Summary. The work is presented by two sections: theoretical and applied. In the first section the equation for calculating concentration fields is given. To obtain additional physical information about the process the initial and boundary conditions were recorded. The equation which is the generalised theoretical decision for various geometrical forms of a material is resulted: a sphere, an unlimited cylinder and an unlimited plate. Taking into account the extracting conditions the expressions were written the attractiveness of which is in their suitability for the calculation of the mass flow of the target components of the capillary with a known surface area. The presented theoretical data gave the chance to obtain the equations for calculation of diffusion factors in the material (forms: a sphere, an unlimited cylinder, an unlimited plate). The intuition prompts that these equations are fair for all kinds of raw materials of the plant origin with the capillary porous structure as follow from the base equation which was written down by G.A. Akselrud and V.M. Lysiansky. So diffusion factors, for example, were calculated at the extraction by liquid carbon dioxide from barley grains, acorn fruits and chicory roots crushed into grains and petal. The applied part of work is devoted to the calculation of diffusion factors in a lupine at the extraction by cheese whey and to the analysis of results, using for this purpose experimental data on the kinetics of the process, background in quantitative interpretation was formulated. For example, the lupine particles had the form of a sphere, a cylinder and a plate and as one of their sizes exceeds each of remained in four or more times so the particles can be considered as unlimited bodies. Therefore, one-dimensional diffusion flux towards the minimum size takes place in them. The results of diffusion factors calculations for all forms of material are presented by schedules from which it is obvious that the curves are close to each other and it is possible to present them with one generalised equation D( ). The quantitative evaluation of the results is given. One value of diffusion factor is also received, for this purpose the angular coefficient of the straight section being the area of the regular mode was determined. The conclusion is made that the researches carried out do not contradict to modern representations about the extracting mechanism.

extracting, extracting, the lupine geometric shape, extractive substances output, the diffusion coefficient

1. Аксельруд Г.А., Альтшулер М.А. Введение в капиллярно-химическую технологию. М.: Химия, 1983. 264 с. Aksel’rud G.A., Al’tshuler M.A. Vvedenie v kapiliarno-khimicheskuiu [Introduction in capillary and chemical technology]. Moscow, Khimiia, 1983. 264 p. (In Russ.).

2. Аксельруд Г.А., Лысянский В.М. Экстрагирование (система твердое тело − жидкость). Л.: Химия, 1974. 256 с. Aksel’rud G.A., Lysianskii V.M. Ekstragirovanie (sistema tverdoe telo-zhidkost’) [Extraction (system solid body-liquid)]. Leningrad, Khimiya, 1974. 256 p. (In Russ.).

3. Бесчаснюк Е.М., Дячок В.В., Курчер О.В., Боко В.А. Математическая модель процесса экстрагирования из растительного сырья. Львов: Изд. Фармаком, 2003. C. 33-36. Beschasniuk E.M., Diachok V.V., Kurcher O.V., Boko V.A. Matematicheskaia model’ protsessa ekstragirovaniia iz rastitel’nogo syr’ia [Mathematical process model of extraction from vegetative raw materials]. L’vov, Izdatel’stvo Farmakom, 2003. pp. 33-36. (In Ukr.).

4. Добронец Б.С. Интегральная математика: учебное пособие. Красноярск: КГУ, 2004. 216 с. Dobronets, B.S. Integral’naia matematika [The integrated mathematics]. Krasnoiarsk, КGU, 2004. 216 p. (In Russ.).

5. Дытнерский Ю.И. Процессы и аппараты химических технологий. М.: Химия, 1995. 368 с. Dytnerskii Iu.I. Protsessy i apparaty khimicheskikh tekhnologii [Process and devices of chemical technologies]. Мoscow, Khimiia, 1995. 368 p. (In Russ.).

6. Иванов С.С., Шишацкий Ю.И., Плюха С.Ю. Кинетика извлечения – экстрагирования экстрактивных веществ из люпина с различной геометрической формой // Вестник ВГУИТ. 2014. №1. С. 36-39. Ivanov S.S., Shyshatskii Iu.I., Pliukha S.Iu. Kinetic of extraction – the extract of extraction substances from lupin with the various geometrical form. Vestnik VGUIT. [Bulletin of VSUET], 2014, no. 1, pp. 36-39. (In Russ.).

7. Ильин В.А., Куркина А.В. Высшая математика: учебник. М.: Изд. Проспект, 2004. 600 с. Il’in V.A., Kurkina A.V. Vysshaia matematika [Higher mathematic]. Мoscow, Izdatel’stvo Prospekt, 2004. 600p. (In Russ.).

8. Корниенко Т.С., Новикова И.В., Востриков С.В. Изучение кинетики извлечения экстрактивных веществ из щепы дуба // Хранение и переработка сельхозсырья. 2003. №9. С. 58-60. Kornienko T.S., Novikova I.V., Vostrikov S.V. Studying kinetic of extract of extraction the substances from splint of oak . Khranenie i pererabotka sel’khozsyriia. [Storage and processing of agricultural raw materials], 2003, no. 9, pp. 58-60. (In Russ.).

9. Романков П.Г., Фролов В.Ф. Массообменные процессы химической технологии. Л.: Химия, 1990. 384 с. Romankov P.G., Frolov V.F. Massoobmennye protsessy khimicheskoi tekhnologii [Mass exchange processes of chemical technology]. Leningrad, Khimiia, 1990. 384 p. (In Russ.).

10. Шишацкий Ю.И., Плюха С.Ю. Определение коэффициента диффузии экстрактивных веществ в сырье растительного происхождения при экстрагировании диоксидом углерода // Вопросы современной науки и практики. 2011. №4. С. 95-101. Shishatskii Iu.I., Pliukha S.Iu. Definition of diffusion factor of extraction substances in phytogenesis raw materials at of extraction of dioxide carbon. Voprosy sovremennoi nauki i praktiki. [Questions of a modern science and practice], 2011, no. 4, pp. 95-101. (In Russ.).