Motion Of Disk Research Articles

Constrained motion of self-propelling eccentric disks linked by a spring.

It has been supposed that the interplay of elasticity and activity plays a key role in triggering the non-equilibrium behaviors in biological systems. However, the experimental model system is missing to investigate the spatiotemporally dynamical phenomena. Here, a model system of an active chain, where active eccentric-disks are linked by a spring, is designed to study the interplay of activity, elasticity, and friction. Individual active chain exhibits longitudinal and transverse motions; however, it starts to self-rotate when pinning one end and self-beat when clamping one end. In addition, our eccentric-disk model can qualitatively reproduce such behaviors and explain the unusual self-rotation of the first disk around its geometric center. Furthermore, the structure and dynamics of long chains were studied via simulations without steric interactions. It was found that a hairpin conformation emerges in free motion, while in the constrained motions, the rotational and beating frequencies scale with the flexure number (the ratio of self-propelling force to bending rigidity), χ, as ∼(χ)4/3. Scaling analysis suggests that it results from the balance between activity and energy dissipation. Our findings show that topological constraints play a vital role in non-equilibrium synergy behaviors.

Cavitation Onset In Counter-Rotating Vortices From Diverging Disks

Cavitation occurs when the local pressure, induced by high local velocities, drops below the vapor pressure, leading to the formation of vapor bubbles. The subsequent collapse of these bubbles can cause noise, erosion, and vibrations. Recent studies show that cavitation is sensitive to water quality, i.e., the nuclei populations, the chemical composition of water, and the presence of particles. Motivated by investigating the effects of water quality on cavitation, experiments are performed in a dedicated experimental facility. This consists in two co-axial disks that are initially at rest and mutually in contact, in a tank filled with water. The fast diverging movement of the top disk with respect to the bottom one produces a jet flow inside the gap between the disks, which leads to the formation of two counter-rotating vortices. The local pressure drop induced by high flow velocities leads to a phase change. To characterize the phenomenon, two optical techniques are applied, i.e., shadowgraphy and particle image velocimetry (PIV). In performing PIV reconstruction, the sum of correlation enhances the spatial resolution of the velocity vector fields. The pressure field in the region where the vortices occur is obtained from velocity data. The water quality effects on cavitation are investigated by adding salt and using water with an abundance of nuclei inside the tank.

ELEMENTS OF THE THEORY OF DYNAMIC DEVELOPED SUSPENSION MILITARY VEHICLE

The wheel drives of a military vehicle are intended for its movement to satisfy the performance of technological tasks in the zone close to combat, but this requirement is not fully satisfied. This is related to the performance of the above tasks in difficult conditions, in off-road conditions. In order to ensure the mandatory performance and reliability of technological movements in such conditions, construction specialists focused their actions on improving the running gear, especially the suspensions. The article deals with the theoretical research of the design of the developed suspension of a military vehicle. The movement of the car is carried out with the help of wheeled motors, which partially satisfy the performance of technological tasks in the zone close to combat. The main drawback is the fulfillment of the requirements for moving a military vehicle in off-road conditions, and in some cases, the impossibility of moving it. In order to increase the reliability of the technology of moving a car in offroad conditions, the development of world-class specialists is aimed at improving the design of its suspension, as well as the technology of moving it in off-road conditions of a military vehicle, the number of movements of the system, and the movement of the center of mass of this system. The purpose of the study is to improve the technological scheme of loading the wheel drive when it moves the support, the transformation of the energy supplied to the wheel drive and the quantitative movements kinematically distributed in the wheel drive into the controlled relative to the wheel disc movement of the car with the addition of the traction force of the car with the portable forces of quantitative movement, which is an auxiliary factor to the innovative technology of its movement. The scientific and practical direction of the work consists in the fact that for the first time the considered technology in which the law of change of mechanical energy is applied during the rotation of the wheel drive over an obstacle, i.e., the energy supplied to the wheel drive and the quantitative movements kinematically distributed in the wheel drive in the controlled motion of the car relative to the wheel disc with summing up the traction force of the car with the portable forces of the quantitative movement, and this allows us to approach the consideration of the implementation of the torque on the wheel drive more expediently. The methodology of the study was to establish a mathematical relationship between the quantitative movements kinematically distributed in the wheel drive in the car movement controlled relative to the wheel disc and the parameter of quantitative movements, as well as with the dynamic mobility of the car itself. The result of the research is the development of the elements of the theory of quantitative movements kinematically distributed in the wheel drive. When revealing the concept of "dynamically developed suspension", equations were used that mathematically confirm the connection with the quantitative movements kinematically distributed in the wheel drive in the controlled movement of the car relative to the wheel disc, which allows overcoming obstacles on the way and supporting surface in certain conditions of vehicle operation. The value of the conducted research, the results of the conducted work will allow to make a contribution to the automotive industry. The proposed car model is suitable for use in order to increase the ability of vehicles to overcome obstacles.

