In the present paper, a comprehensive investigation on solar air heater for heating air having circular wire rib with artificial roughness in the form of arc shape on the back side of absorber plate, has been carried out. Artificial roughness used on the absorber plate is efficient method to improve performance of solar air heater. In present investigation on performance calculation of Solar Air Heater with arc shaped wire rib with artificial roughness absorber plate has been carried out by mathematical model and it is compared with a plane absorber Solar Air Heater. Multiple arc shaped ribs of double flow gives better heat transfer. All the parameters in this investigation has been decided on the basis of practical consideration of the system and operating condition of solar air heaters. In this investigation the parameters are taken such as relative roughness height(e/d) and angle of attack(α/90) have been studied on Nusselt number(Nu) and friction factor(f) with Reynolds number(Re) varies from 2000 to 17000.