Unsteady-State Diffusion, Convection, and Reaction in a Fluid Film

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Consider a first-order irreversible reaction in a homogeneous phase , with reaction rate .


Unsteady-state diffusion, convection, and chemical reaction in a fluid film (gas or liquid) obeys the following PDE:


where is the bulk flow velocity and is the diffusion coefficient of through the stagnant nondiffusing . The boundary conditions are

at ,

at ,

at .

This Demonstration plots the concentration profile of versus time and position in the fluid film for various values of the bulk flow velocity, diffusion coefficient and reaction rate constant.

You can try the following particular cases of interest:

: reaction and convection without diffusion

: diffusion and convection without reaction

: diffusion and reaction without convection


Contributed by: Housam Binous (March 2011)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.