انجمن هیدرولیک ایران نشریه علمی هیدرولیک 2345-4237 5 2 2011 01 21 The Efficacy of a Convex Corner at a Bend Inlet for the Control of Supercritical Oblique Waves کارایی گوشه محدب در ورودی خم برای مهار امواج مورب فوق بحرانی 77 91 85457 10.30482/jhyd.2011.85457 FA محمد رضا جعفرزاده عضو هیئت علمی دانشکده عمران دانشگاه فردوسی مشهد 0000-0003-2966-7223 علیرضا شمخالچیان محبوبه جمعه زاده Journal Article 2010 03 22 A novel method for the control of supercritical waves is introduced by the installation of a convex<br>corner at a bend inlet. In this method the negative waves emitted from the convex corner are<br>superimposed on the positive waves caused by the outer wall of the bend. Thereby, the heights of the<br>positive waves are decreased. In the first part of the article, the existing analytical relationships for the<br>supercritical flow in straight transitions and bends are reviewed and the interactions of waves in them<br>are examined. Then, using the Roe-TVD finite volume method, the supercritical flow in transitions<br>and bends is simulated numerically. The precision and accuracy of the numerical results in comparison<br>with analytical, numerical and experimental solutions of the other researchers are satisfactory. Next,<br>for the reduction of wave height at the outer wall of a curved channel, a small convex corner is located<br>at the inner wall of the bend inlet. The interaction of positive and negative waves transforms the<br>original single-hump wave at the outer wall to a smaller double-hump wave. The optimum expansion<br>angle of the convex corner (α) is a function of the offset breadth to the bend width, d/b, radius of<br>curvature to the bend width, rc/b, and the inlet Froude number, Fr0. The numerical studies carried out<br>for dimensionless widths (d/b=4%, 8%, 12%), in the range of 2.510, 15, 20) indicated that using an optimum convex corner the wave height may be decreased between<br>10 to 45%. https://jhyd.iha.ir/article_85457_83f68c2539b3f915a7f0ca6b03cb542b.pdf