Calculations:

Calculate the heat transfer rate for both forced $(($:$q_{\text{f}\text{o}\text{r}\text{c}\text{e}\text{d}}\}$ and natural convection $(($:$q_{\text{n}\text{a}\text{t}\text{u}\text{r}\text{a}\text{l}}\}$ from the water side. $)=(m_{\text{w}\text{a}\text{t}\text{e}\text{r}}^{}{c}_{p,\text{w}\text{a}\text{t}\text{e}\text{r}}(T{)}_{\text{w}\text{a}\text{t}\text{e}\text{r}}$

$($The specific heat value $(c_p)$ of water should be taken at the average of water inlet and outlet temperatures$)$

Draw the temperature vs$.$ heat exchanger pipe length graphic for both forced and natural convection modes.

Calculate the log mean temperature difference $(T{)}_{lm}$ for both forced and natural convection modes.

Data Sheet:

$\backslash$table$[[,$Forced convection,Natural convection$],[$Hot oil inlet temperature, $t_1(C),61,35,8],[$Hot oil outlet temperature, $t_2(C),53,59,7],[$Cold water inlet temperature, $t_3(C),29,25,1],[$Cold water outlet temperature, $t_4(C),17,3,17,2],[$Heater power, $P_1(W),812,830],[$Volumetric flow rate of water Q $($liters$/$h$),100,100]]$