Mathematical description of the drying process of mulberry leaves

Abstract

Three mathematical models were used in this study: the Newton model, the Henderson-Pabis model, and the Page model. Three models were chosen for comparison with experimental data because they are commonly used to describe the drying characteristics of thin films and are simplifications of the theoretical model derived from the diffusion equation (Fick’s second law). The Newton model is a mathematical model for drying a thin layer, also called the Lewis model. Lewis described that the transfer of water from food and foodstuffs can be shown by analogy with the outflow of heat from the body when the body is immersed in a cold liquid. The Henderson-Pabis model has been used in thin-layer drying of various agricultural products, including drying of corn, wheat, coarse rice, beans and tubers. The Page model is a modified model of the Lewis model. Page proposed this model to correct the shortcomings of the Lewis model. Page’s model has created models that are suitable for describing the drying of various agricultural products and are easier to use than other equations.

Control of modes of energy-saving vibro-drying devices

“…Thus, taking into account (4), the problem of optimizing the drying process in a vibrofluidized bed is reduced to finding the values of the regime parameters included in formula (1), which provide a minimum cost for thermal and electrical energy, with a maximum specific productivity per unit area of the gas distribution grid [10][11][12][13][14][15][16][17][18][19].…”

“…where 𝑡 -100 o C; 𝑡 -120 o C -minimum and maximum air temperatures at the inlet to the drying chamber, the values of which are selected according to the conditions given in [2,[19][20][21][22][23]; air velocity in vibrofluidized bed apparatus…”

Study of the composition of useful plant extracts

“…The mass fraction of organic acids was estimated by the titrimetric method [9][10][11][12][13][14][15][16][17]. The content of flavonols was determined by the spectrophotometric method (λ=410 nm) according to the reaction of complex formation of flavonols with aluminum chloride [18,19].…”

Correlation analysis of geological factors with the coefficient of gas transfer of organizations

“…This "two-sided" result of the problem has to write off gas reserves that are not confirmed by the data on the development of natural gas fields, which is of economic importance and has always been the cause of heated debates among experts [4][5][6]. In gas and gas condensate extraction, we can study the factors influencing the gas yield of productive layers into natural (geological) and non-natural (technical-technological and economic) factors [7][8][9]. However, one of the main reasons for the increase in economic costs or the emergence of technical and technological complications is the complex geological structure of the productive layers.…”