where m is the mass flow rate and the subscript in stands for inlet and out for outlet, E n is the rate of net energy transfer in, Eout is the rate of net energy transfer out by heat, work, and mass, Q = Qnet n = Qn — Qout is the rate of net heat input, W = Wnett out = Wout — Win is the rate of net work output, and h is the enthalpy per unit mass.
The general exergy balance can be expressed in the rate form as
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