3 research outputs found
Development of the BĂ©langer Equation and Backwater Equation by Jean-Baptiste BĂ©langer (1828)
A hydraulic jump is the sudden transition from a high-velocity to a low-velocity open channel flow. The application of the momentum principle to the hydraulic jump is commonly called the BĂ©langer equation, but few know that BĂ©langer's (1828) treatise was focused on the study of gradually varied open channel flows. Further, although BĂ©langer understood the rapidly-varied nature of the jump flow, he applied incorrectly the Bernoulli principle in 1828, and corrected his approach 10 years later. In 1828, his true originality lay in the successful development of the backwater equation for steady, one-dimensional gradually-varied flows in an open channel, together with the introduction of the step method, distance calculated from depth, and the concept of critical flow conditions