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1. Effect of different discretizations on the numerical solution of 2D aggregation population balance equation

Author:
Singh, Mehakpreet; Vuik, Kees; Kaur, Gurmeet; Bart, Hans-Jörg
Source:
Powder technology 2019 v.342 pp. 972-984
ISSN:
0032-5910
Subject:
equations,   etc   ; data analysis; powders;     Show all 3 Subjects
Abstract:
... This work is concerned with the assessment of the various discretizations used to obtain the numerical solutions of the bivariate aggregation population balance equation. It was illustrated in the literature that the accuracy and the efficiency of the numerical approximations is majorly controlled by the directionality and orientation of the grid selected for the domain discretization [4,6,35]. Th ...
DOI:
10.1016/j.powtec.2018.10.028

2. Study of the column efficiency using gradient elution based on Van Deemter plots

Author:
Alvarez-Segura, T.; Cabo-Calvet, E.; Baeza-Baeza, J.J.; García-Alvarez-Coque, M.C.
Source:
Journal of chromatography 2019 v.1584 pp. 126-134
ISSN:
0021-9673
Subject:
equations,   etc   ; chromatography; sulfonamides; uncertainty;     Show all 4 Subjects
Abstract:
... Performance of chromatographic columns is of major importance in the development of more efficient separation methods. So far, a common practice is to study the column behavior in isocratic elution by modifying the flow rate and fitting the theoretical plate height values versus the mobile phase linear velocity, according to the Van Deemter equation. In this work, an approach is presented to exten ...
DOI:
10.1016/j.chroma.2018.11.042

3. Correction to: Analysis of swale factors implicated in pollutant removal efficiency using a swale database

Author:
Fardel, Alexandre; Peyneau, Pierre-Emmanuel; Béchet, Béatrice; Lakel, Abdelkader; Rodriguez, Fabrice
Source:
Environmental science and pollution research international 2019 v.26 no.2 pp. 1303
ISSN:
0944-1344
Subject:
equations,   etc   ; databases; pollution control;     Show all 3 Subjects
Abstract:
... The original publication of this paper contains an error. Correct presentation of Equation 1 is presented in this paper. ...
DOI:
10.1007/s11356-018-3846-5

4. Pattern Detection and Scaling Laws of Daily Water Demand by SOM: an Application to the WDN of Naples, Italy

Author:
Padulano, Roberta; Del Giudice, Giuseppe
Source:
Water resources management 2019 v.33 no.2 pp. 739-755
ISSN:
0920-4741
Subject:
equations,   etc   ; variance; Italy;     Show all 3 Subjects
Abstract:
... In the present paper, a novel method is provided to detect significant daily consumption patterns and to obtain scaling laws to predict consumption patterns for groups of homogeneous users. The first issue relies on the use of Self-Organizing Map to gain insights about the initial assumption of distinct homogeneous consumption groups and to find additional clusters based on calendar dates. Non-dim ...
DOI:
10.1007/s11269-018-2140-0

5. A new technical for solving a weakly singular integro-differential equations

Author:
Nadir, Mostefa
Source:
Journal of Taibah University for Science 2017 v.11 pp. 229-232
ISSN:
1658-3655
Subject:
equations
Abstract:
... In this work, we transform a weakly singular integro-differential equations with logarithmic kernel to singular integral equations of Cauchy type and we prove by regularization the existence and uniqueness of the solution of this equations. Numerical examples illustrate the effectiveness of this new technical methods. ...
DOI:
10.1016/j.jtusci.2015.12.011

6. Qualitative properties in nonlinear Volterra integro-differential equations with delay

Author:
Tunç, Cemil
Source:
Journal of Taibah University for Science 2017 v.11 pp. 309-314
ISSN:
1658-3655
Subject:
equations
Abstract:
... This paper considers a class of scalar and vector nonlinear Volterra integro-differential equations of the first order with a constant delay. We demonstrate the stability, uniform stability, boundedness, convergence and square integrability of the solutions. The technique of proof involves defining appropriate Lyapunov functionals. Our results improve the results obtained in the literature. ...
DOI:
10.1016/j.jtusci.2015.12.009

7. Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations

Author:
Yüzbaşı, Şuayip
Source:
Journal of Taibah University for Science 2017 v.11 pp. 344-352
ISSN:
1658-3655
Subject:
equations
Abstract:
... In this paper, we suggest a matrix method for obtaining the approximate solutions of the delay linear Fredholm integro-differential equations with constant coefficients using the shifted Legendre polynomials. The problem is considered with mixed conditions. Using the required matrix operations, the delay linear Fredholm integro-differential equation is transformed into a matrix equation. Additiona ...
DOI:
10.1016/j.jtusci.2016.04.001

