advanced control sequences for chiller plants with water-side economizers in U.S. Climates (ASHRAE RP-1661)

Various advanced control sequences for chiller plants with water-side economizers (WSE) have been proposed in literature, but the evaluation and optimization of those controls is limited. It is possible to maximize energy savings by selecting different sequences and related parameters based on the plant configuration, load, and climate. This paper addresses this gap by developing near-optimal advanced control sequences for chiller plants with WSEs. First, advanced control sequences for chiller plants with WSEs are categorized into condenser water, chilled water, and hybrid controls and representative sequences from each category are identified. Next, 504 different scenarios are optimized. These scenarios represent all possible combinations of two plant configurations, a constant or variable load profile, three advanced control sequences, and seven optimization parameter combinations in six climate zones. The results show the recommended near-optimal sequences can reduce energy consumption by up to 15% relative to the baseline depending on the configuration, load profile, and climate. Specifically, the CW-CHW sequence is recommended for the majority of systems because it is often the most energy efficient and/or reduces the runtime of chillers. The methodology in this paper provides practical guidance for achieving energy savings through near-optimal control of chiller plants with WSEs.

Towards a multi-VOC emission reference material with temporally constant emission profile for QA/QC of materials emission testing procedures

Emission reference materials (ERMs) are sought after to further control and improve indoor air quality. The impregnation of porous materials with volatile organic compounds (VOCs) is a promising approach to produce ERMs. Different VOCs were used to impregnate various porous materials (mainly zeolites, activated carbons and a metal organic framework). The influence of different methodological parameters and material properties were studied to optimize the impregnation procedure and to find the best material/VOC combination. The impregnation procedure remains quite irreproducible, nevertheless, very good ERM candidates were identified. Two materials (zeolite 4 and AC 1 impregnated with n-hexadecane) showed a very stable emission over 14 days (<10 % change). Another material (AC 1 impregnated with toluene) showed a declining emission profile but with a very good in-batch reproducibility and a storage stability of up to 12 months.

Critical diameter for a single-tank molten salt storage – Parametric study on structural tank design

Molten salt thermal energy storage (TES) is a cost-effective option for grid-connected storage in both concentrating solar power (CSP) plants and retrofitted thermal power plants in a multimegawatt scale. Current systems use two tanks (hot and cold), but future systems may use a single tank with a transient temperature profile (hot in the top and cold in the bottom) to reduce costs and space. However, the structural and mechanical design of large-scale molten salt single-tank storages at 560 °C has not been fully explored, and the impact of increasing the operating temperature to 620 °C is still uncertain. The challenge presented by a single tank is the existence of a temperature profile that results in a varying thermal expansion of the tank shell along its height. In the case of larger tanks, this discrepancy can reach a magnitude of centimeters, which in turn gives rise to bending moments. To the best of our knowledge, this study addresses the issue of bending stresses in large-sized high-temperature tanks with thermal stratification for the first time. The modelling approach is applied to single-tank CSP TES systems as a case study to evaluate the constraints imposed by tank size and wall thickness.With the help of experimentally validated numerical methods, it is revealed that a low thermocline thickness can be a limiting factor for large tank diameters. It is shown that the temperature has a major influence on maximum possible tank size: if the operating temperature is raised from 560 °C to 620 °C, the permitted tank diameter is significantly reduced when using the same tank wall material. A possible approach is to use a more heat resistant steel for 620 °C. Results of the parametric study show that designing a single tank below a critical diameter only requires a moderate increase of the wall thickness compared to the two-tank system with constant temperature profiles. Based on this parametric study a formula for the critical tank diameter is developed and presented in this work. The paper concludes with recommendations on how increased wall stresses can be addressed by an appropriate design.

