“…Thus, one energy conservation equation (15) is solved for each phase. The use of local thermal non-equilibrium (LTNE) appears widely in the literature when using homogenisation Belghit, 2011a, 2011b;Groehn et al, 2016;Kenarsari and Zheng, 2014;Villafán-Vidales et al, 2011;Wang et al, 2014a;Wang et al, 2014b;Zedtwitz et al, 2007;Zedtwitz and Steinfeld, 2005) or when the phases are resolved individually (Abanades et al, 2007;Oles and Jackson, 2015), though there are examples of high solid fraction studies in fixed beds where the single temperature-or local thermal equilibrium (LTE)-assumption is made (Lapp et al, 2013;Lapp and Lipiń ski, 2014;Lu et al, 2016;Martinek et al, 2014). The approximation of LTE is valid when any local temperature differences between a fluid and a solid are much smaller than the temperature differences that appear in the whole system.…”