experimental investigation of multi-jet air impingement in various conditions and analysis using desirability based response surface methodology

This experimental analysis encapsulates the influence of reynolds number (re), diameter of nozzle, height to diameter (h/d) ratio and position of nozzle such as in-line and staggered over the responses heat transfer coefficient, temperature and nusselt number of a hot flat plate exposed to cooling by multi-jet air impingement. for this analysis, a 15 x 10 cm flat plate is being heated using a heating coil having a heat flux of 7666.67 w/m^2 which is maintained as constant through entire experiment. an h/d ratio of 2d, 4d and 6d is considered along with pipe diameters of 4, 6 and 8 mm and reynolds number are changed between 18000 to 22000. experimental design was performed with response surface methodology based central composite design. for all output responses, a quadratic model is chosen for analysis and a second order mathematical model is evolved for predicting with a higher r^2 value. desirability analysis is performed for multi-objective optimization and the optimum input parameters obtained are reynolds no. of 20347, pipe diameter of 8 mm, h/d ratio of 2 and in-line nozzle position with the maximum heat transfer coefficient of 189.411 w/m^2 k, nusselt number of 28.8712 and minimum temperature of 56.983°c. optimum condition-based confirmation experiments result in enhanced nusselt number and heat transfer coefficient.