please answer them all

$1-)$ Air at $3$ atm and $100C$ is flowing at $1\mathrm{.}0\frac{m}{s}$ in a $1\mathrm{.}5$ cm diameter tube. The flow is laminar,

and the Reynolds number $(2,029)$ is near the critical value. Would the flow become turbulent if:

$($a$)$ the temperature were increased to $200C?$; $($b$)$ the tube diameter were increased to $2\mathrm{.}0$ cm $?$;

$($c$)$ the pressure were increased to $5$ atm $?$

$2-)$ Estimate the transition length at the entrance to a $15$ mm diameter tube through which $100\%$

glycerol at $60C$ is flowing at a velocity of $0\mathrm{.}3\frac{m}{s}.({}_{\text{g}\text{l}\text{y}\text{c}\text{e}\text{r}\text{o}\text{l}}=1,240\frac{kg}{m^3}$;$=98cP)$

Ans. $43$ mm

$3-)$ For laminar flow conditions, what size pipe will deliver $0\mathrm{.}0057\frac{m^3}{s}$ of medium fuel oil at

$4C?(v=6\mathrm{.}0910-6\frac{m^2}{s})$

Ans. $59\mathrm{.}6$ cm

$4-)$ Determine the type of flow occurring in a ${12}^{\text{'}\text{'}}$ pipe when: $($a$)$ water at $60F$ flows at a velocity

of $3\mathrm{.}50f\frac{t}{sec}$; and $($b$)$ heavy fuel oil at $60F$ flows at the same velocity.

$\{$:$f\frac{t^2}{sec\text{;}{v}_{\text{o}\text{i}\text{l}}}=221{10}^{-5}f\frac{t^2}{sec})$