Mathematical model of laminar sublayer based on the Nikuradse experiment
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Graphical Abstract
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Abstract
Inthemineventilation,thelaminarsublayerappearednearthewallofroadwaynotonlyexerts animportantinfluenceontheformationofvortexinthecorezoneandtheaccumulationofdustandgas, butalsoplaysadecisiveroleontheheattransfer,masstransferanddragreductionwiththewall*This paperbasedonNikuradseexperiment,avelocitydistributionformulawasderivedbytheoreticalanalysis aboundarybetweentransionalregionandhydraulicroughregionwasdetermined*Amoreprecisemath⁃ ematicalmodeloflaminarsublayerthicknesswasderivedandamathematicalmodelofboundaryturbu⁃ lentvelocitywasestablished,whichverifiedthatthethicknessdecreasedastheReynoldsnumberin⁃ creasedandroughnessdecreased,andfoundthattheratiooflaminarsublayerenergydissipationin⁃ creasedwiththeReynoldsnumberdecreasedandroughnessincreased*Theresultscouldbeappliedin theanalysisofmineventilation*
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