Title: Modelling and simulation of thermo-fluid system with one-dimensional distributed parameters on Modelica

Authors: Yiming Yuan; Zefei Zhu; Guojin Chen; Chang Chen

Addresses: Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, China ' Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, China ' School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang, China ' School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang, China

Abstract: Thermo-fluid systems are applied to industrial production and daily life widely and influence human activities deeply. In this paper, a modelling and simulation method is presented for the thermo-fluid system with one-dimensional parameters on Modelica, aiming at providing a framework and modelling process of one-dimensional thermo-fluid system model. Method of lines is introduced to convert the partial differential equation, which is used to describe the one-dimensional thermo-fluid system, to a group of differential-algebraic equations. Based on the Newton-Gregory polynomial, the discretisation method and step are presented and the difference expression is deduced for the first and second order spatial derivative terms in PDE. At last, two illustrative examples, wave equation and human body heat loss model, are presented to confirm the veracity and accuracy of the method proposed in the article.

Keywords: thermo-fluid system; one-dimensional distributed parameter; partial differential equation; differential algebra equation; Modelica.

DOI: 10.1504/IJWMC.2021.117548

International Journal of Wireless and Mobile Computing, 2021 Vol.20 No.4, pp.309 - 319

Received: 17 Apr 2020
Accepted: 02 Sep 2020
Published online: 13 Sep 2021 *

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