scholarly journals Revisiting the Rosenbrock numerical solutions of the reactor point kinetics equation with numerous examples

2009 ◽  
Vol 24 (1) ◽  
pp. 3-12 ◽  
Author(s):  
Xue Yang ◽  
Tatjana Jevremovic

The fourth order Rosenbrock method with an automatic step size control feature was described and applied to solve the reactor point kinetics equations. A FORTRAN 90 program was developed to test the computational speed and algorithm accuracy. From the results of various benchmark tests with different types of reactivity insertions, the Rosenbrock method shows high accuracy, high efficiency and stable character of the solution.

Author(s):  
Takuto YOSHIOKA ◽  
Kana YAMASAKI ◽  
Takuya SAWADA ◽  
Kensaku FUJII ◽  
Mitsuji MUNEYASU ◽  
...  

Energies ◽  
2021 ◽  
Vol 14 (6) ◽  
pp. 1579
Author(s):  
Heng Zhang ◽  
Na Wang ◽  
Kai Liang ◽  
Yang Liu ◽  
Haiping Chen

A solar-aided power generation (SAPG) system effectively promotes the high efficiency and low cost utilization of solar energy. In this paper, the SAPG system is represented by conventional coal-fired units and an annular Fresnel solar concentrator (AFSC) system. The annular Fresnel solar concentrator system is adopted to generate solar steam to replace the extraction steam of the turbine. According to the steam–water matrix equation and improved Flugel formula, the variable conditions simulation and analysis of the thermo-economic index were proposed by Matlab. Furthermore, in order to obtain the range of small disturbance, the method of partial replacement is used, that is, the extraction steam of the turbine is replaced from 0 to 100% with a step size of 20%. In this work, a SAPG system is proposed and its thermo-economic index and small disturbance scope are analyzed. The results show that the SAPG system is energy-saving, and the application scope of small disturbance is related to the quantity of the extraction steam and evaluation index.


Author(s):  
Alfredo Bonini Neto ◽  
Luis Roberto Almeida Gabriel Filho ◽  
Dilson Amancio Alves

2021 ◽  
Vol 2125 (1) ◽  
pp. 012011
Author(s):  
Ziyi Du ◽  
Hongxu Zhan

Abstract Nowadays, many types of fuel cells have made significant progress. In 2014, they were applied to the production model Toyota’s FCHV-Adv. With their high efficiency and low pollution, fuel cells have gradually started to replace some traditional technologies in many energy applications and production industries and have become a hot topic of interest in recent years. Depending on the type of fuel, there are various types, and different fuel cells work on different principles, leading to differences in their performance. This paper lists the different fuel cells and their application scenarios in the automotive industry. In addition, the use of hydrogen in fuel cell vehicles is also a major concern. This paper briefly discusses the current hydrogen production and four different types of fuel cell vehicles and their energy management strategies. All the technical advantages of fuel cells and hydrogen energy are ultimately reflected in fuel cell vehicles, and this paper describes the current challenges and future possibilities.


2018 ◽  
Vol 35 (3) ◽  
pp. 305-313 ◽  
Author(s):  
C. Rebiai

ABSTRACTIn this investigation, a new simple triangular strain based membrane element with drilling rotation for 2-D structures analysis is proposed. This new numerical model can be used for linear and dynamic analysis. The triangular element is named SBTE and it has three nodes with three degrees of freedom at each node. The displacements field of this element is based on the assumed functions for the various strains satisfying the compatibility equations. This developed element passed both patch and benchmark tests in the case of bending and shear problems. For the dynamic analysis, lumped mass with implicit/explicit time integration are employed. The obtained numerical results using the developed element converge toward the analytical and numerical solutions in both analyses.


Micromachines ◽  
2019 ◽  
Vol 10 (6) ◽  
pp. 370 ◽  
Author(s):  
Jianing Li ◽  
Huaping Wang ◽  
Juan Cui ◽  
Qing Shi ◽  
Zhiqiang Zheng ◽  
...  

Magnetic micromachines as wireless end-effectors have been widely applied for drug discovery and regenerative medicine. Yet, the magnetic assembly of arbitrarily shaped cellular microstructures with high efficiency and flexibility still remains a big challenge. Here, a novel clamp-shape micromachine using magnetic nanoparticles was developed for the indirect untethered bioassembly. With a multi-layer template, the nickel nanoparticles were mixed with polydimethylsiloxane (PDMS) for mold replication of the micromachine with a high-resolution and permeability. To actuate the micromachine with a high flexibility and large scalable operation range, a multi-pole electromagnetic system was set up to generate a three-dimensional magnetic field in a large workspace. Through designing a series of flexible translations and rotations with a velocity of 15mm/s and 3 Hz, the micromachine realized the propel-and-throw strategy to overcome the inevitable adhesion during bioassembly. The hydrogel microstructures loaded with different types of cells or the bioactive materials were effectively assembled into microtissues with reconfigurable shape and composition. The results indicate that indirect magnetic manipulation can perform an efficient and versatile bioassembly of cellular micromodules, which is promising for drug trials and modular tissue engineering.


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