NOTATION= concentration in fluid, mol/m3 = inlet Concentration in fluid, mol/m3 = longitudinal dispersion coefficient, m2/s = diffusivity in solid phase, m2/s = volume equilibrium constant, m3/m3 = mass transfer coefficient, m/s= volume averaged concentration in particles, mol/m3 = internal concentration in particles, mol/m3 = q, (R,z,t), mol/m3 = particle diameter, m = R/3kf, film resistance, s = radial distance from center of spherical particle, m s = Laplace transform variable t = time, s T u x = variable of integration z = C/Co, dimensionless concentration in fluid = average linear flow velocity, m/s = distance in flow direction, m Greek Letters a,, =n?rlR,s-' E = porosity, m3/m3 X = reaction rate constant, s-1