The radial variation of the LMC-induced reflex motion of the Milky Way disc observed in the stellar halo

ABSTRACT We measure the kinematic signature arising from the Milky Way (MW) disc moving with respect to the outer stellar halo, which is observed as a dipole signal in the kinematics of stellar halo tracers. We quantify how the reflex motion varies as a function of Galactocentric distance, finding that (i) the amplitude of the dipole signal increases as a function of radius, and (ii) the direction moves across the sky. We compare the reflex motion signal against a compilation of published models that follow the MW–LMC interaction. These models show a similar trend of increasing amplitude of the reflex motion as a function of distance, but they do not reproduce the direction of the disc motion with respect to the stellar halo well. We also report mean motions for the stellar halo as a function of distance, finding radial compression in the outer halo and non-zero prograde rotation at all radii. The observed compression signal is also present in MW–LMC models, but the rotation is not, which suggests that the latter is not induced by the LMC. We extensively validate our technique to measure reflex motion against idealized tests. We discuss prospects for directly constraining the mass and orbital history of the LMC through the impact on the motion of the MW stellar disc, and how the modelling of the reflex motion can be improved as more and better data become available.

Numerical simulation of time-dependent viscous fluid flow with upward and downward fluctuation of spinning disk

The parametric approach towards time-dependent viscous fluid flow across a gyrating disk with upward and downward fluctuation. The major goal of this research is to assess fluid flow under the influence of magnetic fields and heat propagation processes. Because they provide a thorough description of electromagnetic interactions. Maxwell's equations are at the heart of all contemporary information and communication technologies. The governing equations comprising Navier Stokes equation, energy, concentration, and Maxwell equations have been represented appropriately for this purpose. The governing equations are turned down to the system of non-linear ODEs through a resemblance framework. The obtained system of differential equations has been resolved via numerical procedure Parametric Continuation Method (PCM). For the scale reliability purpose, the outcomes are compared to another numerical Matlab scheme boundary value solver. In the current analysis, the presence of convective boundary conditions correlated to mass and energy is of physical relevance. The numerical findings are provided in tabular and graphical forms. The consequences of suction and wall injection have been also highlighted. The upward motion of the spinning disc is thought to lead to comparable findings as in an injection scenario, whilst the downhill motion is thought to contribute to wall suction-like effects.

Experimental and numerical study on cavity dynamics during near-water-surface skipping motion of a non-spinning disk

In this paper, we present a comprehensive set of experimental and numerical studies on the near-water-surface skipping motion of three-dimensional, non-spinning disks. Qualitative analyses were conducted on the experimental results to examine the effects of inclination angle on cavity evolution. Additionally, numerical results are utilized to study the impact of the attack angle on hydrodynamic forces and motion characteristics of the disk. Key findings of this study include the following: (1) an asymmetric cavity will be formed during the near-water-surface skipping motion of the disk; (2) two distinct cavity shapes, U-shaped and W-shaped, emerge under varying initial inclination angles; (3) decreasing the inclination angle reduces the angle between the splash and the water surface, improving the possibility of a successful skipping motion; (4) disks with excessively large positive or negative inclination angles tend to dive into the water; (5) an instantaneous significant reduction in inclination angle during impact results in dual peaks of vertical force, with corresponding increases in hydrodynamic forces and pitching moments as the impact angle increases; and (6) disks with extremely small impact angles are prone to overturning and diving into the water.

Study on the biodynamic characteristics and internal vibration behaviors of a seated human body under biomechanical characteristics.

