History of discovery and application of the quadratic law of resistance in mine aerology

Authors

  • M.A. Semin Mining Institute UB RAS
  • G.Z. Fainburg Mining Institute UB RAS

DOI:

https://doi.org/10.7242/658-705X/2025.3.2

Keywords:

mine aerology, history of science, law of resistance, mine workings, Darcy-Weisbach law

Abstract

The law of resistance (or the Darcy-Weisbach law) that establishes a quadratic dependence of pressure losses due to friction on the average air flow velocity is the basis of the mathematical apparatus of modern aerology of mining enterprises.
Despite the abundance of scientific works devoted to the history of mine ventilation and mining in general, the question of the discoverer and first application of this law in mine ventilation remains unclear. This article presents a brief historical review aimed at clarifying when and by whom the quadratic law of resistance was first introduced into the practice of mine ventilation

Author Biographies

  • M.A. Semin, Mining Institute UB RAS

    доктор технических наук, заведующий лабораторией математического моделирования геотехнических процессов, ученый секретарь, Горный институт УрО РАН – филиал Пермского федерального исследовательского центра УрО РАН («ГИ УрО РАН»)

  • G.Z. Fainburg, Mining Institute UB RAS

    доктор технических наук, профессор, главный научный сотрудник, «ГИ УрО РАН»

References

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Published

2025-10-23

Issue

No. 3 (2025)

Section

Research: theory and experiment

How to Cite

Semin, M., & Fainburg, G. (2025). History of discovery and application of the quadratic law of resistance in mine aerology. Perm Federal Research Centre Journal, 3, 25-32. https://doi.org/10.7242/658-705X/2025.3.2