Are there any advantages of crushed flake ice mixed with water or brine, also known as sludge, wet or liquid ice?
There are no advantages, to the contrary. First of all, the energy needed to produce this type of ice is 2 to 3 times higher (see How is Slurry Ice made?). Secondly, because the temperature of the water or brine used to mix with the ice can be between 10°C and 30°C (50°F and 86°F), part of the produced ice, up to 35% of ice weight, will be lost. As a result, the final temperature of the water-ice mix can reach only 0°C to +2°C (32°F to 36°F). Lastly, the heat flux (i.e. cooling temperature rate) of this mixture will not be sufficient to cool the product-to-be-cooled rapidly and efficiently.