Mechanical Work at a Boundary and its Associated Exergy Transfer
This paper is a didactic discussion of mechanical work at a boundary from the standpoint of exergy analysis. It is shown that the use of the material velocity vector and the mechanical stress tensor of continuum mechanics allows the magnitude and direction of the energy flux vector at a point to be determined unambiguously. Hence, the amount and direction of the energy transfer at a boundary can be established. This methodology is then extended to the calculation of the associated exergy flux vector and the exergy transfer at the boundary. It is noted that the exergy transfer is not always equal to the energy transfer as mechanical work. In general, the exergy transfer also involves a term consisting of the product of the environmental pressure and a volume displacement or transfer.