The present work encompasses comparative analysis using numerical optimization for energetic and exergetic efficiencies of solar air heater having Winglet type roughness over the absorber surface.Therefore, it is very necessary to calculate effective as well as exergetic efficiencƴ for the proper estimation of energy utilization of solar air heater. The evaluation of these efficiencies is done by considering parametric design parameter and temperature rise parameters. A mathematical model based on the thermal, effective and exergy analysis for the solar air heater, is presented and its effect on the entire design parameter is examined. Using roughnesѕ parameter e.g. the relative roughness pitch of 8, angle of attack of 600, relative roughness width of 5 at the temperature rise parameter of 0.0125 m2K/W shows maximum enhancement of thermal, effective and exergetic efficiencies comprise of 2.12, 1.99 and 2.03 times over smooth plate. This comprehensive analysis can be very efficient and beneficial to get the design plot for the defined value of roughness parameter without advancing plenteous investment for really conducted experimentation and also providing the performance assessment of the solar air heater design.