Capillary flows along microchannels in the presence of magnetic field
To analytically determine liquid depth and velocity, we formulated a theoretical a capillary flow. The coupling effects of viscous force (Fv), capillary force (Fs), and electromagnetic force (Fm) were considered during the modeling process. Periodical electromagnetic force facilitates capillary flow in hydrophilic conditions, and velocity vibration synchronizes with electromagnetic force. A sufficiently high electromagnetic force was required for ensuring the upward movement of liquid front in hydrophobic conditions. Liquid depth was increased with the increase in magnetic field, damping factor, and angular frequency. The velocity peak was positively related to \(\mid \cos\theta \mid\) and magnified with the increase in damping factor and angular frequency in hydrophilic conditions. However, variations in velocity in hydrophobic conditions experienced an initial forward instantaneous peak and became consistent with that of hydrophilic conditions because of electromagnetic force.
KeywordsCapillary flow Circular microchannels Magnetic field Liquid depth Average velocity
List of symbols
Magnetic induction intensity
Peak of magnetic induction
Total viscous force
- r, z
Viscous shearing force
PACS Nos.47.10.−g 47.10.A− 47.15.G− 47.55.dr 47.65.−d
The work is supported by the National Natural Science Foundation of China (51374173) and Natural Science Basic Research Plan in Shanxi Province of China (2018JM5082).
- J M Zeng, H X Zhu and J Y Kong Adv. Mat. Res. 634 1914 (2013)Google Scholar