NOVELTY - Creating biodiesel fuel meeting or exceeding American society for testing and materials D6751-10 specification, comprises: reactively distilling feedstream comprising fatty acids and glycerides with alcohol feedstream to produce fatty acid alkyl ester product stream (31); separating glycerin from product stream; increasing temperature of product stream to temperature so that water and/or at least one volatile material is vaporized and removed; and incorporating at least one biodiesel additive into product stream.    USE - The process is useful for creating or preparing a biodiesel fuel from a feedstock comprising fatty acids and glycerides (claimed).    ADVANTAGE - The process: provides improved biodiesel fuel which meets or exceeds the American society for testing and materials D6751-10 specification; and allows an entire feedstock to be utilized with maximum efficiency, highest throughput, lowest capital outlay and highest quality biofuel (e.g. biodiesel).    DETAILED DESCRIPTION - Creating a biodiesel fuel meeting or exceeding the American society for testing and materials D6751-10 specification, comprises: reactively distilling a feedstream comprising fatty acids and glycerides with an alcohol feedstream to produce a fatty acid alkyl ester product stream (31); separating glycerin from the product stream; increasing the temperature of the product stream to a temperature so that water and/or at least one volatile material is vaporized and removed; and incorporating at least one biodiesel additive into the product stream so that the product stream is converted into a biodiesel meeting or exceeding the ASTM D6751-10 specification. INDEPENDENT CLAIMS are also included for: (A1) preparing biodiesel meeting or exceeding biodiesel standard American society for testing and materials D6751-10 from a feedstock (20) comprising fatty acids and glycerides, comprising continuously introducing an alcohol vapor feedstream to a reaction vessel, where the reaction vessel comprises a reaction zone (23) and a decanting area, continuously introducing a feedstock comprising fatty acids and glycerides to the reaction vessel, catalytically reacting the fatty acids and glycerides with the alcohol vapor in the reaction zone within the reaction vessel to produce fatty acid ester, glycerin, and water, where the reaction zone contains a heterogeneous catalyst, stripping the water from the reaction vessel with the alcohol vapor, separating the glycerin from the reaction vessel in the decanting area of the reaction vessel, collecting a fatty acid alkyl ester product stream, and incorporating the biodiesel additive into the fatty acid alkyl ester product stream so that the product stream is converted into a biodiesel meeting or exceeding the American society for testing and materials D6751-10 specification; and (A2) a reaction vessel for preparing a fatty acid alkyl ester from a feedstock comprising fatty acids and glycerides, comprising a housing comprising many first channels and many second channels, where each of the channel is substantially parallel to one another, and the channels are configured so that a flowpath exists between adjacent channels, and a catalyst positioned within the first channels, where the catalyst facilitates transesterification of glycerides and esterification of fatty acids to form the fatty acid alkyl ester.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic view of preparation of fatty acid esters.    Feedstock (20)    Distillation column (21)    Reaction zone (23)    Alcohol rich stream (29)    Product stream (31)