Response Surface Methodology in Application of Optimal Manufacturing Process of Axial-Flow Fans Adopted by Modern Industries

Abstract

Response surface methodology (RSM) is a collection of mathematical and statistical techniques that help in model building and analysis of problems in which a response (output variable) of interest is influenced by numerous factors (independent variables) with the objective of optimizing this response. It is widely used in many disciplines such as Manufacturing Industries, Engineering and Agricultural Sciences. Different types of axial flow fans are being used in manufacturing industries in cooling mechanisms where a lot of heat is produce by the machines and in semi-arid and arid areas to regulate room temperatures. Though little research has been done to ascertain the strength of axial flow fans, there was need to study the optimal specifications of fans to be manufactured by industries to produce a more efficient, strong and long lasting cooling fan. This new focus from the manufacturers represents new quality fans that significantly increase market profitability. In this study, second order response surface model was used to estimate the axial-flow fan parameters. Three experimental factors or specifications were evaluated, that is; the hole type in the fan spyder (blades), the barrel surface type onto which the “spyder” was placed, and the assembly method type for the two components. Central composite designs satisfying all the rotatability conditions were constructed. The D- and A- optimal criteria were used to evaluate the effectiveness of the design. Secondary data was used to obtained second order optimal model for manufacturing process of axial-flow fans adopted by industries. The partial derivatives of the model were used to determine the stationary points of the response surface. Contour plots were used to determine whether the stationary were at maximum, minimum or saddle points. R statistical program was used in analysis of the data.