{"title":"Applying surface tension as pressure boundary condition in free surface flow analysis by moving particle simulation method","authors":"Hiroki Tsujimura, Kenichi Kubota, Tetsuya Sato","doi":"10.1007/s40571-023-00575-0","DOIUrl":"10.1007/s40571-023-00575-0","url":null,"abstract":"<div><p>A model that introduces surface tension as a pressure boundary condition, named the surface tension as pressure (STP) model, was developed for free surface flow analyses by the moving particle simulation (MPS) method. The STP model assigns to surface particles the liquid pressure of Laplace’s formula. The model is an alternative to previous models that apply surface tension as volume force such as the continuum surface force model. Problems that appeared when using the volume force models, such as the dependencies of calculation results on particle resolution and pressure gradient accuracy, were solved by using the STP model. Calculations predicted the theoretical values of the internal pressure of a 3D spherical droplet and the oscillation period of a 2D elliptic droplet over a wide range of surface tension coefficients and droplet sizes with errors less than 10%. Since the STP model is easy to implement, does not increase computation cost from previous models, and does not require surface reconstruction or additional marker particles, the model is suitable for practical and large-scale free surface flow problems that involve violent deformation of the liquid surface such as liquid atomization.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1445 - 1459"},"PeriodicalIF":3.3,"publicationDate":"2023-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40571-023-00575-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4728806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical study of wall normal stress and discharging characteristics for gravity blending silo","authors":"Jiawei Zhou, Chong Fu, Shu Jiang, Yanhua Wang, Xiaohui Liu, Linjian Shangguan","doi":"10.1007/s40571-023-00570-5","DOIUrl":"10.1007/s40571-023-00570-5","url":null,"abstract":"<div><p>In this work, the wall normal stress and the discharging characteristics of the granular material of gravity blending silo were numerically studied. The simulation accuracy of wall stress distribution and the granular discharge capability were separately verified by experiment. The over pressure and loss pressure phenomena during discharging, the redistribution of the wall normal stress of silo with internal blending pipe, and the influence of blending opening parameters on the performance of the discharge were examined. The results showed that: (1) the maximum over pressure values of transient pressure peak and stable wall normal stress during discharging were not more than 5 times and 2 times of the static pressure values, respectively. The inner blending pipes could dramatically reduce the over pressure. (2) The inner blending pipes could also disorganize wall stress and produce pressure screening effect. The mean values of dimensionless pressure for the four simulated blending pipe locations were all approximately 0.65. (3) The closer the opening of the blending pipe to the granular surface, the larger the discharging mean mass flow rate. (4) The vibration blending pipe could gently improve the granular flow capability. The controlled amplitude conditions had a better impact on the flow capability than the vibration frequency.</p><h3>Graphical abstract</h3>\u0000 <figure><div><div><div><picture><source><img></source></picture></div></div></div></figure>\u0000 </div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1431 - 1443"},"PeriodicalIF":3.3,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4621915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical analysis of vortex formation and particle dispersion in a supersonic compressible particle-laden mixing layer","authors":"Assel Beketaeva, Altynshash Naimanova, Gulzana Ashirova","doi":"10.1007/s40571-023-00563-4","DOIUrl":"10.1007/s40571-023-00563-4","url":null,"abstract":"<div><p>In the study, the quasi 2D-direct numerical simulations (DNS) approach of a supersonic mixing layer of hydrogen–nitrogen flow (upper high-speed) and air (bottom low-speed) with solid particles are performed. Navier–Stokes equations are taken for the multispecies gas phase combined with system of ordinary differential equations for solid particles (Eulerian–Lagrangian approach). Both dynamics of the unsteady vortex system formation and its effect on the solid particles distribution in the mixing layer for two values of the convective Mach number (ratio between the difference of flow velocities and sound speed) low 0.4 and high 0.8, also influence of the various hydrogen and nitrogen mass fractions in the upper flow on the particle dispersion in the mixture layer are studied. The similarity behavior of the particle dispersion for two convective Mach number <i>M</i><sub><i>c</i></sub> is consist, a namely, the particles accumulate around the vortex circle and along the spit between two vortices, which leads to some “empty” area inside the vortex due to the influence of centrifugal force, whereas the local eddy shock wave (shocklets) in the flow is formed for high convective Mach number <i>M</i><sub><i>c</i></sub> and the particle dispersion is not only controlled by turbulent vortex structures but also is complicated due to intersect this local shocklets. That result is in an additional curvature of the particle trajectory in the region shocklets. In addition, the hydrogen mass fraction variations in mixture show that the heavier the mixture, the smaller number of shocklets are formed, respectively, and the thickness of the mixing layer is growth.