Novel Methodology & Simulation Study for Optimizing Heat Pump Efficiency through Stochastic FEA and Comparative Circular Statistical Tools

Abstract

This research introduces a novel framework integrating stochastic finite element
analysis (FEA) with advanced circular statistical methods to optimize heat pump efficiency
under material uncertainties. By modeling directional variability in thermal conductivity
using both uniform and Von Mises distributions, the study highlights the superiority of the
Von Mises distribution in providing consistent and efficient thermal performance. The Von
Mises distribution, known for its concentration around a mean direction, demonstrates a
significant advantage over the uniform distribution, resulting in higher mean efficiency and
lower variability. The findings underscore the importance of considering both stochastic
effects and directional consistency in thermal systems, paving the way for more robust and
reliable design strategies.