Дәріс 7. Құбырдағы сұйықтың бірқалыпты турбулентті режимі.
Дәріс жоспары.
1. Турбулентті қозғалыстың маңыздылығы. Орташа жылдамдықтың қимадағы таралуы.
2. Құбырдағы тегеуірін шығыны. Қабырғаның құдір-бұдырлығы туралы түсінік. Никурадзе және Мурина графиктері.
3. Дарси гидравликалық коэффициентін анықтау формуласы және қолдану аймағы.
Турбулентті ағын сұйық бөлшектерінің бірқалыпсыз, тәртіпсіз қозғалысын сипаттайды. Құбылыс күрделі болғандықтан ламинарлы қозғалыс режиміндегі сияқы аналитикалық әдіспен функция түрін таңдау мүмкін емес, сондықтан барлық турбулентті қозғалыс режимінің негізгі заңдылықтары турбулентті ағыстың қысқаша моделдарын зерттеу негізінде алынған.
Турбуленттік режим кезінде бөлшектерді араластыру және олармен байланысты сұйық қабатының бірінен екіншісіне ауысып қозғалу, ағыстың көлденең қимасындағы әртүрлі нүктелердегі жылдамдықтарды реттеу жүреді. Жылдамдық профилі логарифмдік қисық түрінде болады. Турбулентті ағыс құрылымын зерттеу турбуленттік режим кезіндегі үш аймақтың пайда болу себептерін анықтауға мүмкіндік береді
Турбуленттік қозғалыс кезіндегі жанама кернеу, турбуленттік араластыру және тұтқырлық күштері әсерінен туындаған, Прандтль және Карман жартылайэмприкалық теориялары негізінде пайда болған кернеулер қосындысы ретінде анықталады
Ұзындық бойынша үйкеліс шығынының тегеуріні Дарси формуласымен анықталады, бірақ бұл жағдайда гидравликалық үйкеліс коэффициенті , оның ламинарлық ағыстан ерекшелігі ол басқа теңдік арқылы анықталады. Жалпы жағдайда Дарси коэффициенті Рейнолдс санының Re және салыстырмалы бұдырлықтың /d функциясы болады және жалпы жағдайда коэффициент
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Теңдеуді толық Никурадзе графигі түсіндіреді, ол құбырға жасанды біркелкі бұдырлық беру нәтижесінде тәжрибелік жолмен алынған. Графикте бес аймақты бөліп көрсетуге болады, олардың әр қайсысы ағынның белгілі бір ішкі құрылымымен және осыған сәйкес белгілі бір байланыспен -ның Re қатысты және /d сипатталады.
I аймақ – тұтқырлық күші пайда болады, ламинарлы қозғалысты, 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)
Достарыңызбен бөлісу: |