# Absorption in a Falling Thin Liquid Film at Low Reynolds Numbers

Absorption in a Falling Thin Liquid Film at Low Reynolds Numbers

Consider the absorption without chemical reaction of a gaseous species in a thin liquid film of a nonvolatile compound flowing vertically at low Reynolds numbers.

A

B

The governing dimensionless equation is:

3

2

2

y

∂c

∂x

2

∂

∂

2

y

with the initial and boundary conditions

x=0

c=0

y=0

∂c

∂y

y=1

c=1

where is the concentration of compound , and and are the positions.

c

A

x

y

The Demonstration plots the solution for any value of in the interval . You can vary the values of as well as the number of Chebyshev collocation points, .

c(y)

x

[0,1]

x

N+1