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thermodynamics, an isentropic process or isoentropic process
(ισον = "equal" (Greek); εντροπία entropy = "disorder"(Greek))
is one in which, for purposes of engineering analysis, one may
assume that the process takes place from initiation to
completion without an increase or decrease in the entropy of the
system, i.e., the entropy of the system remains constant.[1][2]
It can be proven that any reversible adiabatic process is an
isentropic process. A simple more common definition of
isentropic would be one that produces "No change in entropy".
The second law of thermodynamics states that,  TdS \ge \delta Q
where \delta Q is the amount of energy the system gains by
heating, T is the temperature of the system, and dS is the
change in entropy. The equal sign will hold for a reversible
process. For a reversible isentropic process, there is no
transfer of heat energy and therefore the process