简介:图G=(V,E)的k-赋权w是对图的每条边e∈E安排一个权值w(e)∈{1,2,…,k}.由边权导出图G的一个乘积顶点染色c,使得对图的每一个顶点v,c(v)=∏v∈ew(e)且对任意的边e=uv∈E,都有c(u)≠c(v).本文研究了Kn-e,Pm×Pn(m,n≥2)和Pm×Cn(m≥2)2-赋权乘积顶点染色的存在性.
简介:CharacteristicsofR22anditsnewalternativerefrigerantR290flowingthroughadiabaticcapillarytubesareinvestigatedbasedonthehomogeneousmodel.Extensiveflowvariablesalongtubelengthsuchaspressure,temperature,viscosity,velocity,Reynoldsnumber,frictionfactorandvaporqualityetcarecomparedbetweenthetwofluidsunderthesameoperatingcondition.Twocasesareconsidered,namely,eitherthesametubelengthorthesamemassflowrateasinletcondition.TheresultsshowthatthemassflowrateinthecapillarytubeofR290is40%lowerthanthatofR22duetothedifferencesofphysicalpropertiesbetweenthetwofluids.Further,aparametricanalysisisperformedanditappearsthateffectsofgeometricandthermodynamicparametersonmassflowrateofR290areweakerthanthatofR22.Whenthecondensingtemperatureisincreasedfrom40℃to50℃,themassflowrateforR22isincreasedby16%,whiletheincreasingrateforR290is13%.
简介:AhomogeneoustheoreticalmodelisdevelopedtopredicttheperformanceofR22andR290inadiabaticcapillarytubes.Themodelisbasedonconservationequationsofmass,momentumandenergy.Metastablebothliquidandtwo-phaseflowregionsareconsideredinthemodel.Inmetastabletwo-phaseregion,superheatedliquidisintroducedintothemetastablemixtureviscosityandtwomethodsarepresentedtoevaluateit.Themodelisvalidatedbycomparingthepredictedpressureandtemperatureprofileandmassflowratewithseveralinvestigators′experimentaldataofR22andoneofitsalternativesR290reportedinliterature.Allofthepredictedmassflowratesarewithin±8%ofmeasuredvalues.Comparisonsarealsomadebetweenthepresentmodelandotherinvestigators′modelsorsizingcorrelation.Themodelcanbeusedfordesignorsimulationcalculationofadiabaticcapillarytubes.