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Published on 26 October 2019

DEVELOPMENT OF A MATHEMATICAL MODEL FOR THE FORMATION OF AIR BUBBLES IN THE JET BLOWBARTER

G.I. Sverdlik, A.Yu. Ataeva, K.K. Baymatov, M.I. Alkatsev

On the example of one of the large enterprises at the foothill zone of the North Caucasus – LLC Kavdolomit, which provides leading enterprises of the Russian Federation and neighboring countries with dolomite, the need for replacing the dry method for collecting small particles of dolomite flour, including nanoparticles, in bag filters that are unable to capture particles by size it is shown less than 1 micron due to the structure of the fabric on a promising wet method of dust collection. At NCIMM (STU) on the basis of the patented design of the distribution plate, a jet bubbler design has been developed in which a foam regime effective for trapping small particles is created due to the impact of gas-liquid jets without the use of surface-active substances. It is known that the mechanism of bubble formation in the bubblers is determined by a large number of parameters and is extremely complicated; therefore, the development of a mathematical model of the air bubbles formation is important for the theoretical assessment and prediction of the results of the bubbling process initial stage and for obtaining data for the design of the industrial jet bubblers. The process of bubble formation from the vertical slots of the bubbler caps is considered in stages. 1st stage – opening the windows of the slots of the cap. The formula for determining the static pressure requires to open the windows of the slots and the initial opening of the slots. 2nd stage – the formation of air bubbles. The process of separation of the bubble from the window of the cap slot is considered, provided that the forces acting on the bubble at the time of separation are equal. As a result, the formula is obtained for determining the rate of air outflow from the slot needed to detach a bubble. Based on the obtained mathematical model, a methodology has been developed for calculating the parameters of the air bubbles formation process in the jet bubbler: the initial opening of the slots, the static pressure under the cap of the cap and the rate of air flow from the slot. A comparison of the calculated value of the velocity of air outflow from the slots of the cap with the literature data for the velocity values in the holes of the bubblers indicates the adequacy of the obtained mathematical model.

CityVladikavkaz
CountryRussia
UDC621.928.9:519.87
Issue2019, № 3 (T. 11)
Key wordsdolomite refinement, dolomite powder, dust catching, jet bubbler, air traps, mathematical model.
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Categories: Articles

Tags: mathematical model, доломитовая мука, струйный барботер, измельчение доломита, улавливание пыли, пузырьки воздуха

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ISSN 1998-4502 (Print)                                                            ISSN 2499-975Х (Online)