WANG Shuang, JIAN Yongjun. Magnetohydrodynamic Electroosmotic Flow in Zeta Potential Patterned Micro-Parallel Channels[J]. Applied Mathematics and Mechanics, 2020, 41(4): 396-405. doi: 10.21656/1000-0887.400151
Citation: WANG Shuang, JIAN Yongjun. Magnetohydrodynamic Electroosmotic Flow in Zeta Potential Patterned Micro-Parallel Channels[J]. Applied Mathematics and Mechanics, 2020, 41(4): 396-405. doi: 10.21656/1000-0887.400151

Magnetohydrodynamic Electroosmotic Flow in Zeta Potential Patterned Micro-Parallel Channels

doi: 10.21656/1000-0887.400151
Funds:  The National Natural Science Foundation of China(11772162;11472140)
  • Received Date: 2019-04-26
  • Rev Recd Date: 2019-05-14
  • Publish Date: 2020-04-01
  • Two-dimensional magnetohydrodynamic (MHD) electroosmotic flow (EOF) in zeta potential patterned micro-parallel channels was studied. The flow was driven by the combination of the Lorentz force and the electric field force produced due to an externally imposed vertical magnetic field and two horizontal electric fields. The analytical solutions of stream function and velocity distribution were obtained under the condition of hydrodynamic slippage. The variations of velocities with related non-dimensional parameters, such as Hartmann number Ha,slip length B and electrokinetic width K were addressed in detail. Results show that, the patterned charged surfaces induce a vertical velocity component leading to the formation of the vortexes. Also, the magnitudes of velocities increase with slip length B and electrokinetic width K.Moreover, it is interesting to note that the magnitudes of velocities become small with the increasing value of Ha, unlike the situation where there exists a critical value of Ha in one-dimensional flow. The present theoretical results can be utilized to design efficient microfluidic devices.
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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