Abstract

Abstract Based on the thermal theory of Newtonian mechanics, the pressure difference in the macro channels will drive the gas flow until the pressure difference inside is zero. However, the 12-year vacuum packaging experiments in our laboratory showed that when the macroscopic channel is reduced to a critical size and reaches the nanometer level, the gas flow inside the channel is hindered, that is, the differential pressure cannot become zero. To explain this paradoxical phenomenon, this study analyzes the flow of air molecules in the channel by using the De Broglie’s matter waves and Heisenberg’s uncertainty principle. Based on the law of quantum mechanics, when the diameter of the nanochannel is reduced to a certain size, it has a localized high pressure in the channel, which impedes the gas flow. This article introduces quantum mechanics into nanochannel’s gas fluid dynamics for the first time, expanding the new direction of fluid mechanics.

Highlights

  • Based on the thermal theory of Newtonian mechanics, the pressure difference in the macro channels will drive the gas flow until the pressure difference inside is zero

  • The 12 years of vacuum packaging measurements show that when the diameter of the nanochannels is reduced to a certain degree, there is a pressure difference of 1 atmosphere at both ends of the channels, there is a hindrance to the gas flow in the channels

  • When the leakage holes of metal tube shells are small and reach the nanometer level, this study introduces the De Broglie’s Matter Waves and Heisenberg’s uncertainty principle in quantum mechanics to analyze the air molecular flow

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Summary

Introduction

Abstract: Based on the thermal theory of Newtonian mechanics, the pressure difference in the macro channels will drive the gas flow until the pressure difference inside is zero. The 12-year vacuum packaging experiments in our laboratory showed that when the macroscopic channel is reduced to a critical size and reaches the nanometer level, the gas flow inside the channel is hindered, that is, the differential pressure cannot become zero. To explain this paradoxical phenomenon, this study analyzes the flow of air molecules in the channel by using the De Broglie’s matter waves and Heisenberg’s uncertainty principle. The leakage rate of the gas (Q) is expressed as:

Experiment and analysis
Discussion
Conclusion

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