Flattop axial Bessel beam propagation with analytical form of the phase retardation function

This work focuses on a novel, to the best of our knowledge, analytical form of the phase retardation function for achieving a uniform axial intensity of Bessel beams. Traditional methods of generating Bessel beams often result in significant oscillations in the intensity along the beam’s axial path, which limits their practical applications. However, the proposed phase retardation function in this study overcomes these limitations by ensuring consistent beam creation regardless of factors such as the beam waist size, wavelength, or axicon angle. By implementing the proposed spatial phase function, a fundamental Gaussian laser beam, thereby generating a Bessel beam with an elongated and constant axial intensity profile, supports our theoretical predictions. The functionality of this new phase retardation function was further scrutinized using different wavelengths and beam waist sizes to confirm that the axial intensity remained uniform profile. Additionally, when contrasting our phase function with those from earlier researches, it was observed that our findings are consistent with both theoretical models and experimental outcomes.

Rapid assessment of seismic performance of large monopile-supported offshore wind turbines under scour

This study focuses on investigating the seismic performance of a reference 15 MW offshore wind turbine (OWT) supported by a large-diameter monopile, under various scour conditions. Fully coupled nonlinear finite element models considering 3D soil continuum for seismic response analysis of monopile-supported OWTs are very complicated and computationally expensive. Therefore, it is important to have good insight on the dynamic behaviour of monopile-supported OWTs subjected to earthquake excitations before performing high-fidelity fully nonlinear 3D simulations, which will not generally be practical in cases considering various seismic loading and scouring scenarios. The purpose of this study is to provide a fast and efficient tool to understand the interaction between the seismic behaviour of emerging large-capacity OWTs when scour erosion affects the dynamic properties of the structure. The dynamic stiffness method (DSM) is applied for the free vibration analysis of the structure. Modal superposition is used to calculate the seismic responses of the OWT by using the exact mode shapes obtained from the dynamic stiffness formulations. The rotor-nacelle-assembly (RNA) is idealized as a lumped mass at the tower top. The tower and monopile are modelled as Timoshenko beam-columns under axial compressive loading. The soil-structure interaction (SSI) is modelled using the Winkler framework, whereby the soil contribution is assumed as elastic to take advantage of the modal superposition method. Two different approaches are considered for the soil stiffness; a constant profile, and a linearly-varying subgrade modulus along the embedded depth of the pile, and both are appraised in this paper. Firstly, natural frequencies obtained from dynamic stiffness formulations are validated using experimental data from literature for the case of controlled dynamic SSI experiments, and for operating OWTs. Additionally, the natural frequency provided by a technical document for the reference 15 MW OWT is compared to the result from the DSM, where a very good agreement is observed. The seismic response time-histories of the OWT model are obtained under different input earthquake conditions, and subsequently verified by comparison with the results of finite element simulations. The effects of different scour scenarios and foundation modelling approaches on the free vibration and seismic responses are subsequently investigated. A parametric analysis is also performed using different soil properties to observe the interaction between the soil stiffness, scour condition, and seismic response. Finally, the influence of the frequency content of seismic records on the dynamic response of the OWT, specifically the tower top acceleration, the mudline rotation, and the mudline stress, is investigated considering various scour scenarios. The specific numerical case study undertaken for a reference 15 MW OWT, which is supported by a large monopile in very dense sand, shows that the seismic responses are very limited and that the elastic soil behaviour assumption is reasonable. Additionally, considering the computational efficiency, the proposed combination of DSM and modal superposition can be used for rapid seismic performance assessment of large diameter monopile-supported OWTs at the preliminary design stage to gain insight to the global dynamic response of the whole vibrating system.

Core-shell electrospun polycaprolactone nanofibers, loaded with rifampicin and coated with silver nanoparticles, for tissue engineering applications

