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CHAPTER 6

CONSERVATION EQUATIONS

STEPHEN WHITAKER
University of California at Davis, Davis, CA, USA

6.1 INTRODUCTION

In this section, the conservation equations for mass, momentum and energy of mul-
ticomponent systems are presented from the continuum point of view. A key concept
associated with the continuum approach to multicomponent transport phenomena is
the species body illustrated in Figure 6.1.
There we have illustrated the volume, V A (t), occupied by species A in a binary
system containing species A and B. For single component transport phenomena, a
motion is described by

r = r(R, t) (6.1)

V A (t )

Species A

Species B
V (t =0)
A
Figure 6.1. Motion of a species body
71
C. Ho and S. Webb (eds.), Gas Transport in Porous Media, 71–120.
© 2006 Springer.