To provide reference and theoretical guidance for establishing human body dynamics models and studying biomechanical vibration behavior, this study aimed to develop and verify a computational model of a three-dimensional seated human body with detailed anatomical structure under complex biomechanical characteristics to investigate dynamic characteristics and internal vibration behaviors of the human body. Fifty modes of a seated human body were extracted by modal method. The intervertebral disc and head motions under uniaxial white noise excitation (between 0 and 20Hz at 1.0, 0.5 and 0.5m/s2 r.m.s. for vertical, fore-aft and lateral direction, respectively) were computed by random response analysis method. It was found that there were many modes of the seated human body in the low-frequency range, and the modes that had a great impact on seated human vibration were mainly distributed below 13Hz. The responses of different positions of the spine varied greatly under the fore-aft and lateral excitation, but the maximum stress was distributed in the lumbar under different excitations, which could explain why drivers were prone to lower back pain after prolonged driving. Moreover, there was a large vibration coupling between the vertical and fore-aft direction of an upright seated human body, while the vibration couplings between the lateral and other directions were very small. Overall, the study could provide new insights into not only the overall dynamic characteristics of the human body, but also the internal local motion and biomechanical characteristics under different excitations.

Research and development of innovative bidirectional control plate valve for reciprocating compressor

Currently, the reciprocating compressor valve operates on a single working principle, where the valve structure relies on the combined force of its own elasticity and gas thrust to drive the movement of the valve disc, and continues to open and close in the way of impact. Due to the defects of the conventional plate valve, such as delayed opening, premature closing, and insufficient full opening time, in combination with the self-acting valve structure and constant volume cylinder where artificial adjustment of compressed air volume is not feasible. Therefore an innovative bidirectional control plate valve has been developed in this study, which employs a linear motor to regulate the valve disc and eliminates structural components such as springs, buffer discs, and valve lift guard. Throughout the entire opening and closing cycle, precise control of the valve disc enables swift operation with prolonged full open state, minimal resistance loss, and absence of impact, vibration or rebound. Its ideal movement mode can directly and accurately achieve stepless capacity regulation. The primary suction valve of the industrial 3LW-5-8 reciprocating compressor is taken as the research subject in this paper. Fluent software is utilized to design the structural parameters of an innovative plate valve, and its feasibility and effectiveness are validated through tests conducted on an automated multi-functional experiment table and an L-type reciprocating compressor. The results demonstrate that the new valve exhibits a 21.52% increase in effective flow area compared to the conventional plate valve, along with a 3.02% increase in exhaust volume and a potential reduction of 2.32% in power consumption when replaced one of the four. Moreover, the innovative bidirectional control plate valve demonstrates precise control over high-frequency motion of the valve disc, effectively addressing inherent limitations of traditional plate valves and exhibiting promising application prospects.

Lab on a bead with oscillatory centrifugal microfluidics for fast and complete mixing enables fast and accurate biomedical assays

Rapid mixing and precise timing are key for accurate biomedical assay measurement, particularly when the result is determined as the rate of a reaction: for example rapid immunoassay in which the amount of captured target is kinetically determined; determination of the concentration of an enzyme or enzyme substrate; or as the final stage in any procedure that involves a capture reagent when an enzyme reaction is used as the indicator. Rapid mixing and precise timing are however difficult to achieve in point-of-care devices designed for small sample volumes and fast time to result. By using centrifugal microfluidics and transposing the reaction surface from a chamber to a single mm-scale bead we demonstrate an elegant and easily manufacturable solution. Reagents (which may be, for example, an enzyme, enzyme substrate, antibody or antigen) are immobilised on the surface of a single small bead (typically 1–2 mm in diameter) contained in a cylindrical reaction chamber subjected to periodically changing rotational accelerations which promote both mixing and uniform mass-transfer to the bead surface. The gradient of Euler force across the chamber resulting from rotational acceleration of the disc, dΩdisc/dt, drives circulation of fluid in the chamber. Oscillation of Euler force by oscillation of rotational acceleration with period, T, less than that of the hydrodynamic relaxation time of the fluid, folds the fluid streamlines. Movement of the bead in response to the fluid and the changing rotational acceleration provides a dynamically changing chamber shape, further folding and expanding the fluid. Bead rotation and translation driven by fluid flow and disc motion give uniformity of reaction over the surface. Critical parameters for mixing and reaction uniformity are the ratio of chamber radius to bead radius, rchamber/rbead, and the product Trchamber(dΩdisc/dt), of oscillation period and Euler force gradient across the fluid. We illustrate application of the concept using the reaction of horse radish peroxidase (HRP) immobilised on the bead surface with its substrate tetramethylbenzidine (TMB) in solution. Acceleration from rest to break a hydrophobic valve provided precise timing for TMB contact with the bead. Solution uniformity from reaction on the surface of the bead in volumes 20–50 uL was obtained in times of 2.5 s or less. Accurate measurement of the amount of surface-bound HRP by model fitting to the measured kinetics of colour development at 10 s intervals is demonstrated.

