“…It is convenient to characterize these efforts in terms of their description of the gas phase within the catalytic passage, that is, whether the channel is one-dimensional (relying on heat-and mass-transfer coefficient correlations), two-dimensional (assuming axisymmetry, parallel flat plates, or external boundary-layer flow), or three-dimensional (no spatial simplifications). These studies have included: one-dimensional considerations of single passageways (Votruba et al, 1975;Heck et al, 1976;Young and Finlayson, 1976a,b;Sinkule and HlavLcek, 1978;Finlayson and Young, 1979;Marteney and Kesten, 1981;T'ien, 1981a,b;Oh and Cavendish, 1982;Prasad et al, 1983;Ahn et al, 1986;Zygourakis, 1989;Bennet et al, 1992;Tien and T'ien, 1992;Montreuil et al, 1992;Groppi et al, 1993;O h and Bissett, 1993;Leighton and Chang, 1995), multiple passageways (Flytzani-Stephanopoulos et al, 1986;Chen et al, 1988;Kolaczkowski et al, 1988;Kolaczkowski and Worth, 19951, two-dimensional solutions for single passageways (Heck et al, 1976;Young and Finlayson, 1976a,b;Finlayson and Young, 1979;Bennet et al, 1992;Lee and Aris, 1977;Harrison and Ernst, 1978;Zygourakis and Ark, 1983;Bruno et al, 1983;Ryan et al, 1991;Hayes et al, 1992Hayes et al, , 1996Boehman et al, 1992;Hayes and Kolaczkowsi, 1994;Groppi et al, 1995;Frye and Boehman, 1996;Boehman et al, 1997a,b), exter...…”