“…The flow of a liquid in a capillary medium undergoes a sequence of regimes, including acceleration ( z ∝ t 2 ) [ 70 , 71 , 72 ], inertial ( z ∝ t ) [ 70 , 71 , 72 , 73 , 74 , 75 ], visco-inertial [ 36 , 76 ], classic Washburn’s regime ( z ∝ t 1/2 ) [ 77 ], and final stages [ 78 ]. In contrast to many previous works focused on the classic Washburn regime and other capillary flow stages occurring on the sub-second (0.1–1 s) and second (1–100 s) time scales [ 78 , 79 , 80 , 81 , 82 , 83 , 84 , 85 , 86 , 87 , 88 , 89 , 90 , 91 , 92 , 93 , 94 , 95 ], our study mainly focuses on the early capillary flow regimes on the millisecond time scale between 0 and 100 ms, understanding of which has recently become an important issue in fast remediation of dry-out spots in cooling high-heat flux electronics of 4G/5G telecom networks [ 96 , 97 ], Maisotsenko cycle (M-cycle) heat/mass exchangers [ 98 , 99 , 100 , 101 ], and miniaturization of microfluidic devices [ 102 ], where the classic Washburn regime and later capillary flow regimes do not occur because of the short length of capillary channels.…”