Effectiveness of horizontal magnetic field in Darcy's flow of viscoelastic fluid over rotatory disk

The present study aims to find the similarity solutions for the thermal transportation of viscoelastic fluid flow produced by the rotatory movement of infinite permeable disk. The resulting momentum equations involved comprising the horizontal magnetized field and Darcy's influences. The energy equation containing the impacts of Ohmic dissipation and frictional heating. The developed model is first normalized by using the von Kármán's substitutions and then the reduced system is solved numerically through Runge–Kutta–Fehlberg (RKF-45) method. The flow and thermal fields are discussed against the various physical parameters. Frictional torque and Nusselt number are also evaluated at the disk surface for selected values of dimensionless parameters. The stabilization influence of magnetic field is achieved along the radial or circumferential directions against the positive values of the inclination direction. For inclination angle near to α=0∘andα=π2, the magnetic field has stabilizing influence. Alternatively in the range of α∈[π3,π6], the magnetic field preserves destabilizing impact on flow phenomenon. The temperature field is enhanced against the increased values of Deborah number and Eckert number. Resistive torque is enhanced by the porosity parameter.

Modal analysis of a submerged elastic disk: A hypersingular integral equation approach

A method based on the hypersingular integral equation approach and the modal analysis is presented to consider the effects of the motion of a submerged elastic disk on the incoming waves. Initially, the governing boundary value problem is reduced to a two-dimensional integral equation with a hypersingular kernel. This integral equation is further reduced to a one-dimensional Fredholm integral equation of the second kind with the help of Fourier series expansions and a newly defined function. As a part of modal analysis, eigenfunction expansion based on natural modes of structural motion is considered to describe the motion of a thin circular elastic disk. Physical quantities, such as hydrodynamic force, added mass, damping coefficient, and surface elevation, are numerically evaluated. The computed numerical results are verified by comparing them with those for the rigid disk horizontally submerged in deep water. Apart from this, as a part of the analytical verification of our present analysis, the reciprocity relation has been included. The effects of different parameters (disk's rigidity, radius, submergence depth, and mode of vibrations) on the aforementioned physical quantities have been studied. The maximum hydrodynamic force occurs around Ka = 0.5, while the maximum added mass and damping coefficient occur around the wavenumber Ka = 0.3 and Ka = 0.5, respectively. The peaks of the hydrodynamic force and free surface elevation become sharper with the increasing values of the disk's size. The numerical results emphasize that the wave focusing can be controlled by changing the submergence depth, size, and rigidity of the disk.

Coronal vertical fracture of vertebral body following minimally invasive lateral lumbar interbody fusion: risk factor analysis in consecutive case series.

To investigate the incidence and risk factors of coronal vertical vertebral body fracture (CV-VBF) during lateral lumbar interbody fusion (LLIF) for degenerative lumbar disease. Clinical data, including age, sex, body mass index, and bone mineral density, were reviewed. Radiological assessments, such as facet joint arthrosis, intervertebral disc motion, index disc height, and cage profiles, were conducted. Posterior instrumentation was performed using either a single or staged procedure after LLIF. Demographic and surgical data were compared between patients with and without VBF. Out of 273 patients (552 levels), 7 (2.6%) experienced CV-VBF. Among the 552 levels, VBF occured in 7 levels (1.3%). All VBF cases developed intraoperatively during LLIF, with no instances caused by cage subsidence during the follow-up period. Sagittal motion in segments adjacent to VBF was smaller than in others (4.6° ± 2.6° versus 6.5° ± 3.9°, P = 0.031). The average grade of facet arthrosis was 2.5 ± 0.7, indicating severe facet arthrosis. All fractures developed due to oblique placement of a trial or cage into the index disc space, leading to a nutcracker effect. These factors were not related to bone quality. CV-VBF after LLIF occurred in 2.6% of patients, accounting for 1.3% of all LLIF levels. A potential risk factor for VBF involves the nutcracker-impinging effect due to the oblique placement of a cage. Thorough preoperative evaluations and surgical procedures are needed to avoid VBF when considering LLIF in patients with less mobile spine.

