## 6 Conclusions  
In this study, we developed a lumped parameter model that incorporates solid and fluidic networks to analyse the behaviour of a wicked heat pipe. By formulating a system of first-order linear differential equations, we obtained a comprehensive mathematical representation of the loop heat pipe operation. The model was solved using Mathcad ODEsolver and validated through comparisons with experimental data from the literature. Notably, we successfully demonstrated the loop heat pipe's effectiveness as a heat switch device. Our investigation led to several key conclusions. Firstly, we found that the lumped parameter model exhibits excellent agreement with experimental results, underscoring its potential as a tool for evaluating the performance of loop heat pipes as heat switch devices. The model's ability to replicate experimental outcomes validates its reliability and accuracy. Secondly, our study introduced a novel mathematical model capable of predicting the transient behaviour of loop heat pipes as a heat switch. By adopting an innovative approach to switch the loop heat pipe on and off, we unlocked the possibility of leveraging loop heat pipes as heat switch devices. This advancement expands the application potential of loop heat pipe technology. Furthermore, we identified the convective heat transfer coefficient, denoted by \(h\), as a critical factor influencing the performance of loop heat pipes as heat switch devices. This coefficient plays a crucial role in facilitating heat transfer between the compensation chamber canister and its fluid, as well as between the vapour and the condenser pipe. To ensure accurate predictions, it is imperative to correlate the \(h\) coefficient using experimental data, enhancing the model's reliability. To simulate the five operational states of the loop heat pipe effectively, we introduced a set of corrective coefficients, namely \(f_{i\text{n1}}\) and \(f_{G_{1-(1-2)}}\). These coefficients were essential for accurately capturing the intricate dynamics of the loop heat pipe system, enabling us to analyze and understand its behaviour comprehensively. Moreover, we observed that applying cooling power to the compensation chamber resulted in a reduction in pressure within the chamber, leading to the cooling of the evaporator. This cooling effect played a crucial role in restarting the fluid loop within the loop heat pipe. Our current model provides valuable insights into estimating the required cooling power for successful loop heat pipe startup, aiding in the design and optimization of loop heat pipe-based systems. While our research made significant strides, further improvements to the mathematical model are necessary to broaden its applicability. Specifically, simulating loop heat pipes with different geometries and achieving higher accuracy requires a more detailed representation of the processes occurring within the compensation chamber. By refining the model and incorporating these enhancements, we can advance our understanding of loop heat pipes and unlock their full potential in various engineering applications. The conclusion of this article highlights the suitability of a lumped parameter model as a mathematical approach for predicting the non-linear behaviour of a loop heat pipe operating as a heat switch. However, in order to determine the fidelity and limitation of this non-linear behaviour, it is advisable to perform a model correlation against dedicated test campaigns. As a future development on the validation of these devices, a valuable recommendation is to establish a correlation between this simplified model and more advanced simulation software such as Thermal Desktop(r) 6.3 and ESATAN(r) 2023 that use specialised toolboxes for loop heat pipes. Conceptualisation, J.P.C., R.M. and P.G. ; methodology, J.P.C., R.M. and P.G. ; software, J.P.C. ; validation, N.G.D., R.M., P.G. and A.R.R.S. ; investigation, J.P.C. ; resources, R.M. ; data curation, J.P.C. ; writing--original draft preparation, J.P.C.