Supercritical Flow in Bends of Trapezoidal Section

by Charles W. Lenau, (M.ASCE), Assoc Prof. of Civ. Engrg.; Univ. of Missouri, Columbia, Mo.,

Serial Information: Journal of the Engineering Mechanics Division, 1979, Vol. 105, Issue 1, Pg. 43-54

Document Type: Journal Paper


Steady supercritical flow in circular bends of trapezoidal cross section is analyzed for the case in which the radius of curvature r0 of the center line is much larger than the undisturbed depth of flow h0. Supercritical flow in bends of trapezoidal cross section has been analyzed for the case ϵ=h0/r0≪1 and F0>2. It was found that an almost periodic pattern of crests exists along the outside edge that are exactly matched in magnitude and position by a pattern of depressions along the inside edge. The crests along the outside edge rise from near the undisturbed flow elevation to a maximum value near U²(2mh0+b)/(r0g) and back down again. The distance measured along the center line to the first peak is given by s=β(2mh0+b)F0 in which β is between 1.0 and 1.20.

Subject Headings: Supercritical flow | Cross sections | Case studies | High-rise buildings | Flow measurement | Steady flow | Curvature | Distance measurement

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