Answer to Question #275459 in Chemical Engineering for Bokul

Question

d²C/ dy²= [dC²/dȳ². (1/√(y)) + dC/dȳ .d/dȳ (1/√(y))]

 

please try to bring the equation a modified Bessel Equation of appropriate order. Identify the the order and write down the analytical solution for the concentration distribution C= f (ȳ) and thus C= f(z) using modified Bessel Functions.

 

The values are given if you need it.

 

reaction rate constant (k) =0.05 cm/s

Diffusion coefficient of ‘A’ (D) = 0.01 cm2/s

The cavity opening at the top (a)= 0.1 cm

Concentration of ‘A’ at z=0 (C₀)= 1 mol/cm3

Length (L)= 1 cm

Answer 1

Graph with solution is given below: