# hw13 - Is the flow laminar or turbulent b The pressure in...

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AAE333 Fall 2011 Homework 13 Due: Mon Nov 28 1) Consider a circular pipe with area .1 in^2 and a slender rectangular duct with height .1 in and width 1 in. The same pressure gradient is applied to each. a) Which one will pass more fluid? Why? b) If there is laminar flow in both, what is the ratio of volume flow rates? You may take the planar Couette flow solution to apply to the rectangular case, ie you may neglect end effects. c) Would the end effects increase or decrease the volume flow rate in the rectangular duct? Why? 2) Consider a circular pipe of radius 1.5 cm made of cast iron, carrying water at 20degC. a. The pressure in the pipe drops by 1 Pa per meter. What is the volume flow rate through the pipe in liters/sec?
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Unformatted text preview: Is the flow laminar or turbulent? b. The pressure in the pipe drops by 5000 Pa/cm. What is the volume flow rate through the pipe in liters/sec? Is the flow laminar or turbulent? You should use the Moody Diagram to do this problem, as posted, for example, on Wikipedia. 3) Water flows over a flat plate at .5m/s. The plate is .2m long by . 5 m wide. a. Find the drag on the plate (include both sides), assume the BL is fully laminar b. Find the displacement thickness at the trailing edge c. Find the momentum thickness at the trailing edge d. Compare the answers you would get on a-c from XFLR5 for a NACA006 airfoil at 0 angle of attack at the same Re....
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