The Reynolds number is a dimensionless group defined for a fluid flowing in a pipe as Re = Dup/ where D is pipe diameter, u

The Reynolds number is a dimensionless group defined for a fluid flowing in a pipe as Re = Dup/µ where D is pipe diameter, u is fluid velocity, p is fluid density, and µ is fluid viscosity. When the value of the Reynolds number is less than about 2100, the flow is laminar-that is, the fluid flows is smooth streamlines. For Reynolds number above 2100, the flow is turbulent, characterized by a great deal of agitation. Liquid methyl ethyl ketone (MEK) flows through a pipe with an inner diameter of 2.067 inches at an average velocity of 0.48ft/s. AT the fluid temperature of 20^oC the density of liquid MEK is 0.805g/cm³ and the viscosity is 0.43 centipoises [1cP = 1.00 x 10^–3 kg/(m ∙ s)]. Without using a calculator, determine whether the flow is laminar or turbulent. Show your calculations.