optimization of ultrasonic reactor geometry for biodiesel production using response surface methodology

biodiesel fuel, which is produced by transesterification reaction between alcohol and vegetable oil/animal fat is proposed as a clean alternative to petro diesel fuel. today, one of the new technologies to produce biodiesel is using ultrasonic energy that makes production faster, with improved quality and less expensive. various factors that affect the design of ultrasonic reactors are ratio of vibrating rod diameter to reactor diameter, reactor height, depth of horn penetration into fluid and chamber characteristics (material and shape). in this paper, two parameters namely the ratio of vibrating rod diameter to reactor diameter and reactor height were studied in order to increase the reaction efficiency. in all performed tests, the horn diameter of 14 mm, molar ratio of alcohol to oil of 5 to 1, catalyst concentration of 0.7% wt?? oil, depth of horn penetration into fluid of 15 mm and a cylindrical reactor were used. experimental design involved the use of central composite design (ccd) and the statistical response surface methodology (rsm). considering the empirical model, a significant relationship was found between independent and dependent variables with a regression coefficient of 0.99. taking into account the desirability of increasing the efficiency, the optimal function of reactor diameter and reactor height were 63 and 110 mm, respectively with a reaction yield of 87%. in order to verify the model, function responses in the defined area were tested with five replicates and the average efficiency of the reaction was 87.2%. the obtained model suggests the simultaneous reverse effects of reactor diameter and height on the reaction efficiency.