Inthispaper,b othe xperimentaltrialsand numericalsimulationsarep resented toi mproveo ur understanding of the heat transferw ithin granularpolymerbedsfors ystemsw ithand without shear.Bothamorphous polymer,polystyrene (PS), and asemi-crystalline polymer,high-density polyethylene (HDPE)ofvarying particle sizefrom 6mm to25mmwereexamined. The estimated effectivethermalconductivity datafrom the experimentaltrialswasfound byfittotwosimple semi-empiricalm odelsallowing readers toreadilyapproximatethe property based on porosity of the bed and solid thermalproperties.Discretep article simulations,i. e. DEM, wereused to recognizethe importanceo fh eatt ransport through the stagnantinterstitialg asphasei ncomparison top article-particle conduction. The results underscorethe importanceo fi ncluding aneffectivethermalconductivity forgranularsolidsin an extruderwhen using continuummodels.
1IntroductionManyoperationsin the field of polymerprocessing involvethe plastication of polymerparticulate. Fort hosep rocesses,production ratesand process stability arelargelydictated byhow effectiveheatcanbetransferred through the solids.Ironically, granularheattransferisrarelyacknowledged in the field,a nd asaresult,ispoorlyunderstood. Most modelsconsidering heat transferw ithin polymerprocessing technology,forexample extrusion and injection molding,treatthe granularmediumas acontinuum(aseitheranelasticplugorfluid) and usethe thermophysicalpropertiesof the solid polymerwithout thoughtfor the interstitialfluid present (Tadmorand Broyer,1972;Lindt, 1976). Indoing so,researchers canoverestimatethe heattransferratebyalmost anorderof magnitude. Experimentaland numericalstudiesin otherfieldsof engineering whichconsider granularmedia(metal,glass,c eramics,etc.) haveshownthat neglecting the interstitialf luid often leadst osignificantinaccuraciesin the predicted heattransferof the bulk systems (Yagi and Kunii,1957; Molerus,1997; Argentoand Bouvard,1996); onlyu nderextensivecompaction wherethe interstitialvoids become vanishinglysmall,canthe contribution of the intersti-tialf luid beconsidered insignificant.Whethert he interstitial fluid experiencessignificantmotion suchasthe caseofafluidized bed (Wirth,1995;Yusufe tal.,2005),orr emainsr elativelys tagnant (Vargasand McCarthy,2002)will alsoh avea dramaticinfluenceo nthe heatt ransferforagranulars ystem. Within continuummodeling,aneffectivethermalconductivity (Gonzo,2002; Kunii and Smith,1960;Kunii and Levenspiel, 1991;Bauer,1993)will improvethe accuracyof heattransfer problemsand generallycanbep rovided ass imple semi-empiricale xpressionsbased on the solid thermalp ropertiesand the porosity of the granularassembly.Severalsuche mpirical expressionswill bediscussed in thispaper.However,selecting among thesem odelst oreasonablyapproximatethe thermalcharacterof the granularmediarequires apriori knowledge of the system and considering the complex and dynamicstateofthe particle bed in anextruderduring densification and sintering,itmaybeunreasonable toe xpectt hat anys uche xpression will besuitable ov...