Mass Transfer Processes: Modeling, Computations, and Design

Chapter 2. Examples of Differential (1-D) Balances

Learning Objectives

After completing this chapter, you will be able to:

• Develop differential models for problems in mass transfer where the concentration varies along only one spatial dimension.

• Derive differential equations for the species concentration by use of the conservation law followed by Fick’s law in Cartesian coordinates.

• Derive the model equations in cylindrical and spherical coordinates and understand the differences arising due to geometry.

• State the equation in vector form and be able to use it in any coordinate system.

• Solve some simpler problems, especially those involving mass transfer with reaction, and examine the property of the solution.

This chapter illustrates the ...