The term (u -T.S) in deriving the maximum work done during the nonflow reversible process is known as

Explanation

The Gibb's Helmholtz Function is given by:

F = U - TS

The above equation represents closed system work.

The change in Gibb's Helmholtz function:

dF = dU - TdS - SdT

From TdS equation,

TdS = dU + pdV

⇒  dU - TdS = -pdV

So, dF = -pdV - SdT

The Gibbs Helmholtz equation is a type of thermodynamic equation that is used for determining the changes in the Gibbs energy of a system as a function of the temperature.
The equation in partial differential form is:

\(\frac{{\partial \left( {\frac{{\rm{G}}}{{\rm{T}}}} \right)}}{{\partial {\rm{T}}}} = \; - \frac{H}{{{T^2}}}\)

where H = Enthalpy, G = Gibbs free energy, T = Absolute temperature.