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A New Explicit Equation for Calculating the Friction Factor for the Turbulent Flow in Pipes

Wang Yong,Yuan Qi

Strategic Study of CAE 2006, Volume 8, Issue 6,   Pages 83-88

Abstract: Calculating friction factor by implicit Colebrook equation have to use iterative algorithm, which ismethod for binary nonlinear polynomials was presented in order to obtain a high precise and simple form explicitequation for calculating the friction factor.Fitting the data calculated by Colebrook equation with the above method, a new explicit equation forThe new equation can reproduce the Colebrook equation with average deviation of 0.5% and the maximum

Keywords： turbulent flow     friction factor     implicit Colebrook equation     genetic algorithms     intelligent fitting method     explicit equation    

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A regularization scheme for explicit level-set XFEM topology optimization

Markus J. GEISS, Jorge L. BARRERA, Narasimha BODDETI, Kurt MAUTE

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2,   Pages 153-170 doi: 10.1007/s11465-019-0533-2

Abstract: Traditionally this is achieved by advancing the LS field through the solution of a Hamilton-Jacobi equationintroduces a novel LS regularization approach based on a signed distance field (SDF) which is applicable to explicit

Keywords： level-set regularization     explicit level-sets     XFEM     CutFEM     topology optimization     heat method     signed distance    

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Explicit optimization method for cutting-screw-thread on the basis of dual-RSM

Zhengbao LEI, Shubin WEI, Qingyun DU

Frontiers of Mechanical Engineering 2010, Volume 5, Issue 4,   Pages 423-430 doi: 10.1007/s11465-010-0109-7

Abstract: To obtain the explicit function for optimizing the cutting-screw-thread (CST) in crash, the simulationsThird, the explicit resultant peak acceleration function of six parameters by using RSM again is obtainedA dual RSM-based explicit method is proposed.

Keywords： vehicle engineering     crash     safety     explicit method     response surface method    

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A refined risk explicit interval linear programming approach for optimal watershed load reduction with

Pingjian YANG,Feifei DONG,Yong LIU,Rui ZOU,Xing CHEN,Huaicheng GUO

Frontiers of Environmental Science & Engineering 2016, Volume 10, Issue 1,   Pages 129-140 doi: 10.1007/s11783-014-0683-8

Abstract: To enhance the effectiveness of watershed load reduction decision making, the Risk Explicit Interval

Keywords： refined risk explicit interval linear programming     decision making     objective-constraint uncertainty tradeoff    

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Comparison of the performance of traditional advection-dispersion equation and mobile-immobile model

Haizhu HU,Xiaomin MAO

Frontiers of Agricultural Science and Engineering 2016, Volume 3, Issue 3,   Pages 241-248 doi: 10.15302/J-FASE-2016108

Abstract: The traditional advection-dispersion equation (ADE) and the mobile-immobile model (MIM) are widely used

Keywords： solute transport     advection dispersion equation (ADE)     mobile-immobile model (MIM)     conservative solute    

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Optimal design of extractive dividing-wall column using an efficient equation-oriented approach

Yingjie Ma, Nan Zhang, Jie Li, Cuiwen Cao

Frontiers of Chemical Science and Engineering 2021, Volume 15, Issue 1,   Pages 72-89 doi: 10.1007/s11705-020-1977-y

Abstract: The extractive dividing-wall column (EDWC) is one of the most efficient technologies for separation of azeotropic or close boiling-point mixtures, but its design is fairly challenging. In this paper we extend the hybrid feasible path optimisation algorithm (Ma Y, McLaughlan M, Zhang N, Li J. Computers & Chemical Engineering, 2020, 143: 107058) for such optimal design. The tolerances-relaxation integration method is refined to allow for long enough integration time that can ensure the solution of the pseudo-transient continuation simulation close to the steady state before the required tolerance is used. To ensure the gradient and Jacobian information available for optimisation, we allow a relaxed tolerance for the simulation in the sensitivity analysis mode when the simulation diverges under small tolerance. In addition, valid lower bounds on purity of the recycled entrainer and the vapour flow rate in column sections are imposed to improve computational efficiency. The computational results demonstrate that the extended hybrid algorithm can achieve better design of the EDWC compared to those in literature. The energy consumption can be reduced by more than 20% compared with existing literature report. In addition, the optimal design of the heat pump assisted EDWC is achieved using the improved hybrid algorithm for the first time.

