Diffusion-convection problems wherein the species diffusivity is concentration-dependent often provide a differential equation of the following general form: dC where Cis the dimensionless concentration and z is the dimensionless distance. Assume vL/D, is a constant. Assume that C=1 at z= 0, and C=0 when z is very large. Solve the above differential equation and provide an exact analytical equation for C=fA2).

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Problem #1:
Diffusion-convection problems wherein the species diffusivity is concentration-dependent
often provide a differential equation of the following general form:
[vLj dC
+
[DJ dz
d [dc
where Cis the dimensionless concentration and z is the dimensionless distance. Assume VLID, is
a constant. Assume that C=1 at z = 0, and C=0 when z is very large. Solve the above
differential equation and provide an exact analytical equation for C=ft).
Transcribed Image Text:Problem #1: Diffusion-convection problems wherein the species diffusivity is concentration-dependent often provide a differential equation of the following general form: [vLj dC + [DJ dz d [dc where Cis the dimensionless concentration and z is the dimensionless distance. Assume VLID, is a constant. Assume that C=1 at z = 0, and C=0 when z is very large. Solve the above differential equation and provide an exact analytical equation for C=ft).
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