A computational and semi-analytical study of laminar standing hydraulic jumps

Abstract

A layer of fluid with a free-surface which is initially supercritical (local Froude Fr > 1), displays a near discontinuity in film-thickness at a location where the Froude number becomes unity. This is better known as the hydraulic jump and has attracted the attention of civil engineers for a very long time (Bidone [1819]). The circular analogue of this was first noticed by Rayleigh [1914]. The phenomenon is robust and occurs in laminar and turbulent flows. It also manifests itself in the form of tidal bores in rivers where the height discontinuity front travels with a certain speed, and is thus referred to as a travelling jump. The objective of this thesis is to study the laminar standing hydraulic jump in planar and circular geometries. The thesis is divided into seven chapters. The work and the results pertianing to each of the chapters are as follows