Stochastic Nano/Micro Fluid Dynamics

Stochastic Nano/Micro Fluid Dynamics

Stochastic Nano/Micro Fluid Dynamics

ProjectOfHanasakiLab

妸傜偐偱側偄儔儞僟儉偝偵枮偪偨棳摦尰徾傪妶偐偡

 

棳懱傕尨巕傗暘巕偐傜峔惉偝傟偰偄偰丆偦偺偙偲偑僫僲丒儅僀僋儘棳摦尰徾偱戝偒側栶妱傪扴偄傑偡丏偦偺嵟偨傞傕偺偑Brown塣摦偱偡丏Brown塣摦偼丆偐偮偰丆A. Einstein傗J. Perrin偵傛傝暘巕榑偺徹柧偵巊傢傟傑偟偨丏旝彫側宯偱儔儞僟儉側Brown塣摦偑廳梫偵側傞偺偼丆拞怱嬌尷掕棟傗戝悢偺朄懃傪巚偄婲偙偣偽丆晛曊揑偱婎慴揑側帠幚偱偁傞偙偲偑傢偐傝傑偡丏壗傜偐偺暯嬒揑側椡妛検傪抦傝偨偄応崌偵丆應掕傪孞傝曉偟偰昗弨岆嵎偑僒儞僾儖悢偺亅1/2忔偱梷偊傜傟傞偙偲傪婜懸偡傞偺偼丆拞怱嬌尷掕棟偑崻嫆偵側偭偰偄傑偡丏媡偵丆懳徾傪峔惉偡傞暘巕偺屄悢偑柍尷戝偲尒側偣側偄応崌丆偦偺僒僀僘偑彫偝偄傎偳椡妛検偺暯嬒偵懳偡傞梙傜偓偑戝偒偔側傝傑偡丏偮傑傝丆擬梙傜偓偺岠壥偑戝偒偔側傞傢偗偱偡丏

 

儅僋儘側宯傪埫栙偺慜採偲偡傞捠忢偺Navier-Stokes曽掱幃偵偼擬梙傜偓偺岠壥偼壛枴偝傟偰偄側偄偺偱丆偦偺慜採偱偼梊尒偱偒側偄僫僲丒儅僀僋儘棳摦尰徾偼枃嫇偵壣偑偁傝傑偣傫丏偙傟偼丆帠慜偺抦尒柍偟偵壗傜偐偺妋棪暘晍偺暯嬒抣傪抦偭偰傕丆偦偺暘晍偺昗弨曃嵎偼晄柧偱偁傞偺偲帡偰偄傑偡丏擬梙傜偓偺偁傞宯偱塣摦曽掱幃偵憡摉偡傞偺偼Langevin曽掱幃偱偡偑丆巹払偼偦偺慜採偲側傞乽廃埻棳懱傪峔惉偡傞暘巕偺幙検偵斾傋偰拲栚偡傞棻巕偺幙検偑廩暘偵戝偒偄乿偲偄偆忦審傪枮偨偝側偄応柺偵偍偗傞Brown塣摦偺摿挜傪柧傜偐偵偟傑偟偨丏棳懱拞偺暔懱偺棳摦掞峈偼棳懱椡妛偺婎慴揑栤戣偱偡偑丆偦偺暔懱偲偟偰悈拞偺Cl-僀僆儞1屄傪埖偆応崌側偳偼丆暘巕儗儀儖夝憸搙傪婎偵偟偰慹帇壔偑昁梫偱偡丏

 

儅僋儘側棳傟偺柍偄悈拞偱丆揹婥塲摦偺傛偆偵Cl-僀僆儞傪堦掕偺奜椡偱塣傇偲丆Brown塣摦偟側偑傜棳摦掞峈傪庴偗傑偡丏偙偺応崌丆帪乆崗乆擬梙摦椡偵懳偡傞僼傿乕僪僶僢僋偺奜椡傕嶌梡偝偣偰尩枾偵Cl-僀僆儞傪堦掕懍搙偱塣傫偩応崌偲偼堎側傞掞峈椡偑嶌梡偡傞偺偱偡丏偙傟偼丆Cl-僀僆儞偺姷惈岠壥偺帪掕悢偑廃埻棳懱偱偁傞悈暘巕偲戝嵎側偄偙偲偱惗偠傞尰徾偱偡丏偙偺傛偆偵愢柧偡傞偲丆墳梡媄弍偲墦偄嫍棧偑偁傞偐偺傛偆側愭擖娤傪帩偨傟傞偐傕偟傟傑偣傫偑丆椺偊偽丆棳摦掞峈掅尭媄弍偵娭楢偟偨廳梫惈傕偁傝傑偡丏棳摦偡傞暔懱偺昞柺偵帺屓慻怐壔扨暘巕枌傪僐乕僥傿儞僌偟偨傝丆摿掕偺暘巕傪昞柺偐傜攔弌偟偨傝偡傞応崌丆偦偺暘巕偺崉惈側偳傕峫椂偟偰媄弍奐敪偡傞昁梫惈傪帵嵈偟偰偄傞偐傜偱偡丏

