DEFINITIONS Exergy ( Availability energy):- The maximum portion of energy which can be converted into useful work by reversible that can be obtained from a system at a given state in a given environment; in other words, the most work you can get out of a system Dead State:- when a system is in thermodynamic equilibrium with the environment, denoted by a subscript zero; at this point no more work can be done
Unavailable energy:- It is that portion of energy which can not be converted into work even by reversible process which reduces the system in a state of equilibrium(dead state) Available energy:- It is theoretical maximum amount of work which can be obtained from a system at any state. High grade energy :- It is energy that can be completely converted into shaft work without any loss. Example:- mechanical work, electrical energy,water power, wind power. Low grade energy :- It is energy of which only a certain portion can be converted into mechanical work. Example :- heat thermal energy, heat from nuclear fision or fusion, heat from combustion of fuels like coal, wood, oil, etc..
= T env 1 - THTH Infinite heat source at T H K Available energy refered to an infinite heat source Environment at T env K η thermal = W out Q in W out Q in Q out η Carnot = W max Q in Exergy = W max = η Carnot Q in = Q in T env 1 - THTH
EXERGY OF A FLOW STREAM Flow Exergy Energy needed to maintain flow in pipe w flow = Pvwhere v is specific volume Exergy of flow work = exergy of boundary work in excess of work done against atom pressure (P 0 ) to displace it by a volume v, so x = Pv-P 0 v = (P-P 0 )v
EXERGY OF A FLOW STREAM Giving the flow exergy the symbol ψ Flow exergy :- Ψ=(h-h 0 )-T 0 (s-s 0 )+½Vel 2 +gz Change in flow exergy from state 1 to state 2 is :- Δψ = (h 2 -h 1 )-T 0 (s 2 -s 1 )+ ½(Vel 2 2 – Vel 1 2 ) +g(z 2 -z 1 )
The exergy of an isolated system during a process always decreases or, in the limiting case of a reversible process, remains constant. This is known as the decrease of exergy principle and is expressed as The Decrease of Exergy Principle
Irreversibilities such as friction, mixing, chemical reactions, heat transfer through finite temperature difference, unrestrained expansion, non-quasi- equilibrium compression, or expansion always generate entropy, and anything that generates entropy always destroys exergy. The exergy destroyed is proportional to the entropy generated as expressed as Exergy Destruction
The decrease of exergy principle does not imply that the exergy of a system cannot increase. The exergy change of a system can be positive or negative during a process, but exergy destroyed cannot be negative. The decrease of exergy principle can be summarized as follows: