International Scholarly Research Notices / 2013 / Article / Tab 4 / Research Article
Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors Table 4 Comparison of our analytical expression of concentration profiles
with numerical results and Villa et al. [
1 ] results corresponding to Case
2 , for
, and
, when
and
.
Dimensionless spatial coordinate
0.0 0.25 0.5 0.75 1.00 −0.3 −0.1
Numerical 0.000000 0.048975 0.083298 0.103610 0.110432 Analytical (20 ) 0.000000 0.048969 0.083271 0.103588 0.110316 Villa et al. [1 ] 0.000000 0.048985 0.083302 0.103629 0.110361 −0.5 −0.1
Numerical 0.000000 0.048943 0.082101 0.102105 0.108924 Analytical (20 ) 0.000000 0.048246 0.081952 0.101881 0.108475 Villa et al. [1 ] 0.000000 0.048288 0.082031 0.101987 0.108591 −1.0 −0.1
Numerical 0.000000 0.046786 0.078998 0.097997 0.104789 Analytical (20 ) 0.000000 0.046530 0.078818 0.097825 0.104101 Villa et al. [1 ] 0.000000 0.046673 0.079091 0.098191 0.104500 −1.5 −0.1
Numerical 0.000000 0.045001 0.076001 0.094255 0.100213 Analytical (20 ) 0.000000 0.044931 0.075901 0.094050 0.100030 Villa et al. [1 ] 0.000000 0.045214 0.076442 0.094775 0.100821 −2.0 −0.1
Numerical 0.000000 0.043678 0.073356 0.090611 0.096987 Analytical (20 ) 0.000000 0.043438 0.073179 0.090530 0.096234 Villa et al. [1 ] 0.000000 0.043888 0.074037 0.091678 0.097487