Keywords： design     extractive dividing-wall column     equation-oriented optimisation     pseudo-transient continuation model    

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Explicit–Implicit Co-Simulation Techniques for Dynamic Responses of a Passenger Car on Arbitrary Road Article

Hongzhou Hu, Zhihua Zhong

Engineering 2019, Volume 5, Issue 6,   Pages 1171-1178 doi: 10.1016/j.eng.2019.09.003

Abstract: The investigations are based on an explicit–implicit approach in which substructure techniquesTire–road interactions are modeled in the explicit package with contact-impact interfaces withIt can be concluded that the explicit–implicit co-simulation techniques used here are efficient

Keywords： Durability study     Dynamic responses     Passenger car     Explicit–implicit co-simulation     Contact-impact    

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Calculation and research on deepwater drilling riser flexural equation and natural frequency

Jiang Wei

Strategic Study of CAE 2011, Volume 13, Issue 5,   Pages 66-73

Abstract:

Flexural equation was established in this paper, which was based on applicationFree-hinged beam was taken as constraint condition of flexural equation combined with drilling string

Keywords： deepwater drilling     drilling riser     flexural equation     natural frequency     shape function    

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Parametric analysis and design equation of ultimate capacity for unstiffened overlapped CHS K-joints

CHEN Yu, ZHAO Xianzhong, CHEN Yiyi

Frontiers of Structural and Civil Engineering 2008, Volume 2, Issue 2,   Pages 107-115 doi: 10.1007/s11709-008-0014-x

Abstract: Finally, based on the design equation of gap joints, a formula predicting the ultimate capacity of overlappedResults from the proposed design equation are consistent with experimental results.

Keywords： regression analysis     consistent     unstiffened     plasticity     overlapped    

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Research of the Damage Evolution Equation and Spallation Criterion

Cao Jiedong,Li Yongchi

Strategic Study of CAE 2006, Volume 8, Issue 1,   Pages 40-45

Abstract:

In this paper, a new kind of damage evolution equation is presented by the method of phenomenologicalthe computational results and the experimental ones, the material parameters in the damage evolution equationbetween the computational results and the experimental ones show that the new form of damage evolution equation

Keywords： damage evolution equation     spallation criterion     numerical simulation    

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Numerical Study on the Parabolic Mild-slope Equation

Shen Yongming,Zheng Yonghong,Wu Xiuguang

Strategic Study of CAE 2004, Volume 6, Issue 3,   Pages 30-35

Abstract:

Two kinds of parabolic mild-slope equations are studied systematically. By numerical modeling wave transformation over four typical topographies, the accuracy of numerical schemes, the effect of grid number on the solution accuracy, the sensitiveness of the models to the incident wave angle and the effect of weakly nonlinear terms on the numerical results are discussed in detail. These results can give some theoretical guidance to the applications of parabolic mild slope equations to wave propagation over complex topography in large coastal areas.

Keywords： parabolic mild-slope equation     numerical study     wave    

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The experimental study on the equation of state for polyester

Lin Peng,Wang Changli,Li Yan,Liu Wenxiang,Wang Dengwang

Strategic Study of CAE 2009, Volume 11, Issue 4,   Pages 63-66

Abstract: The polynomial equation of state is obtained by regression of the experimental data and the Grüneisen

Keywords： polyester     equation of state     Hugoniot     the shock wave    

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Simulation of Wave Propagation Over a Submerged Bar Using a Modified Boussinesq Equation

