University of Babylon /College Of Engineering Electrochemical Engineering Dept. Second Stage /Thermodynamics Expansion processes Turbine or expanders, the expansion of a gas in a nozzle to produce a high-velocity stream is a process that converts internal energy into kinetic energy. This kinetic energy is in turn converted into shaft work when the stream impinges on blades attached to a rotating shaft. Thus a turbine (or expander) consists of alternate sets of nozzles and rotating blades through which vapor or gas flows in a steady-state expansion process whose overall effect is the efficient. The fluid in the turbine undergoes an expansion process that is reversible as well as adiabatic, then the process is isentropic, and S 2 = S1 . H WS WS m H WS (isentropic ) (H ) S The shaft work │WS(isentropic) │ is the maximum that can be obtained from an adiabatic turbine with given inlet conditions and given discharge pressure. Actual turbines produce less work, because the actual expansion process is irreversible. We therefore define a turbine efficiency as: WS ( Actual ) WS (isentropic ) H (H ) S 1 University of Babylon /College Of Engineering Electrochemical Engineering Dept. Second Stage /Thermodynamics Adiabatic expansion process in a turbine or expander Throttling processes It is a steady flow process across a restriction with a resulting drop on pressure a typical example is the flow through a partially open valve (orifice) .This process occurs so rapidly and such a small space that there is no time and no large area foe such heat transfer, so it is assumed to be adiabatic. H Q W H 0 Joul-Thomson coefficient J T P H J If J positive, this means temperature dropping, and if J negative, this means temperature raises during throttling .process. 2 University of Babylon /College Of Engineering Electrochemical Engineering Dept. Second Stage /Thermodynamics Compression processes -Compressors The compression of gases may be accomplished in equipment with rotating blades (like a turbine operating in reverse) or in cylinders with reciprocating pistons. Rotary equipment is used for high-volume flow where the discharge pressure is not too high. For high pressures, reciprocating compressors are required. WS (isentropic ) WS ( Actual ) (H ) S H Adiabatic compression process 3 University of Babylon /College Of Engineering Electrochemical Engineering Dept. Second Stage /Thermodynamics -Pumps Liquids are usually moved by pumps, generally rotating equipment. The same equations apply to adiabatic pumps as to adiabatic compressors. For the calculation of (WS = AH) requires values of the enthalpy of compressed (sub cooled) liquids, and these are seldom available. The fundamental property relation, below which provides an alternative. For an isentropic process, dH VdP constant S WS (isentropi c) (H ) S P2 WS VdP P1 WS (isentropic ) (H ) S V ( P2 P1 ) also useful are the following equations dH C P V (1 )dP dS C p dT VdP T 4