Reynolds number

In each of the following cases, estimate the Reynolds number, and whether or not the flow is turbulent. For some parts, there is more than one Reynolds number, so calculate cases as appropriate. Where there are multiple dimensions, the smaller dimension that defines the flow is usually the appropriate choice $($alternatively$,$ use hydraulic diameter for a more correct estimate$).$

$($a$)$ A typical water faucet can fill a $12L$ container with $20C$ water in about a minute, and is supplied by a $0\mathrm{.}5-$inch internal$-$diameter pipe.

$($b$)$ A pump in an engine assembly pumps SAE $30$ motor oil through a tube with an inner diameter of $1\mathrm{.}9mm.$ When the engine starts up$,$ the oil is at $-10C$ and the oil has a viscosity of $1\mathrm{.}5Pa*s.$ In continuous operation, the oil is at $80C$ and the oil has a viscosity of $15$mPa$*s.$

$($c$)$ Blood is not a very ideal fluid, but it can be reasonably approximated as a liquid with a viscosity of $10$mPa$*s.$ A heart pumps $100mL$ of blood $60$ times a minute, all of which passes through a large artery with a rough diameter of $40mm,$ and ultimately through ${10}^9$ capillaries with a rough diameter of $10m.$

$($d$)$ The round $2c{m}^2$ opening on a container of molasses $($at $20C)$ dispenses $125mL$ in half a minute.

$($e$)$ A sports car drives down a highway at $125k\frac{m}{h}.$ It takes an off$-$ramp at $50k\frac{m}{h}$ and then parks in a lot where the wind is blowing perpendicular to the length of the car at $5k\frac{m}{h}.$

$($f$)$ A squirrel jumps between two branches, covering a distance of $3m$ in about half a second.

$($g$)$ The Mackenzie River discharges $313k{m}^3$ of water into the Arctic Ocean each year. Near the end of the river, before it opens up into an enormous delta, there is a narrow section where the width is $960m,$ and the river is $15m$ deep.