In a pipeline that connects a production oilfield to a tanker terminal, oil havi

Question

In a pipeline that connects a production oilfield to a tanker terminal, oil having density 1.85 slug/ft3 and viscosity 6 times 10-3 slug/(ft-s) flows through a 48-in,-diameter pipeline at 6 mph. What is the Reynolds number? Is the flow laminar or turbulent? For the parabolic pressure profile in Equation (5, 7), show that the average flow velocity is half the maximum value (Equation (5.11)). The average velocity of blood flowing in a certain-4-mm-diameter artery in the human body is 0.28 m/s. Recognizing the assumptions described on page 202, calculate the Reynolds number and determine whether the flow is laminar or turbulent. The viscosity and density of blood are approximately 4 cP and 1 06 Mg/m3, respectively. Determine the volumetric flow rate of blood in the artery of the preceding problem (b) Calculate the maximum velocity of blood across the artery's cross section. decreases along each 10 cm

Explanation / Answer

Given data velocity V=0.28 m/s Diameter D=4 mm                  =0.004 m Viscosity =4 cP                  =0.004 Pa-s Density =1.06 Mg/m3               =1060 kg/m3 -------------------------------------------------------------- Reynolds number Re =VD/                                  =1060*0.28*0.004/0.004                                   =296.8 Re=296.8<2000 laminar flow laminar flow

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