Absorption in a Falling Thin Liquid Film at Low Reynolds Numbers

collocation points

10

x

0.5

Consider the absorption without chemical reaction of a gaseous species

A

in a thin liquid film of a nonvolatile compound

B

flowing vertically at low Reynolds numbers.

The governing dimensionless equation is:

3

2

1-

2

y



∂c

∂x

=

2

∂

c

∂

2

y

,

with the initial and boundary conditions

x=0

,

c=0

,

y=0

,

∂c

∂y

=0

,

y=1

,

c=1

,

where

c

is the concentration of compound

A

, and

x

and

y

are the positions.

The Demonstration plots the solution

c(y)

for any value of

x

in the interval

[0,1]

. You can vary the values of

x

as well as the number of Chebyshev collocation points,

N+1

.