ALMA reveals a compact and massive molecular outflow driven by the young AGN in a nearby ULIRG

ABSTRACT The ultraluminous infrared galaxy F13451+1232 is an excellent example of a galaxy merger in the early stages of active galactic nucleus (AGN) activity, a phase in which AGN-driven outflows are expected to be particularly important. However, previous observations have determined that the mass outflow rates of the warm ionized and neutral gas phases in F13451+1232 are relatively modest, and there has been no robust detection of molecular outflows. Using high-spatial resolution Atacama Large Millimeter/submillimeter Array CO(1–0) observations, we detect a kiloparsec-scale circumnuclear disc, as well as extended (r ∼ 440 pc), intermediate-velocity (300 < |v| < 400 km s−1) cold molecular gas emission that cannot be explained by rotational disc motions. If interpreted as AGN-driven outflows, the mass outflow rates associated with this intermediate-velocity gas are relatively modest ($\dot{M}_\mathrm{out}=22$–27 M⊙ yr−1); however, we also detect a compact (rout < 120 pc), high-velocity (400 < v < 680 km s−1) cold molecular outflow near the primary nucleus of F13451+1232, which carries an order of magnitude more mass ($\dot{M}_\mathrm{out}$ ∼ 230 M⊙ yr−1) than (and several times the kinetic power of) the previously detected warmer phases. Moreover, the similar spatial scales of this compact outflow and the radio structure indicate that it is likely accelerated by the small-scale (r ∼ 130 pc) AGN jet in the primary nucleus of F13451+1232. Considering the compactness of the nuclear outflow and intermediate-velocity non-rotating gas that we detect, we argue that high-spatial resolution observations are necessary to properly quantify the properties of AGN-driven outflows and their impacts on host galaxies.

Analysis of disc movement during the closing process of axial flow check valves

In a long-distance pipeline system, when the pump is stopped, the axial flow check valve will suddenly close under the pressure difference force of the medium, and the instantaneous valve disc will collide and impact the valve seat at a certain speed, which will have a certain impact on the structural strength and service life of the check valve. This article uses explicit dynamics to simulate the movement process of the instantaneous valve disc when it is completely closed and analyzes the velocity of the valve disc after the collision. Based on the spring damping model theory, the velocity of the valve disc after collision is derived. After error analysis, the reliability of numerical simulation has been verified, which has a certain guiding significance for the practical application and design improvement of axial flow check valves.

Effect of chevron-shaped wetting patterns on oil film thickness in cylinder-on-disc contact under starved lubrication or limited lubricant supply

This study addresses the oil starvation problem in roller bearing line contacts and proposes a novel Chevron-shaped wetting/oleophilic pattern on the bearing track to enhance oil replenishment. Validation through optical cylinder-on-disc lubrication film tests reveals the impact of the pattern on inlet oil supply and film thickness. Notably, a Chevron pattern oriented opposite to disc movement significantly increases film thickness. Wetting is more pronounced in oleophilic areas (Chevron pattern), forming an inverted V-shaped "virtual wall" that directs lubricant backflow toward the center and reduces side leakage. A pattern length equal to the bearing track width was found to be more effective compared to smaller sizes, as the oil side ridges are located on the oleophobic and oleophilic boundaries, which capitalizes the wettability step effect more effectively. This research provides a basis for designing oleophobic surfaces with improved anti-wear and anti-friction properties.

Numerical investigation of skipping stones using a hybrid volume of fluids and boundary data immersion method

Water skipping is a common physical phenomenon that represents a complex multiphase fluid–structure coupling problem involving a gas, liquid, and solid. This phenomenon is observed in various scenarios, such as seaplane landings, the entry and exit of amphibious aircraft on water surfaces, and even the slamming of a ship bow, all of which involve intricate water skipping dynamics. Therefore, skipping dynamics hold significant research value and offer broad practical applications. In this paper, a numerical method involving the volume of fluid method and boundary data immersion method is presented to study the fluid–structure interaction of a disk undergoing water skipping. Moreover, the six degrees of freedom motion of the rigid disk is described by unit quaternions. We validated the accuracy of our numerical method through comparisons with the experimental data. The results show good agreement on the disk's trajectory and cavity evolution. Furthermore, we studied the influence of the rotational angular velocity on the disk's trajectory, velocity, acceleration, hydrodynamic force, and cavity dynamics. As the angular velocity increases, the disk undergoes shorter collision durations with the water, diminished alterations in the azimuth angles, faster exit velocities, and faster velocity attenuations.

