Water flows through a circular pipe. The pipe's inner diameter is $2$ cm $,$ and its length is $6$ m $.$ The average velocity of the water is $15$c$($m$)/()$

s $,$ and its inlet temperature is $19\backslash$deg C$.$ Assuming that the heating is uniform and the flow is fully developed, what is the heat flux required

to raise the water temperature by $1\backslash$deg C by the time it reaches the end of the pipe? What is the surface temperature of the pipe at the

exit? The properties of water at $20\backslash$deg C are $\backslash$rho $=998\mathrm{.}0$k$($g$)/($m$^(3)),$k$=0\mathrm{.}598($W$)/($m$)*$K$,\backslash$mu $=1\mathrm{.}002\backslash$times $10^(-3)$k$($g$)/($m$)*$s$,$c$\_($p$)=4182($J$)/($k$)$g$*$K$,$ and Pr$=7\mathrm{.}01.$

The heat flux required to raise the water temperature by $1\backslash$deg C is

$($W$)/($m$^(2)).$

The surface temperature of the pipe at the exit is

$\backslash$deg C$.$

Water flows through a circular pipe. The pipe's inner diameter is $2$ cm $,$ and its length is $6$ m $.$ The average velocity of the water is $15$c$($m$)/()$

s $,$ and its inlet temperature is $19\backslash$deg C$.$ Assuming that the heating is uniform and the flow is fully developed, what is the heat flux required

to raise the water temperature by $1\backslash$deg C by the time it reaches the end of the pipe? What is the surface temperature of the pipe at the

exit? The properties of water at $20\backslash$deg C are $\backslash$rho $=998\mathrm{.}0$k$($g$)/($m$^(3)),$k$=0\mathrm{.}598($W$)/($m$)*$K$,\backslash$mu $=1\mathrm{.}002\backslash$times $10^(-3)$k$($g$)/($m$)*$s$,$c$\_($p$)=4182($J$)/($k$)$g$*$K$,$ and Pr$=7\mathrm{.}01.$

The heat flux required to raise the water temperature by $1\backslash$deg C is

$($W$)/($m$^(2)).$

The surface temperature of the pipe at the exit is

$\backslash$deg C$.$