Table 1: Approximate expressions of concentration of substrate and current under the boundary conditions (2a) and (2b).

ConditionsConcentrations and currentsFigures

For very small values of 𝛼 √ 𝑒 = s i n h ( 𝛾 𝜌 ) √ 𝜌 s i n h ( 𝛾 ) (5)Figures 2(a)2(c)
√ πœ“ = √ 𝛾 c o t h ( 𝛾 ) βˆ’ 1 (6)Figure 4(a)

For large values of 𝛼 and all value of 𝛾 𝑒 = 1 + 𝛾 ( 1 2 𝛼 2 βˆ’ 6 𝛼 βˆ’ 𝛾 ) 3 6 𝛼 3 ( 𝜌 2 𝛾 βˆ’ 1 ) + 2 1 2 0 𝛼 3 ( 𝜌 4 βˆ’ 1 ) (8)Figure 3
πœ“ = 𝛾 ( 3 0 𝛼 2 βˆ’ 1 5 𝛼 βˆ’ 𝛾 ) 4 5 𝛼 3 (9)Figures 4(b) and 4(c)

For small and medium values of 𝛼 and all values of 𝛾 √ 𝑒 = s i n h ( 𝛾 𝜌 ) √ 𝜌 s i n h ( βˆ’ √ 𝛾 ) 𝛼 𝛾 s i n h ( 𝛾 𝜌 ) 𝜌 s i n h 3 ( √ + 𝛾 ) 𝛼 𝛾 s i n h 2 ( √ 𝛾 ) (10)Figure 2
√ πœ“ = √ 𝛾 c o t h ( 𝛾 ) βˆ’ 1 + 𝛼 𝛾 c o s e c h 2 ( √ √ 𝛾 ) ( √ 𝛾 c o t h ( 𝛾 ) βˆ’ 1 ) (11)Figures 4(a) and 4(c)