Acommon parameter that can be used to predict turbulence in fluid flow is called the reynolds number. the reynolds number for fluid flow in a pipe is a dimensionless quantity defined as re = rhovd μ where rho is the density of the fluid, v is its speed, d is the inner diameter of the pipe, and μ is the viscosity of the fluid. viscosity is a measure of the internal resistance of a liquid to flow and has units of pa · s. the criteria for the type of flow are as follows. • if re < 2,300, the flow is laminar. • if 2,300 < re < 4,000, the flow is in a transition region between laminar and turbulent. • if re > 4,000, the flow is turbulent. (a) let's model blood of density 1.06 103 kg/m3 and viscosity 3.00 10-3 pa · s as a pure liquid, that is, ignore the fact that it contains red blood cells. suppose it is flowing in a large artery of radius 1.25 cm with a speed of 0.0650 m/s. show that the flow is laminar. (state the reynolds number of the flow, which will be less than 2,300, indicating laminar flow.) (b) imagine that the artery ends in a single capillary so that the radius of the artery reduces to a much smaller value. what is the radius of the capillary that would cause the flow to become turbulent? (use the minimum reynolds number for which flow is fully turbulent.)