THE MATHEMATICAL MODEL OF FILTERING PROCESS AT LOW CONCENTRATION SUSPENSION

Authors

  • Yu. Orlyuk Institute of Food Resources of National Academy of Agrarian Sciences of Ukraine, Kyiv, Ukraine
  • M. Shynkaryk Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine
  • O. Kravets Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine

Keywords:

suspension, filtration, capillary, pores, regeneration

Abstract

The aim of the work was to build a mathematical model of filtering process at low concentration suspension with clogging pores by many particles, also constant height of sediment layer is presented. The coefficients which allow to consider the deviation from cylindrical form capillaries and the number of particles that clog given capillaries are offered. The mathematical model allows to determine the length of the filtering process based on the volume of suspension, and to set the rational period between regenerations of self-purifying filter element. Comparing the parameters obtained by mathematical modelling to the real process of filtering milk whey indicates that the mathematical model adequately reflects the separation process of suspension on the filter with self-purifier filter element with the volume of filtrate from 0 to 10 m3 per 1 m2 filter surface. The average relative deviation of the results obtained with the help of the mathematical model of the experiment is 19 %. The mathematical model can be applied for calculating parameters of the process of suspension filtering on the filter with self-purifying filter element.

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References

Шинкарик, М.М. Аналіз гранулометричного складу білкової дисперсної фази / М.М. Шинкарик, О.І. Кравець // Наукові праці Одеської національної академії харчових технологій. – 2011. – Т. 2, № 40. – С. 266-269.

Кравец, О.И. Влияние реологических характеристик сырной пыли на процесс фильтрования молочной сыворотки / О.И.Кравец, М.Н. Шинкарик. // Известия вузов. Пищевая технология. – 2013. – № 5-6. – С. 71-74.

Шинкарик М.М. Дослідження компресійно-фільтраційних характеристик

білкової дисперсної фази / М.М. Шинкарик, О.І. Кравець // Прогресивна техніка та технології харчових виробництв ресторанного господарства і торгівлі. – 2012. – №1(15). – С.476-484.

Numerical and analytical modeling of solid–liquid expression from soft plant materials/ M. Petryk, E. Vorobiev // AIChE Journal. – 2013. – V. 59, № 12. – P. 4762.

Воробьев Е.И. О фильтровании пищевых суспензий со сжимаемыми осадками / Е.И Воробьев, И.М. Федоткин // Изв. вузов СССР. Пищевая технология, – 1982. – С. 12.

Малиновская Т.А. Разделение суспензий в химической промышленности / Т.А. Малиновская, И.А. Кобринский, О.С.Кирсанов, В.В. Рейнфарт. – М.: Химия, 1983. – 264 с.

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Published

2017-06-25

How to Cite

Orlyuk, Y., Shynkaryk, M., & Kravets, O. (2017). THE MATHEMATICAL MODEL OF FILTERING PROCESS AT LOW CONCENTRATION SUSPENSION. FOOD RESOURCES, 5(08), 23–28. Retrieved from https://iprjournal.kyiv.ua/index.php/pr/article/view/224

Issue

Vol. 5 No. 08 (2017): Food Resources

Section

Технічні науки

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