Role of Quantum Effect for Nano-confined Substance Ultrafast Flow

20 July 2018, Version 1
This content is a preprint and has not undergone peer review at the time of posting.


Many researchers, however, found that the flow of both liquid and gas through nanoscale pores is one to even seven orders of magnitude faster than that would be predicted from the classic Newton’s mechanic theories, such as the Hagen-Poiseuille equation, the Bernoulli’s principle, the Knudsen theory. Here, for the first time, we propose a possible explanation for the ultra-fast flow of substance through the nano-confined pores based on the Wave-Particle Dualism. Since the mass of the substance is a constant, the velocity of the substance in the nanopores is very important. The molecule behaves like a particle above the critical velocity, while could reduce its velocity to the critical value in the nanopores, which, then, behaves like the wave inducing the tunneling transfer. The critical velocities in 18 different study cases from the literatures have been calculated. The role of quantum effect for ultrafast flow could possibly provide new ideas for studying the nature of the physiological processes with the ion and molecule channels, which are the backbones for the biology, and possibly promote the development of new method for energy conversion, desalination of sea water and even for information systems.


Quantum Effect
the Wave-Particle Dualism
de Broglie wave
Ultrafast Flow


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Comment number 1, Uken Chou: Dec 06, 2023, 14:19

Great work. But I got 2.2168 m/s for a 10 nm pore. Maybe there was a mistake in this paper or I made a mistake.