Two modes of motions for a single disk on the vibration stage

The motion of a single granular particle is important for understanding their collective motions on vibration stage, but it remains poorly studied for simple shaped particles, such as a disk. Here, we systematically measure the motions of a single disk with different vibration amplitudes A at a fixed vibration frequency f or a fixed acceleration a. The distributions, time-correlations, and power spectra of displacements per step, mean squared displacements and couplings for translational and rotational motions are measured. These analyses reveal that the motions randomly switch between active and inactive modes. Both a and f are important to particle’s motions and the fraction of active mode. The translational and rotational kinetic energy deviates from Boltzmann distribution and violates the equipartition theorem in each mode. We find three types of motion: rolling, lying flat, and fluttering, which give rise to active and inactive modes. The translational and rotational mean squared displacements, autocorrelations, and power spectra at different a collapse in active modes, because the disk rolls along its rim with a fixed inclination angle though our system is under vibration and confinement. The nonzero cross-correlations between particle’s translational and rotational motions indicate that only translational motions are insufficient for understanding dense particle systems.

Position error-free control of magnetic domain-wall devices via spin-orbit torque modulation

Magnetic domain-wall devices such as racetrack memory and domain-wall shift registers facilitate massive data storage as hard disk drives with low power portability as flash memory devices. The key issue to be addressed is how perfectly the domain-wall motion can be controlled without deformation, as it can replace the mechanical motion of hard disk drives. However, such domain-wall motion in real media is subject to the stochasticity of thermal agitation with quenched disorders, resulting in severe deformations with pinning and tilting. To sort out the problem, we propose and demonstrate a new concept of domain-wall control with a position error-free scheme. The primary idea involves spatial modulation of the spin-orbit torque along nanotrack devices, where the boundary of modulation possesses broken inversion symmetry. In this work, by showing the unidirectional motion of domain wall with position-error free manner, we provide an important missing piece in magnetic domain-wall device development.

Numerical calculation of unsteady MHD nanofluid flow across two fluctuating discs with chemical reaction and zero mass flux

AbstractThe fluid flow across spinning discs has several applications in different fields of engineering such as flywheels, gas turbine engines, brakes, and gears. The significance of heat source, Hall current, and magnetic field on the nanofluid flow between two spinning disks is studied in the present analysis. The upper disk spins as well as rotates, which generates the 3D flow. The evaluation and modeling of the mass density, flow motion, and energy transfer are performed using a system of partial differential equations (PDEs). The computational technique parametric continuation method (PCM) is employed to solve the modeled equations. The outcomes are relatively compared to the published literature for validity purposes. It has been noticed that during the downward motion of the upper disc, the effect of the magnetic field declines, while the influence of the hall current improves the velocity field. The temperature field rises with the ascending motion of the upper disk, whereas it shrinks with the downhill oscillation. Moreover, the mass diffusion ratio develops with the impact of hall current, while lessens with the influence of chemical reaction.

Experimental and numerical investigation on dynamic characteristic of nozzle check valve and fluid-valve transient interaction

Check valves play an important role in multiple systems within nuclear power plants. This study focuses on the valve closing process and investigates the dynamic characteristics, valve disc motion, and flow field of a nozzle check valve under different spring stiffness and fluid deceleration rates using experimental and numerical simulation methods. Experimental tests were conducted on a DN300 annular disc-type nozzle check valve with a spring stiffness of 3000 N/m, and the dynamic characteristic curve of the check valve was obtained. The curve exhibits a small maximum slope (0.0454), indicating good dynamic performance of the check valve. Numerical simulations were performed using the dynamic mesh method and RNG k-ε turbulence model to study the effects of different spring stiffness and fluid deceleration rates on the maximum reverse flow velocity, disc motion process, disc impact velocity, and internal flow field of the valve. The maximum reverse flow velocity was also corrected, and the resulting dynamic characteristic curve agrees well with experimental values. This study analyzes the influence of spring stiffness and fluid deceleration rate on various parameters during the dynamic closing process of the check valve. This study contributes to the optimization design of check valves and provides guidance for more accurate calculation of the dynamic characteristic curve of check valves through numerical simulations.