Zheng Yonghong,Shen Yongming,Wu Xiuguang,You Yage

Strategic Study of CAE 2004, Volume 6, Issue 4,   Pages 34-40

Abstract:

A modified Boussinesq equation is numerically studied.Comparison of numerical results with experimental data shows that the modified Boussinesq equation itselfThese results can give some theoretical guidance to the applications of Boussinesq equation to wave propagation

Keywords： modified Boussinesq equation     numerical simulation     wave propagation     submerged bar    

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Application of Zero Equation Turbulence Model for Numerical Simulation of Air Distribution in Train Compartment

Yang Peizhi,Gu Xiaosong

Strategic Study of CAE 2006, Volume 8, Issue 1,   Pages 26-29

Abstract: numerical simulation of air distribution in train compartment using k - ε turbulence model, so zero equationIn this paper, zero equation turbulence model and k - ε turbulence model were applied for numericalcomparison, the results come from these two. methods are inosculated very well, and the time cost by zero equationSo zero equation turbulence model has the merit of simpleness and quickness, it will provide a simple

Keywords： air-conditioning     zero equation turbulence model     numerical simulation     train    

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Iteration framework for solving mixed lubrication computation problems

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 3,   Pages 635-648 doi: 10.1007/s11465-021-0632-8

Abstract: The general discrete scheme of time-varying Reynolds equation loses the information of the previous stepA discretization formula of the Reynolds equation, which is based on the Crank–Nicolson method, is proposedframework is developed to investigate the relative error of the most important term in the Reynolds equation

Keywords： mixed lubrication     discretization formula     relative error     Reynolds equation     asperity    

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Title Author Date Type Operation

A New Explicit Equation for Calculating the Friction Factor for the Turbulent Flow in Pipes

Wang Yong,Yuan Qi

Journal Article

A regularization scheme for explicit level-set XFEM topology optimization

Markus J. GEISS, Jorge L. BARRERA, Narasimha BODDETI, Kurt MAUTE

Journal Article

Explicit optimization method for cutting-screw-thread on the basis of dual-RSM

Zhengbao LEI, Shubin WEI, Qingyun DU

Journal Article

A refined risk explicit interval linear programming approach for optimal watershed load reduction with

Pingjian YANG,Feifei DONG,Yong LIU,Rui ZOU,Xing CHEN,Huaicheng GUO

Journal Article

Comparison of the performance of traditional advection-dispersion equation and mobile-immobile model

Haizhu HU,Xiaomin MAO

Journal Article

Optimal design of extractive dividing-wall column using an efficient equation-oriented approach

Yingjie Ma, Nan Zhang, Jie Li, Cuiwen Cao

Journal Article

Explicit–Implicit Co-Simulation Techniques for Dynamic Responses of a Passenger Car on Arbitrary Road

Hongzhou Hu, Zhihua Zhong

Journal Article

Calculation and research on deepwater drilling riser flexural equation and natural frequency

Jiang Wei

Journal Article

Parametric analysis and design equation of ultimate capacity for unstiffened overlapped CHS K-joints

CHEN Yu, ZHAO Xianzhong, CHEN Yiyi

Journal Article

Research of the Damage Evolution Equation and Spallation Criterion

Cao Jiedong,Li Yongchi

Journal Article

Numerical Study on the Parabolic Mild-slope Equation

Shen Yongming,Zheng Yonghong,Wu Xiuguang

Journal Article

The experimental study on the equation of state for polyester

Lin Peng,Wang Changli,Li Yan,Liu Wenxiang,Wang Dengwang

Journal Article

Simulation of Wave Propagation Over a Submerged Bar Using a Modified Boussinesq Equation

Zheng Yonghong,Shen Yongming,Wu Xiuguang,You Yage

Journal Article

Application of Zero Equation Turbulence Model for Numerical Simulation of Air Distribution in Train Compartment

Yang Peizhi,Gu Xiaosong

Journal Article

Iteration framework for solving mixed lubrication computation problems

Journal Article