Method of Approximate Particular Solutions for the Solution of Electro-Kinetic Fluids in Micro and Nanochannels

被引:1
|
作者
Castro, D. A. [1 ]
Florez, W. F. [2 ]
Caruso, N. [3 ]
Portapila, M. [3 ]
机构
[1] Univ Tecnol Choco, Grp Invest Gest Ciencias Tecnol Ingn & Matemat, Cra 22 18B-10 B, Quibdo, Colombia
[2] Univ Pontificia Bolivariana, Grp Energia & Termodinam, Grp Optimo, Circ 1 74-34, Medellin, Colombia
[3] Univ Nacl Rosario, CONICET, Ctr Franco Argentino Ciencias Informac & Sistemas, Bv 27 Febrero 210 Bis, Rosario, Argentina
关键词
Particular solutions; electrokinetic flows; microchannels; DIFFUSION EQUATION; LOCALIZED METHOD; NAVIER-STOKES; FLOW PROBLEM; CONVECTION; SLIP;
D O I
10.18180/tecciencia.2019.27.9
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents an application of the method of approximate particular solutions with radial basis functions (MAPS) in two dimensions, for the solution of electrokinetic flows in micro and nanochannels. This development is performed for a mixed electroosmotic flow and driven by a pressure gradient. The implementation of the method is carried out for a rectangular micro channel, in two dimensions and for a cylindrical nanochannel. The results obtained show the MAPS implementations, their directness and simplicity when applied to the models presented here, allowing to obtain good approximations using few nodes.
引用
收藏
页码:85 / 101
页数:17
相关论文
共 50 条
  • [1] On electro-kinetic fluids: One dimensional configurations
    Ryham, R
    Liu, C
    Wang, ZQ
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2006, 6 (02): : 357 - 371
  • [2] UNIQUENESS OF WEAK SOLUTIONS TO A MODEL OF ELECTRO-KINETIC FLUID
    Fan, Jishan
    Gao, Hongjun
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2009, 7 (02) : 411 - 421
  • [3] Removal of Chromium Contaminated Soils by Electro-Kinetic Method
    Jameel, Stella Robert
    Saeed, Khitam Abdulhussein
    Hawal, Laith Hamdan
    JOURNAL OF ECOLOGICAL ENGINEERING, 2024, 25 (09): : 182 - 189
  • [4] ADVANTAGES OF USING THE ELECTRO-KINETIC METHOD FOR SOIL DEPOLLUTION
    Popa, Maria
    Negoita, Loredana Irena
    Arnautu, Bogdan Petre
    SCIENTIFIC PAPERS-SERIES E-LAND RECLAMATION EARTH OBSERVATION & SURVEYING ENVIRONMENTAL ENGINEERING, 2019, 8 : 192 - 195
  • [6] Cadmium Removal from Contaminated Soil by Electro-Kinetic Method
    Hawal, Laith Hamdan
    Al-Sulttani, Ali Omran
    Hamza, Jinan N.
    JOURNAL OF ECOLOGICAL ENGINEERING, 2023, 24 (01): : 79 - 86
  • [7] BLOW-UP CRITERIA OF SMOOTH SOLUTIONS TO A 3D MODEL OF ELECTRO-KINETIC FLUIDS IN A BOUNDED DOMAIN
    Chen, Miaochao
    Liu, Qilin
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [8] ELECTRO-KINETIC AND DIFFUSION MEASUREMENTS OF ASSOCIATION OF DYES IN SOLUTION AND ADSORBED AT SOLID SURFACES
    GILES, CH
    DSILVA, AP
    TRANSACTIONS OF THE FARADAY SOCIETY, 1969, 65 (561P): : 2516 - &
  • [9] A localized approach for the method of approximate particular solutions
    Yao, Guangming
    Kolibal, Joseph
    Chen, C. S.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (09) : 2376 - 2387
  • [10] Monitoring the efficiency of electro-kinetic soil remediation process with geophysical surveying method
    Plank, Zsuzsanna
    Cardenas, Jesus
    Corona, Maribel-Perez
    Acosta, Gustavo
    Solis, Sara
    Hernandez, Gilberto
    Bustos, Erika
    ELECTROCHIMICA ACTA, 2023, 442