Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors

Table 6

Comparison of our effectiveness factors ((19), (24), and (29)), and Villa et al. [1] when 𝜙=0.5.

Cases	𝑐	𝑑	Effectiveness factors (𝜂)
			Villa et al. [1]	Our results
Case 1(𝑚=0,𝑞=0)	2.5	0.5	1.3195	1.2526
	2	0.4	1.2294	1.1952
	1	0.2	1.0961	1.0903
	0.5	0.1	1.0446	1.0434
	0.25	0.05	1.0215	1.0213
	−2.5	−0.5	0.8142	0.8280
	−5	−0.5	0.7461	0.7157
	−7.5	−0.5	0.6797	0.6360
	−4	−0.2	0.7827	0.7592
	−5	−0.2	0.7493	0.7193
Case 2(𝑚=1,𝑞=0)	2.0	0.4	1.0820	1.0603
	1.01	0.2	(𝑐=1) 0.9940	0.9890
	0.5	0.1	0.9572	0.9564
	0.25	0.05	0.9403	0.9401
	0.1	0.02	0.9306	0.9305
	0.01	0.002	0.9249	0.9249
	0.001	0.0002	0.9243	0.9242
	−0.3	−0.5	0.9059	0.9057
	−0.5	−0.5	0.8944	0.8937
	−1.0	−0.5	0.8676	0.8653
	−1.5	−0.2	0.8435	0.8389
	−2.0	−0.2	0.8214	0.8142
Case 3(𝑚=1,𝑞=1)	1.99	0.4	(𝑐=2) 0.9991	0.9678
	1.0	0.2	0.9793	0.9168
	0.5	0.1	0.9699	0.8910
	0.25	0.05	0.9653	0.8783
	0.1	0.02	0.9626	0.8708
	0.01	0.002	0.9609	0.8663
	0.001	0.0002	0.9608	0.8658