MEASUREMENT OF PRESSURE-FLOW RELATIONSHIP

IN A CURVED TUBE


Class: BE310
Group: T3
Members: ANUPAM GUPTA,  CHERYL PHUA, SHISHIR DUBE,  CHRISTIE SNEAD
 

Date: May2002

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Abstract:
The objective of this experiment was to examine the pressure-flow dynamics in a round tube coiled around a cylinder.  A horizontal tube connected to an elevated water tank allowed water to flow past a liquid monometer and through a coiled tube.  Three liquids, water, 10% sucrose, and 20 % sucrose, were allowed to flow through the tube wrapped around cylinders with diameters of 0.288, 0.2878, and 0.110 meters.  A graph of the ?P (the difference between the pressures at either end of the tube) versus the flow rate, Q, showed a linear relationship where Q increases as ?P increases.  A graph of the Euler number versus the 1/DeanNumber2 also showed a linear relationship where two different linear regression trends lines existed for each solution when only one should have existed due to the dimensionless variables that were plotted.  After analysis, it was found that these two linear regressions were not significantly different with 95% confidence.  Thus it was determined experimentally that the Dean number is a dimensionless number that is not affected by varying solutions or diameters of curvature.  This also held true for the Reynolds number.