Modeling and optimization of energy system components equipped with phase change materials / von Matti Grabo, M.Sc ; Referent: Prof. Dr.-Ing. habil. Eugeny Kenig, Korreferent: Prof. Dr.-Ing. Henning Meschede. Paderborn, 2025
Inhalt
- Acknowledgement
- List of publications
- Contents
- List of figures
- List of tables
- Nomenclature
- 1 Introduction
- 2 Theoretical background
- 2.1 Basic heat transfer mechanisms
- 2.2 Governing equations and boundary conditions
- 2.3 Phase change materials
- 2.4 Heat transfer involving solid-liquid phase change
- 2.4.1 The Stefan problem
- 2.4.2 Neumann’s solution to the Stefan problem
- 2.4.3 Solutions for spherical geometries
- 2.5 Numerical solution techniques for phase change problems
- 2.5.1 The finite difference method
- 2.5.1.1 Discretization of the advection-conduction equation
- 2.5.1.2 Discretization of boundary conditions
- 2.5.2 Fixed grid methods for melting and solidification problems
- 2.6 Summary and conclusion
- 3 An implicit finite difference scheme for solid-liquid phase change problems
- 3.1 Description of the numerical scheme
- 3.2 Implementation
- 3.3 Validation test cases for simple geometries
- 3.4 Summary and conclusion
- 4 Case study I: PCM-enhanced solar PV modules
- 4.1 State of the art
- 4.2 Scope of the case study
- 4.3 System description and experimental setup
- 4.4 Thermal model of PCM-enhanced PV modules
- 4.5 Experimental results and model validation
- 4.6 Degradation estimation
- 4.7 Parameter study
- 4.8 Summary and conclusion
- 5 Case study II: Packed bed latent heat storages
- 5.1 State of the art
- 5.2 Scope of the case study
- 5.3 System description and experimental setup
- 5.4 Thermal model for packed bed latent heat storages
- 5.4.1 Treatment of non-spherical PCM capsule geometries
- 5.4.2 Governing equations
- 5.4.3 Numerical algorithm
- 5.5 Experimental results and model validation
- 5.6 Parameter study
- 5.7 Summary and conclusion
- 6 Concluding remarks
- Appendix
- References