Develop a general-purpose computer application (using EES or other software) that employs the affinity laws to design a new pump (B) that is dynamically similar to a given pump (A). The inputs for pump A are diameter, net head, capacity, density, rotational speed, and pump efficiency. The inputs for pump B are density (ρ_B may differ from ρ_A), desired net head, and desired capacity. The outputs for pump B are diameter, rotational speed, and required shaft power. Test your program using the following inputs: D_A = 5.0 cm, H_A = 120 cm, V̇_A = 400 cm³/s, ρ_A = 998.0 kg/m³, ṅ_A = 1725 rpm, η_{pump, A} = 81 percent, ρ_B = 1226 kg/m³, H_B = 450 cm, and V̇_B = 2400 cm³/s. Verify your results manually.