Composting is an integral part of waste management. In-vessel composting makes for a more efficient compost within a short period. Composting allows the transformation of waste into a useful product. However, the processes involved and the end product can differ concerning quality, performance, or safety. Composting, an exothermic process, is majorly regulated by temperature monitoring. Models have been established to represent some features of the composting process, but never all of them together. In general, the energy balance is defined by the decomposition degree and the heat removal associated with it. Temperature is a vital modeling state variable which could be simulated at any moment by estimating the change in heat balance components. This article explores the composting mechanism mathematical models and heat balance, and evaluates their efficiency. Composting process mathematical models were developed from both mass balance and energy perceptions, with approaches generally established over time, and sometimes spatially. To summarize the work conducted on in-vessel composting mathematical modeling and energy balance, the authors performed a systematic review of literature citing research and review articles in peer-reviewed journals and theses. This review covers 60 scientific research articles from 2005 to 2019. The data gathered is useful in the control, design, and management of the composting operations as well as in improving the performance and productivity of the bioreactors.

堆肥是废物管理不可或缺的一部分。船内堆肥可在短时间内提高堆肥效率。堆肥可以将废物转化为有用的产品。但是，所涉及的过程和最终产品在质量，性能或安全性方面可能会有所不同。堆肥是一个放热过程，主要受温度监控的控制。已经建立了表示堆肥过程某些功能的模型，但从未将所有这些功能结合在一起。通常，能量平衡由分解度和与其相关的除热定义。温度是至关重要的建模状态变量，可以随时通过估算热平衡分量的变化来模拟温度。本文探讨了堆肥机理的数学模型和热量平衡，并评估其效率。堆肥过程的数学模型是根据质量平衡和能量感知而开发的，通常随着时间的推移，有时在空间上建立方法。为了总结在船上堆肥数学模型和能量平衡方面所做的工作，作者对研究进行了系统的综述，并引用了同行评审期刊和论文中的文章。这篇综述涵盖了2005年至2019年的60篇科学研究文章。所收集的数据对于堆肥操作的控制，设计和管理以及提高生物反应器的性能和生产率非常有用。有时在空间上 为了总结在船上堆肥数学建模和能量平衡方面所做的工作，作者对研究进行了系统的综述，并引用了同行评审期刊和论文中的文章。这篇综述涵盖了2005年至2019年的60篇科学研究文章。所收集的数据对于堆肥操作的控制，设计和管理以及提高生物反应器的性能和生产率非常有用。有时在空间上 为了总结在船上堆肥数学建模和能量平衡方面所做的工作，作者对研究进行了系统的综述，并引用了同行评审期刊和论文中的文章。这篇综述涵盖了2005年至2019年的60篇科学研究文章。所收集的数据对于堆肥操作的控制，设计和管理以及提高生物反应器的性能和生产率非常有用。