vii) Time allocated 2 hours. Question One Outline the s steps :equired to etfectively perform a dimensional analysis. (8 marks) When fluid flows in a bent (curved) pipe, experiments have shown that the flow regime is determined by the Dean number. This dimensionless paramerer captures the pressure drop as a result of the secondary flow occurring.at the bend. The pressure drop is a function of the variables listed. i.e. Ap = fip,, V,D.R Where p= density o: fluid, u dynamic viscosity of fluid, V = average flow velocity, D pipe diameter, and R, = radius of bend b) Using the dimensional matrix method, determine the number of a pi groups needed to produce the general relationship for Dean number. i) (4 marks) ii) Find the pi groups forming the general relationship for Dean number. (6 marks) iii) Name the pi group on the left hand side of the relationship, that is commonly used to declare flow regimes for straight pipes. (2 marks)