$(28$pts$).$ For the parallel flow heat exchanger $($for a temperature control mechanism$),$ with square ducting as shown, determine the following:

a$)(4$pts$)$ Plot a qualitative graph of Temperature $($both fluids$)$ vs$.$ x$.$

b$)(6$ pts $)$ The equivalent diameter used for calculating the Nusselt number for the outer fluid.

c$)(6$pts$)$ The oil and water convection coefficients, or if Applicable. $($Assume constant heatflux if flow is laminar$)$

d$)(4$pts$)$ The heat transfer rate of the heat exchanger

e$)(4$pts$)$ The required length, $L,$ of the heat exchanger

f$)(4$pts$)$ What is the effectiveness of this heat exchanger?

Extra Credit $(2$pts$)$ What is the condensation rate of the water?

Accime $h=$ n $2$ m

Cold Fluid

Oil

$=900k\frac{g}{m^3}$

$c=2000\frac{J}{k}gC$

$v=1\mathrm{.}0{10}^{-4}\frac{m^2}{sec}$

$k=0\mathrm{.}14\frac{W}{m}C$

$Pr=1400$

$=80C$

Hot Fluid

Water $($condensing$)$

$($may not all condense$)$

$h_{fg}=2310k\frac{J}{k}g$

$($so find Tsat$)$

$m^{}=0\mathrm{.}16k\frac{g}{sec}$