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Taking the coal-gas flow in the process of coal and gas outburst as the study object, the coal particles movement process is divided into acceleration process and balance process according to the solid particle suspension mechanism in the gas flow and the energy conservation law. A mathematical model for outburst coal conveying in the roadway in one-dimensional case is established, and its reasonableness is proved through resolving an on-site example. The mathematical model which is a new method for engineering calculation of outburst two-phase flow can both estimate the coal particles conveying distance according to the initial state of coal seam and inverse the initial energy of coal-gas flow according to the coal particles conveying distance record on spot

A Mathematical Model of Coal-gas Flow Conveying In the Process of Coal and Gas Outburst and Its Application