a general expression for the correlation of rates of Transfer and Other Phenomena

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1、AGeneralExpressionfortheCorrelationofRatesofTransferandOtherPhenomenaTheexpressionY=(1+Zn)l;nwhereYandZareexpressedintermsofthesolutionsforasymptoticallylargeandsmallvaluesoftheindependentvariableisshowntoberemarkablysuccessfulincorrelatingratesoftransferforproc

2、esseswhichvaryuniformlybetweentheselimitingcases.Thearbi-S.W.CHURCHILLtraryexponentncanbeevaluatedsimplyfromplotsofYversusZandY/ZandR.USAGIversus1/Z.Theexpressionisquiteinsensitivetothechoiceofnandtheclosestintegralvaluecanbechosenforsimplicity.Theprocessofcorre

3、la-SchoolofChemicalEngineeringtioncanberepeatedforadditionalvariablesinseries.Illustrativeapplica-UniversityofPennsylvaniaPhiladelphia,Pennsylvania19104tionsarepresentedonlyforflow,conduction,forcedconvection,andfreeconvection,buttheexpressionandprocedureareappl

4、icabletoanyphe-nomenonwhichvariesuniformlybetweenknown,limitingsolutions..Thelimitingsolutionsforlargeandsmallvaluesofthemethodofevaluatingtheconstanthasnotbeenproposed.independentvariables,andparameterssuchastheReyn-Thegeneralapplicabilityoftheequationandthepro

5、-oldsnumber,thePrandtlnumber,andtimeareknownforcedureofcorrelationareillustratedforanumberofproc-manytransferprocessessuchaslaminarandturbulentessesofflowandheattransfer.Theexpressionandpro-flowthroughporousmedia,laminarforcedconvection,cedureappearhowevertobeap

6、plicabletoanyphenom-andthermalconduction.Solutionsforintermediatecasesenonwhichvariesuniformlybetweenknown,limitingaregenerallynotinclosedform.solutions.TheuseofasimpleequationcontainingonearbitraryTheproposedexpressionisusefulforevaluatingasconstantisproposedfo

7、rinterpolationbetweentheselim-wella;summarizingexperimentaldataandvaluesob-itingsolutions.Theconstantcanbeevaluatedfromoneormoreexperimentalortheoreticalvalues.Theequationtainedfromcomputersolutions.Itisconvenientforde-itselfhasbeenusedpreviouslyforcorrelation,b

8、utitssignpurposes,particularlysinceallofthecorrelationsgeneralutilityhasnotbeenrecognizedandasystematichavethesameform.CONCLUSIONSANDSIGNIFICANCETheequationY=(1+Zn)l/