8. Boubaker polynomials collocation approach for solving systems of nonlinear Volterra-Fredholm integral equations

Author:
Davaeifar, Sara; Rashidinia, Jalil
Source:
Journal of Taibah University for Science 2017
ISSN:
1658-3655
Subject:
equations
Abstract:
... Numerical schemes have been developed for solutions of systems of nonlinear mixed Volterra-Fredholm integral equations of the second kind based on the First Boubaker polynomials (FBPs). The classical operational matrices are derived. The unknown has been approximated by FBPs and the Newton-Cotes points were applied as the collocations points. Error estimate and convergence analysis of the proposed ...
DOI:
10.1016/j.jtusci.2017.05.002

9. Extended G′G-expansion method for Calogero–Bogoyavlinskii–Schiff equation of fractional order

Author:
Mohyud-Din, Syed Tauseef; Saba, Fitnat
Source:
Journal of Taibah University for Science 2017
ISSN:
1658-3655
Subject:
equations
Abstract:
... In this paper, we explore new applications of the extended G′G-expansion method. We apply this method to the nonlinear Calogero–Bogoyavlinskii–Schiff equation of fractional order. As results, some new exact traveling wave solutions are obtained which include solitary wave solutions. The traveling wave solutions are expressed by hyperbolic and trigonometric functions. ...
DOI:
10.1016/j.jtusci.2016.10.005

10. Investigation of the nonlinear equation of the circular sector oscillator by Akbari-Ganji’s method

Author:
Mirgolbabaee, Hadi; Tahernejad Ledari, Soheil; Mohammad Zadeh, Navid; Domiri Ganji, Davood
Source:
Journal of Taibah University for Science 2017
ISSN:
1658-3655
Subject:
equations
Abstract:
... In this paper, a new and innovative semi-analytical method called Akbari-Ganji’s method (AGM) has been applied to solve nonlinear equations of the semicircular oscillator. The major concern is to achieve an accurate solution that has an efficient approximation according to the Runge-Kutta numerical method. The results are presented for different values of parameters to demonstrate the applicabilit ...
DOI:
10.1016/j.jtusci.2016.11.001

11. Some new dynamic inequality on time scales in three variables

Author:
Pachpatte, Deepak B.
Source:
Journal of Taibah University for Science 2017
ISSN:
1658-3655
Subject:
equations
Abstract:
... In this paper we obtain the estimates on some dynamic integral inequalities in three variables which can be used to study certain dynamic equations. We give some applications to convey the importance of our result. ...
DOI:
10.1016/j.jtusci.2017.02.007

12. Non-uniform filtration velocity of process gas passing through a long bag filter

Author:
Park, Sangcheol; Joe, Yun Haeng; Shim, Joonmok; Park, Hyunseol; Shin, Weon Gyu
Source:
Journal of hazardous materials 2019 v.365 pp. 440-447
ISSN:
0304-3894
Subject:
equations,   etc   ; air flow; filters; filtration;     Show all 4 Subjects
Abstract:
... Filtration velocity is one of the dominant parameters that determine the pressure drop through a bag filter. Experimental investigation of the air flow pattern around a bag filter inside a bag house is very difficult because of the complexity of the 3-D air flow. For this reason, we numerically investigated flow characteristics along a bag filter in detail. We newly found that the filtration veloc ...
DOI:
10.1016/j.jhazmat.2018.10.098

13. Correction to: Effectiveness of Parachlorella kessleri cell disruption evaluated with the use of laser light scattering methods

Author:
Piasecka, Agata; Cieśla, Jolanta; Koczańska, Magdalena; Krzemińska, Izabela
Source:
Journal of applied phycology 2019 v.31 no.1 pp. 109
ISSN:
0921-8971
Subject:
equations,   etc   ; Parachlorella kessleri; light scattering;     Show all 3 Subjects
Abstract:
... The original version of this article unfortunately contained a mistake. Equation 8 was wrongly written. ...
DOI:
10.1007/s10811-018-1658-0

14. Multiscale Simulations of Flows of a Well-Entangled Polymer Melt in a Contraction–Expansion Channel

Author:
Sato, Takeshi; Harada, Kohei; Taniguchi, Takashi
Source:
Macromolecules 2019 v.52 no.2 pp. 547-564
ISSN:
1520-5835
Subject:
equations,   etc   ; hydrodynamics; melting; models; polymers;     Show all 5 Subjects
Abstract:
... We have successfully applied a multiscale simulation (MSS) method [Murashima, T.; Taniguchi, T. Europhys. Lett. 2011, 96, 18002] to flows of a monodispersed linear entangled polymer melt in a contraction–expansion channel. In our MSS method, a macroscopic model is coupled with a microscopic model through the velocity gradient tensor and the stress tensor. The smoothed particle hydrodynamics (SPH) ...
DOI:
10.1021/acs.macromol.8b00649

