International Scholarly Research Notices / 2013 / Article / Tab 1 / Research Article
Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors Table 1 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 0.073340 0.128200 0.162200 0.173700 Analytical (15 ) 0.000000 0.070005 0.121817 0.153614 0.164329 Villa et al. [1 ] 0.000000 0.074132 0.129628 0.164013 0.175663 2 0.4
Numerical 0.000000 0.068130 0.118500 0.149500 0.160000 Analytical (15 ) 0.000000 0.066522 0.115447 0.145359 0.155421 Villa et al. [1 ] 0.000000 0.068637 0.119455 0.150699 0.161243 1 0.2
Numerical 0.000000 0.060340 0.104200 0.130700 0.139700 Analytical (15 ) 0.000000 0.060165 0.103798 0.130241 0.139099 Villa et al. [1 ] 0.000000 0.060524 0.104481 0.131152 0.140093 0.5 0.1
Numerical 0.000000 0.057310 0.098580 0.123500 0.131804 Analytical (15 ) 0.000000 0.057319 0.098578 0.123460 0.131775 Villa et al. [1 ] 0.000000 0.057394 0.098722 0.123652 0.131985 0.25 0.05
Numerical 0.000000 0.055960 0.096080 0.120200 0.128300 Analytical (15 ) 0.000000 0.055977 0.096116 0.120262 0.128321 Villa et al. [1 ] 0.000000 0.055994 0.096149 0.120306 0.128369
