Figure 1 below is a depiction of the media vessel after the heat jacket is turned back on and the system is at steady state. Assume there is no mixing in the vessel, there is uniform temperature from top to bottom ( z-direction) and there is no heat loss from the bottom and top of the vessel. The heat jacket fluid temperature is given as T=45C and the outer wall temperature of the vessel was measured to be T4=42C; This information can allow you to determine the convective heat transfer coefficient for the water, h(W/m2K). In addition, for water: k=598.03mW/(mK) and =0.890 centiPoise if needed. What is the temperature distribution across the radial direction of the vessel (Determine T1,T2 and T3 )