On the basic equation and the length of a perfect hydraulic jump

Abstract

Abstract This paper presents the research data on the study of the basic equation and the length of the perfect hydraulic jump, which lasted for a total of more than 500 years. The perfect hydraulic jump is a unique natural phenomenon, which is expressed in a sharp increase in the depth of the flow from h < h cr to h > h cr (where h cr – critical depth) on a small stretch of land with the formation of a surface whirlpool. Having experimental data of conjugate depths, the length of the hydraulic jump was found according to known empirical formulas. This study applied the theoretical equation of Professor Abduramanov to determine the length of a perfect hydraulic jump. As a result, according to the comparison of experimental data, the equations of Professor Abduramanov turned out to be more suitable, giving the most accurate values. However, since the equation of the length of a perfect hydraulic jump is theoretical, the study suggests an empirical formula obtained experimentally based on this equation.