Water enters a 5-mm-diameter and 13-m-long tube at 45°C with a velocity of 0.3 m/s. The tube is maintained at a constant temperature of 5°C. (For water, use $k = 0.607 W/m \cdot °C$, $Pr = 6.14$, $\nu = 0.894 \times 10^{-6} m^2/s$, $c_p = 4180 J/kg \cdot °C$, $\rho = 997 kg/m^3$).
a) Determine the Reynolds number
b) Determine the thermal entry length
c) Determine the average Nusselt Number
d) Calculate the coefficient of heat transfer
e) Determine the fluid exit temperature
f) Determine the logarithmic mean temperature difference
g) Determine the rate of heat transfer