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1411 - 1429"},"PeriodicalIF":3.3,"publicationDate":"2023-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4395513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical simulations of flow characteristics of two side-by-side square cylinders with connected splitters","authors":"Hamid Rahman, Kayenat Qadim, Rahman Ullah, Waqas Sarwar Abbasi","doi":"10.1007/s40571-023-00572-3","DOIUrl":"10.1007/s40571-023-00572-3","url":null,"abstract":"<div><p>The influence of splitters on the flow structure mechanism around two side-by-side square cylinders with connected splitters at downstream position has been investigated in this article using lattice Boltzmann method at a fixed Reynolds number of 150. The normalized distance between the two cylinders is varied from 0.5 to 5 (e.g., 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5), and the normalized length of the connected splitters is varied from 1 to 4 with an increment of 0.5 (e.g., 1, 1.5, 2, 2.5, 3, 3.5, 4). For varying spacing ratios and length of splitters, the flow structure has been characterized into single bluff body, flip-flopping, in-phase non-synchronized, and anti-phase synchronized flow pattern. Changing the length of the splitters influences force statistics like the mean drag coefficient and the Strouhal number, which are examined in this study as well. The mean drag coefficients and Strouhal numbers of two side-by-side square cylinders with splitters are compared to the data of two side-by-side square cylinders without splitters, and it is observed that these forces did not always reduce and that in some cases, accession rather than reduction may happen. The computational and experimental results of other researchers are compared to the current observed flow patterns, and good agreement is found.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1397 - 1409"},"PeriodicalIF":3.3,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4351776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Peridynamic differential operator-based nonlocal numerical paradigm for a class of nonlinear differential equations","authors":"Xiaohu Yu, Airong Chen, Haocheng Chang","doi":"10.1007/s40571-023-00568-z","DOIUrl":"10.1007/s40571-023-00568-z","url":null,"abstract":"<div><p>This paper presents a novel nonlocal numerical paradigm for a class of general nonlinear ordinary differential equations using the peridynamic differential operator. Differential governing equations and initial/boundary conditions are reformulated from the local differential form to the nonlocal integral form using a meshless orthogonal technique. The solution domain is partitioned into a finite number of points, of which the properties are obtained through weighted summation over the corresponding properties of neighboring points. Using the Lagrange multiplier method and the variational principle, nonlinear ordinary differential equations with initial/boundary conditions can be solved through the Newton–Raphson iteration method. Moreover, the differences between the proposed method and other methods are illustrated by comparing several impact factors. Furthermore, three benchmarks, including the Riccati equation, the Poisson equation, and the fluid flow equation, have been solved to show the applicability and accuracy of the proposed numerical method, and the results are consistent with the numerical results in the previous literature. Finally, the proposed method is applied to the galloping vibration problem to reveal the galloping mechanism.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1383 - 1395"},"PeriodicalIF":3.3,"publicationDate":"2023-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40571-023-00568-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4313912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mubbashar Nazeer, Mohammed Z. Alqarni, Farooq Hussain, S. Saleem
{"title":"Computational analysis of multiphase flow of non-Newtonian fluid through inclined channel: heat transfer analysis with perturbation method","authors":"Mubbashar Nazeer, Mohammed Z. Alqarni, Farooq Hussain, S. Saleem","doi":"10.1007/s40571-023-00569-y","DOIUrl":"10.1007/s40571-023-00569-y","url":null,"abstract":"<div><p>The present investigation is based on the two-phase flow of a non-Newtonian fluid through a uniform channel with heat transfer. Stress tensor of third-grade fluid is taken into account to treat as non-Newtonian fluid. Two different types of viscous suspensions are formed with the tiny size Hafnium and crystal particles, respectively. Owing to the high magnetic susceptibility of the Hafnium metallic particles magnetic effects are applied, as well. Each magnetohydrodynamics bi-phase flow is caused, due to gravitational force. An asymptotic solution is obtained with the help of the “Regular perturbation method,” for the set nonlinear and coupled differential equations. A detailed parametric study is carried out to analyze the effective contribution of significant parameters and quantities. It is inferred that the strong magnetic effects and dominant viscous dissipation introduce additional thermal energy to the multiphase flow. Moreover, highly viscous multiphase suspensions are suitable in chemical industries to manufacture such paints and emulsions which contain small polymer particles.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1371 - 1381"},"PeriodicalIF":3.3,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40571-023-00569-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4266471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ali Ahmed, Shams Ul Islam, Abdul Quayam Khan, Abdul Wahid
{"title":"Reduction of fluid forces for flow past side-by-side cylinders using downstream attached splitter plates","authors":"Ali Ahmed, Shams Ul Islam, Abdul Quayam Khan, Abdul Wahid","doi":"10.1007/s40571-023-00565-2","DOIUrl":"10.1007/s40571-023-00565-2","url":null,"abstract":"<div><p>A two-dimensional numerical simulation is performed to investigate the drag reduction and vortex shedding suppression behind three square cylinders with attached splitter plates in the downstream region at a low Reynolds number (Re = 150). Numerical calculations are carried out using the lattice Boltzmann method. The study is carried out for various values of gap spacing between the cylinders and different splitter plate lengths. The vortices are completely chaotic at very small spacing, as observed. The splitter plates are critical in suppressing shedding and reducing drag on the objects. The splitter plates with lengths greater than two fully control the jet interaction at low spacing values. There is maximum percentage reduction in <i>C</i><sub><i>D</i>mean</sub> for small spacing and the selected largest splitter plate length. Furthermore, systematic investigation reveals that splitter plates significantly suppress the fluctuating lift in addition to drastically reducing the drag.