As a tool to characterize the acoustic properties of conventional centrifugal pumps, consisting in impeller and vaneless volute casing, a new acoustic lumped parameter model has been developed that simulates the acoustic field induced inside the pumps when subject to low-frequency sound sources. The model is based on a network of nodes distributed through the pump, with local transfer matrices connecting pairs of nodes at neighboring regions, and so it is referred to as an internal transfer matrix model. At the present stage the model has been implemented in a procedure to determine the pump passive acoustic properties, either in terms of a transmission matrix or a scattering matrix, though in a future step the model is to be applied for the characterization of the internal sound sources in centrifugal machinery. This paper presents the assumptions of the model and the resolution approach to calculate transmission or scattering matrices, as well as a summary of results for a reference pump that shows the sensitivity of predictions with respect to several geometrical pump parameters. Finally, a contrast is carried out between experimental data recently reported in the literature on the scattering matrices for five pumps of different geometry and the corresponding predictions obtained from (i) the new lumped parameter model based on internal transfer matrices and (ii) a classical pump model based on an electrical system analogy. The results show that the predictions of the new transfer matrix model are always in reasonable quantitative agreement with measurements, and that, as frequency is increased, its prediction capability clearly outperforms that of the electrical analogy model regardless the pump specific speed or the geometrical features.

作为表征常规离心泵（包括叶轮和无叶片蜗壳）的声学特性的工具，已开发出一种新的集总参数模型，该模型可模拟当受到低频声源作用时在泵内部引起的声场。该模型基于通过泵分布的节点网络，本地传输矩阵连接相邻区域的成对节点，因此被称为内部传输矩阵模型。在现阶段，已经以确定泵浦无源声学特性的程序来实现模型，无论是根据传输矩阵还是散射矩阵，尽管在将来的步骤中该模型将用于内部声音的表征离心机械的来源。本文介绍了模型的假设和计算透射或散射矩阵的分辨率方法，以及参考泵的结果摘要，该参考泵显示了相对于几个几何泵参数的预测敏感性。最后，在文献中最近报道的有关五个不同几何形状的泵的散射矩阵的实验数据与从（i）基于内部传递矩阵的新集总参数模型和（ii）经典模型获得的相应预测之间进行了对比。基于电气系统类比的水泵模型。结果表明，新的传输矩阵模型的预测始终与测量值保持合理的定量一致性，并且随着频率的增加，