WT5”BZ]On the basis of the theory of complex functions the authors derive the boundary integral equations for the flow discharging from an outlet in a dam in an auxiliary plane. Assuming that the integral variables a...WT5”BZ]On the basis of the theory of complex functions the authors derive the boundary integral equations for the flow discharging from an outlet in a dam in an auxiliary plane. Assuming that the integral variables are constants in small integral intervals, one can directly integrate the boundary integral equations. With the use of the boundary stream coordinates, the boundary integral equations in the physical plane are obtained. Therefore the angle of the solid boundaries is a known function of stream coordinates in the physical plane instead of an unknown function in the complex potential plane or auxiliary plane. As a result we avoid the difficulty for seeking the mapping function which conformally maps the physical plane onto the complex potential or auxiliary plane. A synchronous iterative method for the flow rate and the flow pattern is presented. The flow rate, the pressure distributions at the solid walls and the profiles of the free jet are calculated. The numerical results are in excellent agreement with the experimental results.[WT5”HZ]展开更多
文摘WT5”BZ]On the basis of the theory of complex functions the authors derive the boundary integral equations for the flow discharging from an outlet in a dam in an auxiliary plane. Assuming that the integral variables are constants in small integral intervals, one can directly integrate the boundary integral equations. With the use of the boundary stream coordinates, the boundary integral equations in the physical plane are obtained. Therefore the angle of the solid boundaries is a known function of stream coordinates in the physical plane instead of an unknown function in the complex potential plane or auxiliary plane. As a result we avoid the difficulty for seeking the mapping function which conformally maps the physical plane onto the complex potential or auxiliary plane. A synchronous iterative method for the flow rate and the flow pattern is presented. The flow rate, the pressure distributions at the solid walls and the profiles of the free jet are calculated. The numerical results are in excellent agreement with the experimental results.[WT5”HZ]
