Cereal brans are by‐products of the milling of cereal grains, which are mainly used as low value ingredients in animal feed. Wheat and oat bran is a rich source of bioactives and phytochemicals, especially phenolic compounds. Within this study, the application of ultrasound (US) technology to assist the extraction of phenolics from oat and wheat bran was investigated (20–45 kHz). Peleg’s mathematical model was used to study the kinetics of ultrasound-assisted extraction (UAE) and subsequent stirring of total phenolic compounds (TPC). The surface morphology of cereal brans after extraction was studied using SEM analysis. The excellent agreement was determined between the values of TPC calculated from Peleg’s mathematical model and actual experimental results. The constant that represents a time required for the initial phenolic concentration to be extracted to one-half of its initial value has been introduced (K_1/2). It was shown that the TPC extraction kinetics was dependent only on K_1/2 enabling fast kinetics fitting and comparison between extraction rates. Moreover, different values of K_1/2 constant could indicate the differences in brans composition and consequently different influence of US pretreatment on these samples.

谷糠是谷物碾磨的副产品，主要用作动物饲料中的低价值成分。小麦和燕麦麸富含生物活性物质和植物化学物质，尤其是酚类化合物。在这项研究中，研究了超声 (US) 技术在帮助从燕麦和麦麸中提取酚类物质 (20–45 kHz) 的应用。Peleg 的数学模型用于研究超声辅助提取 (UAE) 和随后搅拌总酚类化合物 (TPC) 的动力学。使用SEM分析研究了提取后谷麸的表面形态。从 Peleg 的数学模型计算的 TPC 值与实际实验结果之间确定了极好​​的一致性。_1/2）。结果表明，TPC 提取动力学仅依赖于 K _1/2，从而能够进行快速动力学拟合和提取速率之间的比较。此外，K _1/2常数的不同值可以表明麸皮成分的差异，从而表明美国预处理对这些样品的影响不同。