A jacketed 2.5-m-diameter agitated vessel without baffles is being used to heat a liquid which is at 350 K. The agitator is 0.75 m in diameter and is a paddle type rotating at 100 rpm. Hot water is in the heating jacket. The wall surface temperature is constant at 400K. The liquid has the following bulk physical properties: $\rho = 981 \text{ kg/m}^3$, $C_p = 2800 \text{ J/kg K}$, $k = 0.183 \text{ W/m K}$, and $\mu = 1.25 \text{ Pa s}$ at 350 K and 0.064 Pa s at 400 K. Calculate the heat-transfer coefficient to the wall of the jacket.
What is roughness factor and does the roughness factor affect the mass transfer, heat transfer and fluid flow in the equipment?
