Creation of a mathematical model for the preparation of aerated dough

N. Ermoshin, S. Romanchikov, I. Volkov
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Abstract

For the scientific substantiation of technical solutions for the modification of technological equipment for food production, a mathematical model for the preparation of aerated dough is proposed. On this basis, new technical means and technological equipment have been developed for the production of bread products from whipped yeast-free dough. The mathematical model makes it possible to investigate the quality indicators of aerated yeast-free dough and in particular, its uniformity, which depends on the geometric characteristics of the kneading chamber, the duration of mixing, and the volume of water. The main parameter that allows mode ling the mixing process is the suspension flow density and the mixing coefficient. The process of equalizing the suspension density along the height of the kneading chamber is modeled by the chamber system is modeled by a system of differential equations. The solution of these equations allows you to determine the optimal geometric parameters of the kneading chambers. Determining the parameters of the kneading chamber for forced mixing of ingredients through the use of mechanical energy makes it possible to calculate the technical characteristics of the design of the apparatus for preparing whipped yeast-free dough, these include the characteristics of the energy source, power plant (electric motor), source of thermal energy, compressor to create pressure in the kneading chamber.
创建一个数学模型的准备充气面团
为了科学地确定食品生产工艺设备改造的技术方案,提出了曝气面团制备的数学模型。在此基础上,开发了以无酵生面团为原料生产面包制品的新技术手段和工艺设备。该数学模型使研究曝气无酵母面团的质量指标成为可能,特别是其均匀性,这取决于揉制室的几何特性,混合的持续时间和水的体积。允许对混合过程进行建模的主要参数是悬浮流密度和混合系数。将悬浮密度沿捏合腔高度的均匀化过程建模,将捏合腔系统用微分方程组建模。这些方程的解允许您确定揉捏室的最佳几何参数。通过利用机械能确定用于强制混合配料的揉制室的参数,可以计算出制备无酵母搅拌面团的装置设计的技术特性,这些特性包括能量源、动力装置(电动机)、热能源、在揉制室中产生压力的压缩机的特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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