Suppose a system for ice production consisting of metallic ducts, with high thermal conductivity, with internal diameter ri and external diameter re>ri. These ducts are internally traversed by a refrigerant fluid at temperature T0T0. Ice forms from the outer surface of these ducts and increases in thickness over time in contact between the water and this duct system. After reaching the desired thickness, eg, a hot fluid runs through the interior of the ducts and the released ice is collected for commercialization. It is intended to carry out a mathematical modeling of this process in order to estimate the time required to obtain ice with thickness eg. Make all the assumptions you deem necessary. A. Make a technical diagram of the process in order to position control volumes and perform balances. B. Consider a differential control volume in drinking water. Assume transient process, without production, with energy transfer by conduction. Apply the balance equation and obtain the equation that describes this process. C. Consider a differential control volume on ice. Assume transient process, without production, with energy transfer by conduction. Apply the balance equation and obtain the equation that describes this process. D. Consider a differential control volume at the ice-water interface. Assume a stationary process, with production due to freezing of water, with energy transfer by conduction. Apply the balance equation and obtain the equation that describes this process.