In the field of tissue engineering, the use of core-shell fibers represents an advantageous approach to protect and finely tune the release of bioactive compounds with the aim to regulate their efficacy. In this work, core-shell electrospun polycaprolactone nanofiber-based membranes, loaded with rifampicin and coated with silver nanoparticles, were developed and characterized. The membranes are composed by randomly oriented nanofibers with a homogeneous diameter, as demonstrated by scanning electron microscopy (SEM). An air-plasma treatment was applied to increase the hydrophilicity of the membranes as confirmed by contact angle measurements. The rifampicin release from untreated and air-plasma treated membranes, evaluated by UV spectrophotometry, displayed a similar and constant over-time release profile, demonstrating that the air-plasma treatment does not degrade the rifampicin, loaded in the core region of the nanofibers. The presence and the distribution of silver nanoparticles on the nanofiber surface were investigated by SEM and Energy Dispersive Spectroscopy. Moreover, SEM imaging demonstrated that the produced membranes possess a good stability over time, in terms of structure maintenance. The developed membranes showed a good biocompatibility towards murine fibroblasts, human osteosarcoma cells and urotheliocytes, reveling the absence of cytotoxic effects. Moreover, doble-functionalized membranes inhibit the growth of E. coli and S. aureus. Thanks to the possibilities offered by the coaxial electrospinning, the membranes here proposed are promising for several tissue engineering applications.

Approaches to substantiating the placement of industrial facilities within the sanitary protection zones of surface watercourses

Introduction. The article considers an approach to be used to delineate the source water protection area for the surface water bodies without putting manufacturing plants within the delineated areas out of action. The approach is based on the assessment of the disposals produced by plants on the water quality at the surface water intake point during the plant’s accident-free operation and both accidents within and beyond the design basis. Materials and methods. The article used the water protection area laws and regulations, the data observed of the disposal dispersion in the large rivers, and the original articles presented in databases and information systems: RSCI, CyberLeninka, Scopus, Web of Science. The solute transport analytical solutions for the dilution of the linear source in the flow serve as the methodological framework. Results. The article results have shown the local disposal into the river to form dispersion halo. Due to the specific dispersion processes, an area of a strip-like shape on the opposite shore can be formed where an anthropogenic influence is not present or negligible. This can be considered the background for the safe cooperative operation of the water intake and a manufacturing plant located within the water protection area. Limitations. The present article outlines the analytical approach for estimating the dilution of wastewater in river waters. The methodologies proposed are subject to several constraints, including the assumption of a constant river channel width and profile, steady discharge of contaminated wastewater, absence of water inflow losses or replenishment, lack of interaction with suspended particulate matter, uniform mixing across all segments of the river, and neglect of wind-induced effects on pollutant dispersion near the water surface. Failure to meet any of these assumptions necessitates recourse to more sophisticated numerical modelling techniques for accurate calculation. Conclusion. The use of the approach presented in the paper allows justifying the manufacturing plant’s operation within the source water protection area for the surface water bodies.

Kinetic insights into energy-saving and low-carbon reactive distillation processes for the transesterification to dimethyl carbonate

The transesterification of propylene carbonate (PC) or ethylene carbonate (EC) to dimethyl carbonate (DMC) by using catalytic reactive distillation (RD) is a promising approach for carbon dioxide utilization. However, there is still scarcity of comprehensive comparison between the two RD processes. Hence, using the UNIQUAC model and kinetics calibrated by literature and our experiments, we conduct an extensive comparison of the two RD processes. Based on the kinetic insights, laboratory RD processes for both reactions are modeled, analyzed, and experimentally validated. Consequently, two RD processes designed to produce 60 ktpy of DMC are optimized and compared. The interplay and control factors between reaction and separation are elucidated and clarified via investigating variations of the actual chemical equilibrium constant profile compared with theoretical values along the reactive section at various pressures, liquid holdups, etc. The results reveal that the optimized EC RD process achieves almost 50 % reductions in both total annual cost and carbon dioxide emission compared to the PC RD process. This work facilitates the carbon neutrality and provides an essential guide for quantitatively assessing the two routes.

