The laminar pipe fl ow example of Prob. 1.12 can be used to design a capillary
Chapter 1, Problem p1.58(choose chapter or problem)
The laminar pipe fl ow example of Prob. 1.12 can be used to design a capillary viscometer [29]. If Q is the volume fl ow rate, L is the pipe length, and Dp is the pressure drop from entrance to exit, the theory of Chap. 6 yields a formula for viscosity: 5 r 4 0p 8LQ Pipe end effects are neglected [29]. Suppose our capillary has r0 5 2 mm and L 5 25 cm. The following fl ow rate and pressure drop data are obtained for a certain fl uid: Q , m 3 /h 0.36 0.72 1.08 1.44 1.80 Dp , kPa 159 318 477 1274 1851 What is the viscosity of the fl uid? Note: Only the fi rst three points give the proper viscosity. What is peculiar about the last two points, which were measured accurately?
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