The exergy balance over a control volume is
@Ex cv
@t
¼
X
j
1 À
T 0
T j
_
Q j À _
W shaft þ
X
i
_
m i fe i À
X
e
_
m e fe e À Ex
:
D
ð121Þ
Equations (199/111) and (121) are the fundamental equations for treatment of
engineering problems of reversible-like devices. They will be the core analytical
tools for the future textbook project. But, they are neither the governing equations
nor the equations of change.
10.4 Shaft Work Entails Mechanism for Its Fulfillment
There is a difference between the notion that every change obeys laws of physics
and chemistry, the notion of physical necessity, and the notion that laws of physics
and chemistry determine every change, i.e., determinism. The latter presupposes
that all laws of physics and chemistry are expressed in terms of governing equations. This is just not true as the aforementioned exception of the first and the
second laws of thermodynamics from the general rule noted in Footnote 1. Before
we consider the issue in the context of this exception, consider the critique of the
presupposition, or the objectivist philosophy, made by one of the most profound
thinkers of the twentieth century, Michael Polanyi.
Michael Polanyi (1891–1976)
Polanyi was interested in explaining the phenomena of life and living organisms,
and how they are different from nonliving things as explained by physics and
chemistry. Living organisms have often been explained in terms of machines, and
the fact that all machines are subject to physical necessity in accordance with laws of
physics and chemistry has been viewed as proof that living things too are governed
by the same laws. Polanyi, however, turned this argument on its head.
10.3 Energy Analysis and Exergy Analysis
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