A capillary tube has an 8mm inside diameter through which liquid fluorine refrigerant R-11 flows at a rate of 0.03cm3/s. The tube is to be used as a throttling device in an air conditioning unit. A model of this flow is constructed by using a pipe of 3cm inside diameter and water as the fluid medium. (Density of R-11=1.494 g/cm3 and its viscosity is 4.2104Pa.s; Density of water is 1g/cm3 and its viscosity 8.9104Pa.s ) a) What is the required velocity in the model for dynamic similarity? Hint: For flow through a tube the Ne number can be expressed in terms of the Reynolds number b) When dynamic similarity is achieved the pressure drop is measured at 50Pa. What is the corresponding pressure drop in the capillary tube? Hint: In this case the Euler number defines dynamic similarity with reference to the static pressure drop