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1、Optimaloperatingconditionsandcon gurationsforhumidi cation-dehumidi cationdesalinationcyclesKaranH.Mistrya,AlexanderMitsosa,JohnH.LienhardVa,aDepartmentofMechanicalEngineering,MassachusettsInstituteofTechnology,Cambridge,MA,USAAbstractThisarticleappliesnonlinearprogrammingtechniquestooptimiz
2、ehumidi cation-dehu-midi cation(HD)desalinationcyclesforoperatingconditionsthatresultinmaximumgainedoutputratio(GOR).Closedairopenwateraswellasopenairopenwatercycles,eachwitheitheranairorawaterheater,wereconsideredinthisanalysis.NumericaloptimizationresultedinasubstantialincreaseinGORforallfo
3、urcycletypescomparedtopreviousbest-caseconditionsfoundusingheuristicstudies.TheGORofthecycleswasfoundtodecreasewithincreasingcomponentterminaltemperaturedi erence(TTD).Inaddition,di erentcyclesperformbestatdi erenttemperaturedi erences.Optimizationalsorevealedthatsomecounterintuitivedesigncon
4、 gurationscanresultinsuperiorperformanceundertheappropriateoperatingconditions.Keywords:humidi cation-dehumidi cation,desalination,numericaloptimization,nonlinearprogramming,cycleoptimizationCorrespondingauthorEmailaddress:lienhard@mit.edu(JohnH.LienhardV)PreprintsubmittedtoInternationalJour
5、nalofThermalScienceDecember18,2010NomenclatureRomanSymbolscpspeci cheatcapacityatconstantpressure[kJ/kg-K]fobjectivefunctiongvectorofconstraintsH_enthalpy
owrate[kW]hspeci centhalpy(perkgdryairformoistair,perkgwaterforliquidwater)[kJ/kg]hfgenthalpyofvaporization(perkgdistillate)[kJ/kg]Llength
6、ofheater[m]m_mass
owrate[kg/s]mrmass
owrateratio(feedwatertodryair)[-]ppressure[kPa]Q_heatinput[kW]inS_entropygenerationrate[kW/K]gensspeci centropy(perkgdryairformoistair,perkgwaterforliquidwater)[kJ/kg-K]sgenSpeci centropygeneration(perkgproduct)[kJ/kg-K]Ttemperaturedi erencefromheatersurf
7、aceto
uidbulktemperature[K]Ttemperature[K]xvectorofoptimizationvariablesxaxialcoordinatealonglengthofheater[m]GreekSymbolscomponente ectiveness[-]!humidityratio,massbasis[kgwatervapor/kgdryair]2SuperscriptsLlowerboundUupperboundSubscriptsadr
