Fluid flow through a horizontal pipe is to be explored. Your group discussed the problem, and the relevant dimensional parameters were found to include only pressure drop (dp/dx), density (p), velocity (V), pipe diameter (D), pipe roughness (ks), and dynamic viscosity (). Find: (a) Using the method of repeating parameters, determine all the appropriate -terms with one that includes pressure drop. (b) Demonstrate a relationship between non-dimensional pressure drop and the other non-dimensional terms, such that dp/dx = f(p, V, D, ks, ). L(dp/ax) = pg (c) Recognizing that friction head loss, hf, can be expressed as hf rearrange the expression to demonstrate the Darcy-Weisbach equation. HINT: The function becomes the Darcy-Weisbach friction coefficient, .