International Scholarly Research Notices / 2013 / Article / Tab 2 / Research Article
Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors Table 2 Comparison of our analytical expression of concentration profiles
with numerical results and Villa et al. [
1 ] results corresponding to Case
1 , for
, and
, when
and
.
Dimensionless spatial coordinate
0.0 0.25 0.5 0.75 1.00 −2.5 −0.5
Numerical 0.000000 0.044356 0.074890 0.092878 0.098564 Analytical (15 ) 0.000000 0.044254 0.074608 0.092320 0.098140 Villa et al. [1 ] 0.000000 0.045077 0.076180 0.094425 0.100440 −5 −0.5
Numerical 0.000000 0.037821 0.062402 0.076523 0.080991 Analytical (15 ) 0.000000 0.037461 0.062200 0.076257 0.080814 Villa et al. [1 ] 0.000000 0.039354 0.065829 0.081121 0.086125 −7.5 −0.5
Numerical 0.000000 0.032841 0.053973 0.068000 0.070002 Analytical (15 ) 0.000000 0.032651 0.053454 0.067831 0.069662 Villa et al. [1 ] 0.000000 0.035385 0.058706 0.072018 0.076351 −4 −0.2
Numerical 0.000000 0.040345 0.067145 0.083100 0.087989 Analytical (15 ) 0.000000 0.040097 0.067028 0.082520 0.087574 Villa et al. [1 ] 0.000000 0.041559 0.069825 0.086265 0.091662 −5 −0.2
Numerical 0.000000 0.038110 0.062899 0.077121 0.081987 Analytical (15 ) 0.000000 0.037684 0.062628 0.076831 0.081440 Villa et al. [1 ] 0.000000 0.039551 0.066203 0.081619 0.086668
