“…There were several previous models developed to account for the reactant conversion in the VPTR for (1) catalytic reactions (Pratt, 1974;Paraskos et al, 1976;Varghese and Varma, 1979;Fan, 1981; Fan and Hwang, 1981;Shaikh and Carberry, 1984), (2) noncatalytic gassolid reactions (Fan et al, 1984), and (3) noncatalytic gas-phase reactions (Jepson, 1986). Fan (1981), Fan and Hwang (1981), Fan et al (1984), and Jepson (1986) incorporated empirically obtained hydrodynamic properties in their modeling efforts. However, there have been very few experimental measurements of heat-transfer rate between gases and suspended fine particles, and only limited correlations are available (Bandrowski and Kaczmarzyk, 1978;Kato et al, 1983).…”