简介:采用变物性格子Boltzmann通量求解器(VPLBFS)研究了Rayleigh-Benard热对流.以超临界流体为例,采用VPLBFS的简化形式和标准形式分别得到了通常关注的基于Boussinesq假设的常物性解,只考虑部分物性变化的基于partialBoussinesq假设的PBA解,以及考虑流体全部物性变化的变物性解,分析了non-Boussinesq效应对Rayleigh-B6nard热对流的影响,讨论了不同温差条件下的non-Boussinesq效应.研究结果表明:non-Boussinesq效应对超临界流体的Rayleigh-B6nard热对流有非常显著的抑制作用,论证了在研究热对流时考虑流体全部物性变化的必要性.
简介:Aclassofperiodicinitialvalueproblemsfortwo-dimensionalNewton-Boussinesqequationsareinvestigatedinthispaper.TheNewton-Boussinesqequationsareturnedintotheequivalentintegralequations.Withiterationmethods,thelocalexistenceofthesolutionsisobtained.Usingthemethodofaprioriestimates,theglobalexistenceofthesolutionisproved.
简介:Anewanalyticalmodelwasdevelopedtopredictthegravitywavedrag(GWD)inducedbyanisolated3-dimensionalmountain,overwhichastratified,non-rotatingnon-Boussinesqshearedflowisimpinged.Themodelisconfinedtosmallamplitudemotionandassumestheambientvelocityvaryingslowlywithheight.ThemodifiedTaylor-GoldsteinequationwithvariablecoefficientsissolvedwithaWentzel-Kramers-Brillouin(WKB)approximation,formallyvalidathighRichardsonnumbers.WiththisWKBsolution,genericformulaeofsecondorderaccuracy,fortheGWDandsurfacepressureperturbation(bothforhydrostaticandnon-hydrostaticflow)arepresented,enablingarigoroustreatmentontheeffectsbyverticalvariationsinwindprofiles.Inanidealtesttothecircularbell-shapedmountain,itwasfoundthatwhenthewindislinearlysheared,thattheGWDdecreasesastheRichardsonnumberdecreases.However,theGWDforaforwardshearedwind(windincreaseswithheight)decreasesalwaysfasterthanthatforthebackwardshearedwind(winddeceaseswithheight).Thisdifferenceisevidentwheneverthemodelishydrostaticornot.