$\backslash$table$[[\backslash$table$[[$T$],[($K$)]],\backslash$table$[[\backslash$rho $],[($kg$/$m$^(3))]],\backslash$table$[[$c$\_($p$)],[($kJ$/$kg$*$K$)]],\backslash$table$[[\backslash$mu $*102],[($N$*$s$/$m$^(2))]],\backslash$table$[[$

u $*10],[($m$^(2)/$s$)]],\backslash$table$[[$k$*103],[($W$/$m$*$K$)]],\backslash$table$[[\backslash$alpha $*10],[($m$^(2)/$s$)]],$Pr$],[$Engine Oil $($Unused$),,,,,,,],[273,899\mathrm{.}1,1\mathrm{.}796,385,4280,147,0\mathrm{.}910,47,000],[280,895\mathrm{.}3,1\mathrm{.}827,217,2430,144,0\mathrm{.}880,27,500],[290,890\mathrm{.}0,1\mathrm{.}868,99\mathrm{.}9,1120,145,0\mathrm{.}872,12,900],[300,884\mathrm{.}1,1\mathrm{.}909,48\mathrm{.}6,550,145,0\mathrm{.}859,6400],[310,877\mathrm{.}9,1\mathrm{.}951,25\mathrm{.}3,288,145,0\mathrm{.}847,3400],[320,871\mathrm{.}8,1\mathrm{.}993,14\mathrm{.}1,161,143,0\mathrm{.}823,1965],[330,865\mathrm{.}8,2\mathrm{.}035,8\mathrm{.}36,96\mathrm{.}6,141,0\mathrm{.}800,1205],[340,859\mathrm{.}9,2\mathrm{.}076,5\mathrm{.}31,61\mathrm{.}7,139,0\mathrm{.}779,793],[,,,,,,,],[350,853\mathrm{.}9,2\mathrm{.}118,3\mathrm{.}56,41\mathrm{.}7,138,0\mathrm{.}763,546],[360,847\mathrm{.}8,2\mathrm{.}161,2\mathrm{.}52,29\mathrm{.}7,138,0\mathrm{.}753,395],[370,841\mathrm{.}8,2\mathrm{.}206,1\mathrm{.}86,22\mathrm{.}0,137,0\mathrm{.}738,300],[380,836\mathrm{.}0,2\mathrm{.}250,1\mathrm{.}41,16\mathrm{.}9,136,0\mathrm{.}723,233],[390,830\mathrm{.}6,2\mathrm{.}294,1\mathrm{.}10,13\mathrm{.}3,135,0\mathrm{.}709,187],[,,,,,,,],[400,825\mathrm{.}1,2\mathrm{.}337,0\mathrm{.}874,10\mathrm{.}6,134,0\mathrm{.}695,152],[410,818\mathrm{.}9,2\mathrm{.}381,0\mathrm{.}698,8\mathrm{.}52,133,0\mathrm{.}682,125],[420,812\mathrm{.}1,2\mathrm{.}427,0\mathrm{.}564,6\mathrm{.}94,133,0\mathrm{.}675,103],[430,806\mathrm{.}5,2\mathrm{.}471,0\mathrm{.}470,5\mathrm{.}83,132,0\mathrm{.}662,88],[,,,,,,,]]$onsider a concentric $($circle within a circle$)$ heat exchanger. Water

lows on the inside at $25k\frac{g}{s}.$ Ethylene Glycol flows on the outside at

$5k\frac{g}{s}.$ The water enters at $100C,$ and the Ethylene Glycol enters at

$0C.$ Evaluate water properties at $365K$ and ethylene glycol

roperties at $330K.$

The diameter of the inside tube $(D$ for the water$)$ is $10cm.$ The wall

eetween the water and ethylene glycal has a thickness of $1cm,$ and a

hermal conductivity of that wall is $100\frac{W}{m}-K.$ The outside of the

vall $($and inside of the annulus$)$ is $12cm,$ and the outside of the

innulus is $15cm.$ The heat exchanger is $250m$ long.

The table lists values in a slightly odd format. It often lists a property

$(x^{\text{'}\text{'}}$ as $x^{**}{10}^y=z$; this means that $x=z^{**}{10}^{-y}$; for example, the conductivity $"k^{\text{'}\text{'}}$ of oil at $273K$ is

${147}^{**}{10}^{-3}=0\mathrm{.}147.$ Make sure to evaluate water properties for the liquid state and not the vapor state.

letermine the following:

a$.$ What is the value for $"h"$ of the water on the inside in $\frac{W}{m^2}-K?$

value in table below with hydraulic diameter.

c$.$ What is the overall heat transfer coefficient, UA$,$ in W$/$K$?$ Fouling occurs on the ethylene glycol

side with $R^{\text{'}\text{'}}=0\mathrm{.}00035K-\frac{m^2}{W}.$ No fouling occurs on the water side.

d$.$ What is the value of NTU?

e$.$ What is the effectiveness if the flow is in parallel flow? For parallel flow, $lon=$

$\frac{1-\text{e}\text{x}\text{p}(-\text{N}\text{T}\text{U}(1+C^{**}))}{1+C^{**}}$ where $C^{**}=\frac{C_{\text{m}\text{i}\text{n}}}{C_{\text{m}\text{a}\text{x}}}$; referred to as $C_r$ in class notes.

f$.$ What are the outlet temperatures of the water and ethylene glycol if the flow is in parallel flow.

Report in C$?$

g$.$ What is the effectiveness if the flow is in counter flow? For counter flow, $lon=$

$\frac{1-\text{e}\text{x}\text{p}(-\text{N}\text{T}\text{U}(1-c^{**}))}{1-C^{**}\text{e}\text{x}\text{p}(-\text{N}\text{T}\text{U}(1-c^{**}))}$

h$.$ What are the outlet temperatures of the water and ethylene glycol if the flow is in counter

flow? Report in C