15. Stability analysis of hydro-turbine governing system including surge tanks under interconnected operation during small load disturbance

Author:
Yu, Xiaodong; Yang, Xiuwei; Zhang, Jian
Source:
Renewable energy 2019 v.133 pp. 1426-1435
ISSN:
0960-1481
Subject:
equations,   etc   ; models; tanks; turbines; water power;     Show all 5 Subjects
Abstract:
... The operating modes of hydro-turbines have a significant influence on the stability of hydropower plants. In this study, a linking method of multiple hydropower plants and the frequency equation of the interconnected system are proposed. The state space modeling of the hydro-turbine governing system (HTGS), including the pipe system and surge tanks, is established under interconnected operating mo ...
DOI:
10.1016/j.renene.2018.08.100

16. The effect of wind speed averaging time on sand transport estimates

Author:
Shen, Yaping; Zhang, Chunlai; Huang, Xiaoqi; Wang, Xuesong; Cen, Songbo
Source:
Catena 2019 v.175 pp. 286-293
ISSN:
0341-8162
Subject:
equations,   etc   ; prediction; sand; wind erosion; wind speed;     Show all 5 Subjects
Abstract:
... Wind speed changes continuously in nature, but the characteristics of those changes differed among different time scales. Small-scale variations in wind speed mainly represent the instantaneous characteristics of the wind, whereas wind speed on larger scales can be used to estimate the average sand transport rate and soil erosion. The mean wind speed changes greatly as the averaging time used to c ...
DOI:
10.1016/j.catena.2018.12.020

17. Fast and accurate district heating and cooling energy demand and load calculations using reduced-order modelling

Author:
Kim, Eui-Jong; He, Xi; Roux, Jean-Jacques; Johannes, Kévyn; Kuznik, Frédéric
Source:
Applied energy 2019 v.238 pp. 963-971
ISSN:
0306-2619
Subject:
differential equation,   etc   ; buildings; energy; heat; models;     Show all 5 Subjects
Abstract:
... Recent developments in building energy models for urban energy simulation are primarily based on bottom-up modelling (N models used for N buildings). This work aims to develop a single assembled model for multiple buildings for convenient use in detailed urban analysis. The proposed model exhibits state-space model formalism, and a state-size reduction technique is applied to maintain model accura ...
DOI:
10.1016/j.apenergy.2019.01.183

18. π-π stacking interaction is a key factor for the stability of GH11 xylanases at low pH

Author:
Ge, Hui-Hua; Qiu, Yue; Yi, Zhi-Wei; Zeng, Run-Ying; Zhang, Guang-Ya
Source:
International journal of biological macromolecules 2019 v.124 pp. 895-902
ISSN:
0141-8130
Subject:
equations,   etc   ; amino acids; engineering; mutation; pH; xylanases;     Show all 6 Subjects
Abstract:
... Acidic xylanases possess the unique features necessary for the tolerance of acidic environments, which may have great potentials for industrial purposes. However, factors controlling the pH-dependent stability of xylanases are only partially known. Here we proposed a residue interaction networks based method to analyze the differences of residue interactions between 6 pairs of experimentally verif ...
DOI:
10.1016/j.ijbiomac.2018.11.282

19. Flood routing methods

Author:
Fenton, John D.
Source:
Journal of hydrology 2019 v.570 pp. 251-264
ISSN:
0022-1694
Subject:
equations,   etc   ; floods; hydrograph; hydrologic models; streams;     Show all 5 Subjects
Abstract:
... The hierarchy of one-dimensional equations and numerical methods describing the motion of floods and disturbances in streams is studied, critically reviewed, and a number of results obtained. Initially the long wave equations are considered. When presented in terms of discharge and cross-sectional area they enable the development of simple fully-nonlinear advection-diffusion models whose only appr ...
DOI:
10.1016/j.jhydrol.2019.01.006

20. Extracting surface diffusion coefficients from batch adsorption measurement data: application of the classic Langmuir kinetics model

Author:
Chu, Khim Hoong
Source:
Environmental technology 2019 v.40 no.5 pp. 543-552
ISSN:
1479-487X
Subject:
equations,   etc   ; adsorption; diffusivity; environmental technology; models;     Show all 5 Subjects
Abstract:
... Surface diffusion coefficients may be estimated by fitting solutions of a diffusion model to batch kinetic data. For non-linear systems, a numerical solution of the diffusion model’s governing equations is generally required. We report here the application of the classic Langmuir kinetics model to extract surface diffusion coefficients from batch kinetic data. The use of the Langmuir kinetics mode ...
DOI:
10.1080/09593330.2017.1397767