Document Type : Original Article

Authors

• Farinaz Shoja Talatapeh ¹
• Davood Farsadizadeh ²
• Ali Hosseinzadeh Dalir ³
• Javad Behmanesh ⁴
• Mohammad Reza Nikpour ⁵

¹ Departrment of water engineering, University of Tabriz, Tabriz

² Professor, Department of Water Engineering, University of Tabriz, Tabriz, Iran

³ Professor, Department of Water engineering, University of Tabriz

⁴ Professor, Department of Water engineering, University of Urmia

⁵ Assistant Professor, Department of Water Engineering, University of Mohaghegh Ardabili, Ardabil

Abstract

In the present research, height and velocity of shock waves in contractions of open-channel with trapezoidal and rectangular sections was investigated using experimental models. For this purpose, length of transition (0.5m), convergence ratio (1/2, 1/3 and 1/4) and side slope angle (45o, 60o, 70o and 90o) were considered as geometric variables of the experiments. Also 4 Froude number was assumed as a hydraulic variable of the experiments in the range of 3.25-9.23. Analysis of Free surface & velocity profiles of shock waves showed that in general, the increasing of side slope angle of the transition wall, reduction of convergence ratio, and increasing of Froude number have a direct relationship with the increasing height and velocity of shock waves. The results showed that in the contraction with trapezoidal section with the convergence ratio (1/2) and side slope angle (45o, 60o and 70o) compared with rectangular cross-section, on average maximum height of shock waves respectively decreased to: 59.34, 44.27 and 24.04. In the same condition the maximum velocity of shock waves respectively decreased to: 37.51, 25.23 and 14.67. As Executive channels mainly with a trapezoidal cross-section are building and operating, so the findings of this study can be very useful for design engineers.

Keywords

• Contraction
• Convergence Ratio
• Shock Waves
• Side Slope Angle