Ahollow fiber module is being designed for a bioreactor application. mammalian liver cells will be grown in the shell space surrounding the hollow fibers, and nutrient media will flow through the inside of the hollow fibers. the total flow rate through this fiber module is 3140 ml/s. the module will contain a total of 5000 hollow fibers with inside diameter of 800 um and length 40 cm. the nutrient media has a viscosity of .800 cp. the flow is laminar. what is the effective pressure drop in mmhg over the length of these fibers?