Work

Efficient analytical framework for transient temperature distribution in a multi-layer linear motor with variable ohmic heating

Year: 2025

Type: article

Abstract: This research presents fast and closed-form analytical solutions for transient thermal modeling in multi-layer composite structures with variable internal heat generation. A five-layer segment of a water-cooled permanent magnet linear synchronous motor (PMLSM) is analyzed under both constant and time-varying ohmic heating to validate the proposed models. The separation of variables (SOV) method is employed to decouple spatial and temporal components, enabling the determination of eigenvalues. The orthogonal expansion (OE) technique is applied to compute Fourier coefficients based on the regular Sturm–Liouville theorem. For constant heat sources, an analytical solution is derived by combining the SOV method with the OE technique. To address transient heat sources and other non-homogeneous conditions including temperature-dependent thermal conductivity, a Green’s function (GF) based approach is developed. The results show that the proposed method offers significantly faster computation compared to finite element (FE) methods, while achieving even higher accuracy. This modeling framework provides an efficient tool for thermal analysis of electrical machines and a forward computational foundation for advanced applications, such as inverse modeling to detect material property variations during long-term operation. • Transient analytical solutions for multi-layer structure with internal heating and non-homogeneous boundary conditions. • Ultra-fast SOV-OE solution, orders of magnitude faster than FE method. • Flexible Green’s function framework for time-varying source and boundary inputs. • Temperature-dependent resistivity handled by lightweight fix-point iteration. • Fast, accurate forward framework, ready for inverse parameter estimation problems.

Source: International Journal of Heat and Mass Transfer

DOI: 10.1016/j.ijheatmasstransfer.2025.128087

Authors: Gan Fu, Calina Ciuhu, Mitrofan Curti, Elena A. Lomonova

Institution: Eindhoven University of Technology

Language: English

Topic: Heat Transfer and Numerical Methods

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,220

Funders: Rijksdienst voor Ondernemend Nederland, Technische Universiteit Eindhoven