Electrical conductivity profiling for rapid contamination assessment in unsaturated zones: A case study of an MSW landfill

This study investigates the potential of using bulk soil electrical conductivity (ECbulk) to predict pore water conductivity (ECpw) for assessing the contamination in the unsaturated zone of an old municipal solid waste (MSW) landfill. ECbulk, ECpw, and water content were evaluated with depth at an old MSW landfill in Bhalswa, Delhi, using the Hydraulic Profiling Tool (HPT) and a dual tube soil sampling system. This data was also supplemented by a cone penetration test (CPTu) for high-resolution soil type identification. The correlation of ECbulk with ECpw was primarily influenced by volumetric water content and mineral conductivity with the latter being negligible at this site due to the high conductivity of the leachate. A reasonable linear correlation between normalized EC (ECbulk/ECpw) was observed with volumetric water content, except at low water contents. ECbulk and ECpw profiles with depth indicated attenuation of contaminants in clay layers, while sand layers exhibited constant profile with depth. ECpw was contributed by macro ions generally found in the leachate, including Na+, Mg2+, K+, Ca2+, NH4+, Cl−, SO42−, and HCO3−, as demonstrated by a strong correlation with their cumulative ionic strength. The results indicate that ECbulk profile can be used as a rapid semi-quantitative method for assessing contaminant migration in the unsaturated soil zone, supporting the remediation or control strategies at old landfills.

Spray-coated PDA-wrapped carboxylic CNT/PES membrane to augment fouling mitigation, organic removal, and membrane stability in electrochemical membrane filtration

This study introduces robust and conductive polydopamine (PDA)-wrapped carboxylic carbon nanotube (C-CNT)-coated polyethersulfone (PES) membrane for electrochemical membrane filtration to treat greywater. Self-polymerized dopamine was prepared directly under oxidative conditions on the CNT strands, followed by their immobilizations on the surface of the PES membrane through a novel spray-coating technique. The spraying coating technique improved both the durability of the coating layer and membrane permeability by 27 % higher than that prepared by the conventional vacuum filtration method. The spraying coating technique enhanced the electroactive properties of the PDA/C-CNT membrane so that the fouling rate was reduced more effectively than the C-CNT membrane or bare PES membrane. Fouling mitigation of the PDA/C-CNT membrane was attributed to the combined effect of electrostatic repulsions between the foulants and the conductive membrane surface along with degradation of organic compounds by electrochemical oxidation. The constant current density profile also confirmed the structural stability of the conductive layer on the membrane under both cathodic and anodic conditions. Furthermore, the fouling layer formed by membrane filtration was removed effectively by in-situ anodic cleaning. Over 80% of water permeability was recovered without losing the membrane integrity up to 3 consecutive anodic cleaning cycles.

Morphological response of gravel bed rivers near a knickpoint: Effect of bars on dynamic equilibrium river profile

AbstractGeomorphological evolution is one of the main factors that increases flood damage in small or medium rivers located in upstream river reaches. These types of flood damage have been increasing at knickpoints where the riverbed slope and river width change abruptly and are likely to cause non‐equilibrium conditions for sediment transport during floods. Therefore, it is important to understand the non‐equilibrium morphological response at the knickpoint and the resulting new dynamic equilibrium state under given external forces. The effects of two‐dimensional (2D) morphological features on the dynamic equilibrium riverbed profile, however, have not been specifically studied because the methods currently in use for calculating equilibrium profiles are based on zero‐ or one‐dimensional (0D or 1D) modeling. Here, we perform numerical calculations using the 2D morphodynamic model iRIC‐Nays2DH to clarify the dynamic equilibrium profile and the process of reaching a dynamic equilibrium state. We also use an existing 1D model to show the 2D effect in the dynamic equilibrium state. To understand this, we set up three channels: slope transition point, width transition point, and both the slope and width transition point. 1D results show a constant slope profile in channels with constant width and upward‐convex profiles in channels with width expansion at the equilibrium state, owing to the adjustment of the difference in sediment transport volume in the two reaches with different widths by changing the slopes. In contrast, the 2D results show that the alternate bars create a small autogenic knickpoint even in the straight channel and significantly dampen sediment deposition at the width expansion point, as seen in the 1D model result. This was because the bars' shape increased the volume of sediment transport because the shape of the bars concentrated flow. These results suggest that 2D morphological features, such as fluvial bars, play a significant role in the equilibrium riverbed profile.