Selection of Numerical Methods and their Application to the Thermo-Ecological Life Cycle Cost of Heat Exchanger Components

Journal of Sustainable Development of Energy, Water and Environment Systems
Volume 3, Issue 2, pp 131-139
Lucyna Czarnowska1 , Wojciech Litwin2, Wojciech Stanek1
1 Silesian University of Technology, Institute of Thermal Technology, Gliwice, Poland
2 Monolith Solution, Siemianowice, Poland

Thermo-Ecological Cost with the inclusion of Life Cycle (TEC-LC) is defined as the cumulative exergy consumption of non-renewable natural resources associated with any product and its life cycle, taking into account the necessity to prevent and compensate losses caused by depletion of natural resources and the release of harmful substances into the environment. The problem of collecting data for solving TEC-LC equations is not the only one which can be faced in determining this indicator. The selection of the calculation method could also affect obtained results due to the accuracy of the selected algorithm. Numerical stability is particularly important in the case of large sets of data and in this case operations on large matrixes. The issue with a set of TEC-LC balanced equations is examined and compared on the basis of heat exchanger components.

Keywords: Numerical methods, Thermo-ecological cost, Heat exchanger, Math.NET Numerics, Iterative matrix solvers.

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