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1351 - 1369"},"PeriodicalIF":3.3,"publicationDate":"2023-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40571-023-00565-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4174596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical study of erosion in dense gas–solid flow in new generation cyclones using two-way and four-way coupling","authors":"Hamed Safikhani, Hossein Moghadamrad, Somayeh Davoodabadi Farahani","doi":"10.1007/s40571-023-00566-1","DOIUrl":"10.1007/s40571-023-00566-1","url":null,"abstract":"<div><p>Cyclones are generally utilized in the industry to separate solid particles from gas streams. A solid–gas taking apart system with a turbulent swirling flow that happens in the cyclone will create erosion on the cyclone wall. The erosion will make a fall in cyclone effectiveness and augment the upholding cost. In this examination, the modeling of erosion produced by solid particles in cyclones of a new design for gas–solid two-phase dense flow along with two-way and four-way coupling effects was done using computational fluid dynamics. The effect of fluid flow velocity parameters, inlet particle diameters, and solid loading at the erosion rate (ER) was discussed. The distribution of pressure contours, axial velocity, and tangential velocity were compared in all couplings. Reynolds stress turbulence model was utilized to solve the flow equation. The DDPM-KTGF technique was used to calculate the particle–particle interactions in the dense discrete phase, and the erosion prediction was assessed by using the Oka model. The outcomes show that the ER rises with the rise in the velocity and diameters of the particles, but the rise in the solid loading ratio in the four-way coupling forecasts the erosion reduction. The cushioning efficacy promoted by inter-particle collisions reduces the ER.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1341 - 1350"},"PeriodicalIF":3.3,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40571-023-00566-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4132689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wenqi Li, Mengqing Shen, Lixin Meng, Peilin Luo, Yan Liu, Ju Ma, Xiaofeng Niu, Hongxia Wang, Weili Cheng, Tingting Wei
{"title":"Establishment of a three-dimensional mathematical model of SLM process based on SPH method","authors":"Wenqi Li, Mengqing Shen, Lixin Meng, Peilin Luo, Yan Liu, Ju Ma, Xiaofeng Niu, Hongxia Wang, Weili Cheng, Tingting Wei","doi":"10.1007/s40571-023-00557-2","DOIUrl":"10.1007/s40571-023-00557-2","url":null,"abstract":"<div><p>The present work constructed a three-dimensional mathematical model of the selective laser melting (SLM) process based on the smoothed particle hydrodynamics (SPH) method. The Navier–Stokes equation was used to control the continuous molten metal flow; the model of continuous surface tension, the wetting effect, and Marangoni shear force were used to simulate the shape and evolution of the molten pool; the Beer–Lambert-type heat source model was used to reflect the thermal interaction between the laser and the powder bed. A rigid body motion model was employed to simulate the motion of particles in particle-reinforced materials. The accuracy of the model used was verified by the example of the square-to-circle surface tension model and the classic example of the block falling into the water. The stochastic powder bed model was used to explore the temperature field and flow field in the SLM process. The molten pool morphology and temperature under different laser powers were discussed and compared with the simulation results of temperature field through different numerical methods, which verified the accuracy of SPH method for SLM process simulation. The SLM process of metal matrix composites with TiC particles was preliminarily explored, which laid a foundation for the next step to simulate the movement of particle-reinforced materials in the molten pool formed by the SLM process.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1323 - 1339"},"PeriodicalIF":3.3,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40571-023-00557-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4044359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A hybrid method of peridynamic differential operator-based Eulerian particle method–immersed boundary method for fluid–structure interaction","authors":"Haocheng Chang, Airong Chen, Baixue Ge","doi":"10.1007/s40571-023-00562-5","DOIUrl":"10.1007/s40571-023-00562-5","url":null,"abstract":"<div><p>This paper proposes a non-local Eulerian particle method coupling with immersed boundary method (IBM) for fluid–structure interaction (FSI) problems. In the Eulerian particle method, the partial differential forms of governing equations are transformed into integral forms using peridynamic differential operator (PDDO). Symmetric particle distribution is applied in the Eulerian particle method, enhancing the efficiency and stability of the algorithm. By introducing the IBM framework into the original Eulerian particle method, we can obtain a new coupling method, which could solve problems with moving bodies inside fluid and extend the applicability of the Eulerian particle method. The numerical procedure of the proposed hybrid method is detailed. The proposed method is then applied to three benchmark problems: 2D flow around a steady rectangle/moving square and an impulsively started rigid plate inside a rectangular box filled with water. The results capture the flow characteristics of these problems, showing the proposed method's stability and accuracy.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"10 5","pages":"1309 - 1322"},"PeriodicalIF":3.3,"publicationDate":"2023-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40571-023-00562-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4933574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}