“…In the open literature, the heat transfer data were obtained by direct measurements (in which the component particles are heated separately) and indirect means (by involving the transient heating of fluid or mass transfer experiments). On the other hand, the measurement techniques applied for packed pebble-bed heat transfer are as follows: (1) the electrically heated single sphere buried in the unheated packing (Achenbach, 1982(Achenbach, , 1995Schroder et al, 2006;Rimkevicius et al, 2006;Rimkevicius and Uspuras, 2008;Rousseau and van Staden, 2008); (2) mass transfer analogy and simultaneous heat and mass transfer (Achenbach, 1982(Achenbach, , 1995; and (3) the regenerative heating technique, which is based on the concept of unsteady heat transfer of a heated sphere in a packed pebble bed through which a cooling fluid flows (Hoogenboezem, 2007). In addition, semi-empirical methods (Gnielinski, 1978; and recently computational and theoretical models Laurien, 2001, 2003;Yesilyurt and Hassan, 2003;Lee et al, 2007;Stainsby et al, 2008Stainsby et al, , 2010aKim et al, 2010;du Toit and Rousseau, 2012) were used to predict the heat transfer rate and coefficients in pebble-bed reactors.…”