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28.6: ламінарний і турбулентний потік
https://ukrayinska.libretexts.org/%D1%84%D1%96%D0%B7%D0%B8%D0%BA%D0%B8/%D0%9A%D0%BB%D0%B0%D1%81%D0%B8%D1%87%D0%BD%D0%B0_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D1%96%D0%BA%D0%B0/%D0%9A%D0%BB%D0%B0%D1%81%D0%B8%D1%87%D0%BD%D0%B0_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D1%96%D0%BA%D0%B0_(Dourmashkin)/28%3A_%D0%94%D0%B8%D0%BD%D0%B0%D0%BC%D1%96%D0%BA%D0%B0_%D1%80%D1%96%D0%B4%D0%B8%D0%BD%D0%B8/28.06%3A_%D0%BB%D0%B0%D0%BC%D1%96%D0%BD%D0%B0%D1%80%D0%BD%D0%B8%D0%B9_%D1%96_%D1%82%D1%83%D1%80%D0%B1%D1%83%D0%BB%D0%B5%D0%BD%D1%82%D0%BD%D0%B8%D0%B9_%D0%BF%D0%BE%D1%82%D1%96%D0%BA
\[\frac{d p}{2 \eta d l} \int_{r^{\prime}=r}^{r^{\prime}=r_{0}} r^{\prime} d r^{\prime}=\int_{v^{\prime}=v(r)}^{v^{\prime}\left(r=r_{0}\right)=0} d v^{\prime} \nonumber \] Q=-\ frac {d p\ pi} {2\ ета ...\[\frac{d p}{2 \eta d l} \int_{r^{\prime}=r}^{r^{\prime}=r_{0}} r^{\prime} d r^{\prime}=\int_{v^{\prime}=v(r)}^{v^{\prime}\left(r=r_{0}\right)=0} d v^{\prime} \nonumber \] Q=-\ frac {d p\ pi} {2\ ета д л}\ int_ {r=0} ^ {r=r_ {0}}\ лівий (r_ {0} ^ {2} -r {2}\ праворуч) r d r=-\ ліворуч. \ розрив {д р\ пі} {2\ ета д л}\ лівий (r_ {0} ^ {2} r^ {2}/2-r^ {4}/4\ праворуч)\ право|_ {r=0} ^ {r=r_ {0}} =\ frac {\ pi r_ {0} ^ {4}} {8\ eta d l} |d p|