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
0.00.250.50.751.00

2.50.5 Numerical0.0000000.0733400.1282000.1622000.173700
Analytical (15)0.0000000.0700050.1218170.1536140.164329
Villa et al. [1]0.0000000.0741320.1296280.1640130.175663
20.4 Numerical0.0000000.0681300.1185000.1495000.160000
Analytical (15)0.0000000.0665220.1154470.1453590.155421
Villa et al. [1]0.0000000.0686370.1194550.1506990.161243
10.2 Numerical0.0000000.0603400.1042000.1307000.139700
Analytical (15)0.0000000.0601650.1037980.1302410.139099
Villa et al. [1]0.0000000.0605240.1044810.1311520.140093
0.50.1 Numerical0.0000000.0573100.0985800.1235000.131804
Analytical (15)0.0000000.0573190.0985780.1234600.131775
Villa et al. [1]0.0000000.0573940.0987220.1236520.131985
0.250.05 Numerical0.0000000.0559600.0960800.1202000.128300
Analytical (15)0.0000000.0559770.0961160.1202620.128321
Villa et al. [1]0.0000000.0559940.0961490.1203060.128369