In this work, the effects of the impingement plate geometry, Reynolds number, jet-plate distance-to-jet diameter ratio, and the jet diameter-to-rib height ratio on the impingement jets were investigated using the Taguchi experimental design method. The heat transfer measurements over a surface with V-shaped ribs (V-SR) and convergent-divergent shaped ribs (CD-SR) by a circular impinging jet array were investigated using a thermal infrared camera. Both V-SR and CD-SR configurations, with an angle of 45 degrees, were considered. Both projected and total Nusselt numbers were considered as performance statistics. After the data on each quality characteristic were obtained from the orthogonal arrays, a main effect analysis and analysis of variance (ANOVA) were conducted to determine the parameters that had significant effects on these quality characteristics. The L-32 (2(1) x 4(3)) orthogonal array was selected as an experimental plan for the four parameters. The Taguchi method was applied with an optimization process to reach the maximum heat transfer. Experimental results validated the suitability of the proposed approach. The best heat transfer performance was obtained with the V-SR arrangements.