Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (6): 749-766.doi: https://doi.org/10.1007/s10483-014-1827-6

• 论文 • 上一篇    下一篇

Electroosmotic oscillatory flow of micropolar fluid in microchannels:application to dynamics of blood flow in microfluidic devices

J. C. MISR11, S. CHANDRA2, G. C. SHIT2, P. K. KUNDU2   

  1. 1. Department of Mathematics, Institute of Technical Education and Research, Siksha O Anusandhan University, Bhubaneswar 751030, India;
    2. Department of Mathematics, Jadavpur University, Kolkata 700032, India
  • 收稿日期:2012-08-26 修回日期:2013-07-06 出版日期:2014-06-01 发布日期:2014-06-01
  • 通讯作者: J. C. MISRA, Professor, Ph.D., E-mail: misrajc@gmail.com E-mail:misrajc@gmail.com

Electroosmotic oscillatory flow of micropolar fluid in microchannels:application to dynamics of blood flow in microfluidic devices

J. C. MISR11, S. CHANDRA2, G. C. SHIT2, P. K. KUNDU2   

  1. 1. Department of Mathematics, Institute of Technical Education and Research, Siksha O Anusandhan University, Bhubaneswar 751030, India;
    2. Department of Mathematics, Jadavpur University, Kolkata 700032, India
  • Received:2012-08-26 Revised:2013-07-06 Online:2014-06-01 Published:2014-06-01

摘要:

The electroosmotic flow of a micropolar fluid in a microchannel bounded by two parallel porous plates undergoing periodic vibration is studied. The equations for conservation of linear and angular momentums and Gauss's law of charge distribution are solved within the framework of the Debye-Hückel approximation. The fluid velocity and microrotation are assumed to depend linearly on the Reynolds number. The study shows that the amplitude of microrotation is highly sensitive to the changes in the magnitude of the suction velocity and the width of the microchannel. An increase in the micropolar parameter gives rise to a decrease in the amplitude of microrotation. Numerical estimates reveal that the microrotation of the suspended microelements in blood also plays an important role in controlling the electro-osmotically actuated flow dynamics in microbio-fluidic devices.

关键词: microfluidics, electrohydrodynamic effect, blood flow, channel flow

Abstract:

The electroosmotic flow of a micropolar fluid in a microchannel bounded by two parallel porous plates undergoing periodic vibration is studied. The equations for conservation of linear and angular momentums and Gauss's law of charge distribution are solved within the framework of the Debye-Hückel approximation. The fluid velocity and microrotation are assumed to depend linearly on the Reynolds number. The study shows that the amplitude of microrotation is highly sensitive to the changes in the magnitude of the suction velocity and the width of the microchannel. An increase in the micropolar parameter gives rise to a decrease in the amplitude of microrotation. Numerical estimates reveal that the microrotation of the suspended microelements in blood also plays an important role in controlling the electro-osmotically actuated flow dynamics in microbio-fluidic devices.

Key words: microfluidics, blood flow, electrohydrodynamic effect, channel flow

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals