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1、Lebensm.-Wiss.u.-Technol.,28.38-42(1995~MathematicalModelforComputerSimulationofMoistureTransferinMultiplePackageSystemsG.C.P.Rangarao,U.V.Chetana,andP.VeerrajuCentreforFoodPackaging.CentralFoodTechnologicalResearchInstitute,Mysore570013(India)(ReceivedMay24.1994,acceptedJuly2
2、7.1994)Amathematicalmodelwasdevelopedformoisturetran,~ferillnudtiplepackagesystemswhereindifferentfoodproductsorcomponentsarepackedinindividualprimal3'packagesandfitrtherunitizedinasecondaO"package.TileGuggenhein~-Anderson-deBoer(GAB)equationformoisturesorptionisothermwasdiffe
3、rentiatedwithrespecttotimeandincorporatedinthegeneralizedmoisturetransportequationforthemultiplepackagesystemresultingillasystem~[simultaneous~6rstorderdifferentialequationsrelatingchangesinwateractivitiesoftheproductstostoragetittle.TheseequationsaresolvedhvtheRunge-Kttttamet
4、hod,andthecorresponditlgmoisturechangesintileproductsareobtainedbyusingtheoriginalisothermequations.Thecomputerprogrammedevelopedontilebasisofthemodelwasusedtosimulatemoisturechangesina2-componentmultiplepackagesystem~)[doughnutmix.Thepredictionswereincloseagreementwithtileeap
5、erimentalvalues.IntroductionInallthesemultiplepackagesystems,thepackagingvari-ablesareverymanycomparedtothoseofasinglepackage,Lossorgainofmoistureplaysacriticalroleindecidingtheanditcanbeverytimeconsumingandexpensivetocarryqualityandshelf-lifeoffoods.Moisturetransferinaoutshel
6、l-lifetestsbasedonmoisturechangesunderapackagedfooddependsonthewateractivityofthefood,varietyofpackagingandenvironmentalconditions.Hence,temperatureandhumidityconditionsofstorage,andthecomputersimulationisthealternativeapproachforpredic-permeabilityofthepackagetowatervapour.Th
7、erelation-tionofmoisturechangesandshelf-lifeandalsofortheshipsbetweenmoisturesorptionpropertiesoffoods,perme-designofanoptimumpackagingsystemformoisture-abilityofthefilmtomoisture,andshelf-lifewerebroughtsensitivefoods.Hirataetal.(6,7)reportedamethodforoutbyHeiss(1),whichwereu
8、sedinpredictingmoisturepredictionofmoisturechangesindried,roa
