Understanding Scale-Up -Down in Chemical and Bioprocess Engineering

From our basic knowledge of high school physics we know that 

5 Understanding Scale-Up (-Down) in Chemical and Bioprocess Engineering 

We will show the relevance of scaling up/down with a vivid example. For this purpose and due to the importance that bioethanol has acquired, we will analyze, in some detail, so-called alcoholic fermentation. In addition, we will try to understand and quantify how the cooking time of a turkey is related to its size. 

Fermentation is a biochemical reaction in which the substrate (sugar) is converted into alcohol (ethanol), as presented in the following stoichiometry, in this case, the conversion of glucose into ethanol plus carbon dioxide  

Strictly speaking, the reaction in a commercial fermenter is better expressed as  

---