Filled Function with Single Parameter Application on Minimum Pumping Power Air Flow Over Staggered Adiabatic Flat Tubes

An engineering application of a filled function with a single parameter that has been optimized for a minimum of pumping in flow over two row staggered flat tubes, the minimum of pumping power in air flow are investigated in current study based on the constructal design method. Nine values of the Reynolds number between 5 to 300 and three values of the longitudinal pitch are 1, 2, and 3. The tubes were spaced apart in dimensionless tube-to-tube spacing from 0.75 to 2.5. Pumping power can be minimum with respect to tube spacing, according to numerical optimization results for flat tubes arrangements. In longitudinal pitch 1.0, the minimum of pumping power (optimal value) with transverse pitch (ϕ_1/2d) for each Reynolds number as following: Re, ϕ_1/2d; 5 at 1.3, 15 at 1.2, 50 at 1.3, 75 at 1.25, 100 at 1.5, 150 at 1.25, 200 at 1.2, 250 at 1 and 300 at 1, receptively.