 

棳懱暘巕偺僒僀僘偵斾傋偰棳楬宎偑廩暘偵戝偒偔側偄忬嫷偱偼丆暘巕娫憡屳嶌梡偺曐懚椡傕廳梫偱偡丏椺偊偽丆巹払偼2006擭帪揰偱丆僇乕儃儞僫僲僠儏乕僽撪偱悈偑暘巕廤抍峔憿傪宍惉偟偦偺棳傟応偑Poiseuille棳傛傝僾儔僌僼儘乕偵嬤偄偙偲傪梊尒偡傞棟榑揑側尋媶寢壥傪曬崘偟丆偦傟偵懳墳偡傞幚尡偑撈棫偵摨偠擭偵曬崘偝傟傑偟偨丏偦偟偰巹払偼丆棳懱暘巕偑棳楬偵懳偟偰廩暘偵彫偝偄応崌偱傕丆Brown塣摦偺塭嬁傪庴偗傞僫僲棻巕偑丆偦偺棻宎偲摨掱搙偺暆乮枖偼崅偝乯傪帩偮僫僲棳楬傪捠夁偡傞嵺偵偼丆Reynolds悢傕Stokes悢傕旝彫偱偁傝側偑傜廃埻棳懱偲桝憲尰徾偵嵎堎偑惗偠傞偙偲傪帵偟丆偙傟偼僫僲棳楬幚尡偱嬤擭曬崘偝傟偰偄傞尰徾偺愢柧偵傕側傝傑偟偨丏

 

Brown塣摦偵拝栚偡傞偙偲偱丆幚尡寁應懁偵傕戝偒側恑曕偑惗傑傟傑偡丏棳懍偺応傪昡壙偡傞Particle Tracking/Image Velocimetry (PTV/PIV)偺挿偄楌巎偵偍偄偰Brown塣摦偼幾杺幰埖偄傪庴偗偰偒傑偟偨偑丆僜僼僩儅僞乕傗僶僀僆娭楢偱寀岝娤嶡媄弍奐敪偲嫟偵拲栚偝傟偰偒偨Single Particle Tracking乮SPT乯偺暥柆偱偼丆PTV偲摨偠傛偆偵尠旝嬀摦夋偐傜棻巕偺婳愓孮傪拪弌偟偨屻丆Brown塣摦偺摿挜偱偁傞奼嶶學悢偵傕拲栚偟傑偡丏偟偐偟丆偮偄嵟嬤傑偱丆崅擹搙偱旕愼怓偺忬嫷偵偍偄偰奼嶶學悢偺乽応乿傪寁應偟偨椺偼偁傝傑偣傫偱偟偨丏偙傟偵懳偟丆壴嶈偼Particle Image Diffusometry 乮PID乯敪柧偟丆偦偺墳梡偲偟偰2019擭偵悽奅偱弶傔偰丆桳婡暘巕寢徎壔慜偺慜嬱懱嫇摦偺壜帇壔偵惉岟偟傑偟偨

 

儈僋儘側椡妛摿惈傪儅僋儘側婡擻傊偲偮側偖僇僊偼丆尨巕儗儀儖偺摦偒傪妸傜偐偵婰弎偡傞Newton偺塣摦曽掱幃偲丆楢懕懱偲尒側偟偨棳懱偺摦偒傪妸傜偐偵婰弎偡傞Navier-Stokes曽掱幃偲偺娫偺丆儊僝僗働乕儖椞堟偵偁傝傑偡丏偙偙偱偼丆妸傜偐偱側偄尰徾偺儔儞僟儉偝偐傜乽栘傪尒偰怷傪尒偢乿偵側傜側偄傛偆偵丆傛傝嵶偐偄帪嬻娫夝憸搙偺朙晉側忣曬傪廤栺偡傞乽慹帇壔乿偺帇揰偑昁梫偵側傝傑偡丏慹帇壔偼丆慹帇壔暘巕摦椡妛朄偵尷傜偢丆忋婰偺SPT傗PID側偳偺尠旝嬀摦夋僨乕僞夝愅偲偟偰傕拝庤偱偒傑偡丏巹払偼丆暔幙偑棳懱偲偟偰懚嵼偡傞壏搙偱昁慠揑側尋媶懳徾偦傟帺懱偑帵偡擬梙傜偓傪棟夝偟丆傓偟傠忬嫷偵墳偠偰妶偐偡愭嬱揑側帇揰偐傜僫僲丒儅僀僋儘棳摦尰徾傪尋媶偟偰偄傑偡丏



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