/ A flow conduit has following characteristics. The drill pipe has an OD of 5.5-in. and a unit weight of 24.7lbm/ft. The pipe is placed in a borehole that has a square shape with a side length of 9 -in. Drilling fluid is a water-based mud with a density of 10lbm/gal and circulated with a flow rate of 480gal/min. Pump discharge pressure at this circulation rate is 2,800 psig. Drilling fluid has a flow behavior index (n) of 0.75 and a consistency index (K) of 124eqcp. a) Calculate the equivalent diameter (de) of the annulus. b) Assuming Bingham Plastic rheological model, determine the model constants of plastic viscosity (p) and yield point (y). c) Calculate the frictional pressure loss gradient (dPf/dL) assuming laminar flow in the annulus using Bingham plastic model. d) Calculate the frictional pressure loss gradient (dPf/dL) assuming turbulent flow in the annulus using Bingham plastic model. e) Determine the flow pattern in the annulus. Why, explain briefly. f) Calculate total pressure drop in the annulus. g) Calculate the equivalent circulating densities ( eq ) at a depth of 4,000ft and 1,000 in the annulus. Did you get the same value? If yes, explain briefly