NOVELTY - Preparation of fatty acid alkyl esters and glycerin by transesterification process, comprises preparing a catalyst that contains a basic component and alcohol, making an activated catalyst in such a way that a coemulsifier dissolves in the prepared homogeneous catalyst, mixing the triglycerides with the activated catalyst, and contacting the reactants during the transesterification process in a paper or in flow reactor, under a condition that promotes increased contact between the reactants.    USE - The fatty acid alkyl esters are useful as components of diesel or biodiesel fuels.    ADVANTAGE - The process provides improved conditions for transesterification and esterification process for producing fatty acid alkyl esters.    DETAILED DESCRIPTION - Preparation of fatty acid alkyl esters and glycerin by transesterification process, comprises: either preparing a catalyst that contains a basic component and alcohol, making an activated catalyst in such a way that a coemulsifier dissolves in the prepared homogeneous catalyst, mixing the triglycerides with the activated catalyst, and contacting the reactants during the transesterification process in a paper or in flow reactor, under a condition that promotes increased contact between the reactants; or making an activated agent in such a way that the coemulsifier dissolves in the alcohol, mixing the triglycerides with the activated agent, and contacting the reactants during the transesterification process under a condition that promotes increased contact between the reactants, in a flow reactor or in serially arranged flow reactors, which contain a heterogeneous transesterification catalyst. INDEPENDENT CLAIMS are included for: preparing fatty acid alkyl esters using the esterification process, comprising either: making an activated agent in such a way that the coemulsifier dissolves in the alcohol, mixing the activated agent with a homogeneous acid catalyst for making activated catalyst, mixing carboxylic acids with the activated catalyst, and contacting the reactants during the transesterification process in a paper or in flow reactor, under a condition that promotes increased contact between the reactants; and making an activated agent in such a way that the coemulsifier dissolves in the alcohol, mixing carboxylic acids with the activated agent, and contacting the reactants during the transesterification process under a condition that promotes increased contact between the reactants, in a flow reactor or in serially arranged flow reactors, which contain a heterogeneous transesterification catalyst; or making an activated agent in such a way that the coemulsifier dissolves in the alcohol, mixing an activating agent with the triglyceride, which contains free carboxylic acids, at the end of the esterification process under a condition that promotes increased contact between the reactants, in a flow reactor or in serially arranged flow reactors, which contain a heterogeneous transesterification catalyst, and mixing the activating agent of the triglyceride, which contains converted alkyl esters from fatty acids, at the end of the transesterification process, under a condition that promotes increased contact between the reactants, in a flow reactor or in serially arranged flow reactors, which contain a heterogeneous transesterification catalyst.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic representation of continuous production device for fatty acid alkyl ester (Drawing includes non-English language text).