2023 Vol. 44, No. 6

Fluid Mechanics
Prediction of Gas-Liquid Pressurization Performances of Multistage Multiphase Pumps Based on Similarity Laws and Neural Networks
CHANG Liang, YANG Chenyu, SU Xiaobin, DAI Xiaoyu, XU Qiang, GUO Liejin
2023, 44(6): 619-628. doi: 10.21656/1000-0887.430405
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Abstract:
It is very important to accurately predict the gas-liquid pressurization performance of multiphase pumps for the economy and safety of oil-gas production. Existent prediction models and methods are limited by narrow parameter ranges and low pump stages. A gas-liquid experimental platform at the indu...
Study on Hydrodynamics Characteristics of a Single Bubble in Viscoelastic Fluid at Low Weissenberg Numbers
ZHANG Shihuan, PANG Mingjun, ZHENG Zhiying
2023, 44(6): 629-642. doi: 10.21656/1000-0887.430328
Abstract(543) HTML (228) PDF(48)
Abstract:
The VOF method was used to numerically study the upward motion of a single bubble in viscoelastic fluid, and the Oldroyd-B model was applied to describe the fluid viscoelastic property. At low Weissenberg numbers (Wi≤1), the effects of the viscous force, the relaxation time, the surface tension and ...
Simulation of Electroosmotic and Pressure-Driven Mixed Flow of Viscoelastic Fluids in Converging-Diverging Tubes
DU Changlong, XIA Weihao, YANG Jiajie, LI Jie
2023, 44(6): 643-653. doi: 10.21656/1000-0887.430255
Abstract(431) HTML (180) PDF(34)
Abstract:
The electroosmotic and pressure-driven mixed flow was widely used in various biochemical microfluidic fields, where the elastic instability of the viscoelastic fluid cannot be ignored. A viscoelastic fluid was used to numerically simulate electroosmotic and pressure-driven mixed flow in a 10:1:10 mi...
Numerical Simulation of Transient Non-Isothermal Viscoelastic Couette Flows Based on the SPH Method
XU Xiaoyang, ZHAO Yuting
2023, 44(6): 654-665. doi: 10.21656/1000-0887.430318
Abstract(572) HTML (223) PDF(59)
Abstract:
Based on the smoothed particle hydrodynamics (SPH) method, the transient non-isothermal viscoelastic flows were numerically simulated. First, the viscoelastic Couette flow based on the Oldroyd-B model under isothermal condition was simulated. Then, the simulation was extended to the non-isothermal c...
Solid Mechanics
Dynamic Modeling and Tracking Control of 2-Joint Manipulators in Ocean Current Environment
GE Dahui, YOU Yunxiang, FENG Aichun
2023, 44(6): 666-678. doi: 10.21656/1000-0887.430381
Abstract(485) HTML (408) PDF(66)
Abstract:
The hydrodynamic performance of the underwater manipulator is greatly influenced by the current load. The underwater environment is assumed to be a still water environment and the current load is only considered as a simple random disturbance in the current control research, and the traditional cont...
Numerical Simulation of Hydraulic Fractures Intersecting Natural Fractures in Shale With Plastic Deformation
CAO Yuling, HE Qiangsheng, LIU Chuang
2023, 44(6): 679-693. doi: 10.21656/1000-0887.430300
Abstract(598) HTML (240) PDF(75)
Abstract:
The plastic deformation and numerous natural joints of shale pose a great challenge for the prediction of the hydraulic fracture geometry extension. Based on the finite element method, a fully coupled numerical model for elastoplastic hydraulic fractures was established with natural fractures and be...
Deformation Behavior Modeling of SMAs Under Cyclic Loading Based on Rational Interpolation
WANG Xiaoming, XIAO Heng
2023, 44(6): 694-707. doi: 10.21656/1000-0887.430279
Abstract(444) HTML (154) PDF(35)
Abstract:
A finite elastoplasticity model was proposed to simulate deformation behaviors of SMAs under cyclic loading. First, the explicit formulations of shape functions were given with the rational interpolation method to exactly match any given experimental data. Second, a finite elastoplasticity J2 flow m...
Applied Mathematics
Projective Synchronization of Fractional Quaternion Neural Networks With Time-Varying Delays
LI Chunmei, YANG Xujun, WU Xiang
2023, 44(6): 708-718. doi: 10.21656/1000-0887.430228
Abstract(568) HTML (251) PDF(61)
Abstract:
The projective synchronization of fractional quaternion neural networks with time-varying delays was studied. Instead of transforming the fractional quaternion neural network system into 2 complex-valued systems or 4 real-valued systems, the means of treating the quaternion network system directly a...
The Legendre Collocation Spectral Method for the Ground State Solutions of the Bose-Einstein Condensates
LIU Wenjie, WANG Hanquan
2023, 44(6): 719-730. doi: 10.21656/1000-0887.430257
Abstract(443) HTML (178) PDF(50)
Abstract:
In recent years, a series of important achievements have been made in the experimental study of the ground state solutions of the Bose Einstein condensates. First, the ground state solution problem of the Bose Einstein condensate was converted into the extreme value problem of energy functional with...
An Euler-Maruyama Method for Variable Fractional Stochastic Differential Equations With Caputo Derivatives
LIU Jiahui, SHAO Linxin, HUANG Jianfei
2023, 44(6): 731-743. doi: 10.21656/1000-0887.430250
Abstract(504) HTML (152) PDF(62)
Abstract:
A Euler-Maruyama (EM) method was constructed to solve a class of variable fractional stochastic differential equations with Caputo derivatives. Firstly, the well-posedness of the equation was proved. Then, the corresponding EM method was derived in detail, and the strong convergence of the method wa...
The Cubic B-Spline Method for a Class of Caputo-Fabrizio Fractional Differential Equations
HU Xinghua, CAI Junying
2023, 44(6): 744-756. doi: 10.21656/1000-0887.430195
Abstract(602) HTML (225) PDF(46)
Abstract:
Based on the basic theorem of fractional calculus and the cubic B-spline theory, the cubic B-spline method for numerical solution of linear Caputo-Fabrizio fractional differential equations was proposed. The basic theorem of fractional calculus was used to transform the initial value problem into an...