ch 9_radiative transfer in participating media

ch 9_radiative transfer in participating media

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时间:2019-08-04

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1、9RadiativeTransferinParticipatingMediaInthelastchapter,surface(orexternal)radiationexchangebetweenthewallsofanenclosurewasconsidered.Animportantassumptionassociatedwithexternalradiativeheattransferisthattheenclosureeitherboundsavacuumorisfilledwithnon-participatingmedia.Amediumisconsidere

2、dparticipatinginradiativethermaltransferifitabsorbs,emits,orscattersathermalrayasittravelsthroughthemedium.Radiativeheattransferinaparticipatingmediumisalsoreferredtoasinternalradiation,whichoccursinmanyengineeringthermalsystems.Anexampleofinternalradiationisahightemperaturecombustiongasm

3、ixture,whichisknowntoabsorb,emit,andscatterthethermalenergy.Anotherexampleisthesemitransparentmeltfromwhichopticalsinglecrystalsarepulledout.Fortheproblemsofradiativetransferinaparticipatingmedium,theabsorption,emissionandscatteringeffectsmustbeconsideredinordertoprovideanaccurateestimate

4、ofthermalenergytransferinthesystem.Thermalradiationinparticipatingmediaisgovernedbytheradiativetransferequation,whichdescribestheenergybalancealongathermalray.Owingtotheimportanceofinternalradiationtransferinthermalengineeringapplications,manynumericaltechniqueshavebeendevelopedtopredictt

5、hephenomenaandtoassistinthermaldesignsinvolvingradiativeheattransfer.Thewidelyusednumericalalgorithmsincludethefinitedifference,discreteordinates,MonteCarlo,zonalmethod,andfiniteelementmethodsaswellasotherapproximationmethodssuchasexponentialkernelapproximation,directnumericalintegration,

6、reductionoftheintegralorder,andtheYLXmethod.Thesemethodshavebeendocumentedindetailintworecentmonographsonradiationheattransfer[1,2].ThischapterdiscussesthediscontinuousGalerkinfiniteelementmethodforthesolutionofthermalradiativetransferproblemsinvolvingparticipatingmedia.Theapplicationofth

7、ediscontinuousmethodtothesolutionoftheinternalradiativeheattransferproblemshasattractedattentiononlyrecently,andtheliteratureisstillexpanding.Itstartswiththedifferential-integralequationgoverningthetransferoftheradiationintensityandtheboundaryconditionsrequiredforth

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