We present a new method to evaluate the hydraulic jump characteristics in horizontal rectangular channel with positive step. considered flow curvature effect and free surface’s small rise at A-type jump’s end. First, we novel give length estimation based on similarity of turbulent wall-jet, considering pressure gradient. Then, as curvilinear using one-dimensional momentum equation, an accurate ...

Recent evidence has suggested that relationship between approach speed and distance jumped may not be linear. The aims of this study were (1) to test the hypothesis that using a short approach (6-8-10-12 strides) of increasing length, performance variables will be non-linearly related to distance jumped, (2) to investigate the nature of these relationships for a group of long jumpers and indivi...

It is known that introducing a stochastic resetting in a random-walk process can lead to the emergence of a stationary state. Here we study this point from a general perspective through the derivation and analysis of mesoscopic (continuous-time random walk) equations for both jump and velocity models with stochastic resetting. In the case of jump models it is shown that stationary states emerge...

Humans, bushbabies, frogs, locusts, fleas and other animals jump by rapidly extending a pair of legs. Mathematical models are used to investigate the effect muscle properties, leg design and jumping technique have on jump height. Jump height increases with increased isometric force exerted by leg muscles, their maximum shortening speeds and their series compliances. When ground forces are small...

The purposes of this study were to determine the (a) magnitude of variability associated with certain eccentric variables (eccentric peak velocity, displacement, and ground contact time) during unilateral countermovement jump performance (vertical [VCMJ], horizontal [HCMJ], and lateral [LCMJ]); (b) differences between limbs as well as between jumps; and (c) relationship between jump performance...

We present the results of a combined theoretical and experimental investigation of the influence of surface tension σ on the laminar circular hydraulic jump. An expression is deduced for the magnitude of the radial curvature force per unit length along a circular jump, Fc =−σ (s − R)/Rj , where Rj is the jump radius, and s and R are, respectively, the arclength along the jump surface and radial...

For an undirected graph and a fixed integer k, a 2-matching is said to be Ck-free if it has no cycle of length k or less. The problem of finding a maximum cardinality Ck-free 2-matching is polynomially solvable when k ≤ 3, and NP-hard when k ≥ 5. It is known that the polynomial solvability of this problem is closely related to jump systems. Indeed, the degree sequences of the Ck-free 2-matching...

A hydraulic jump is a rapidly-varied open channel flow characterised by the sudden transition from a supercritical flow motion to a subcritical regime. The transition is associated with a rapid increase of water depth, a highly turbulent flow with macro-scale vortices, significant kinetic energy dissipation, a two-phase flow region and some strong turbulence interactions with the free surface l...

In human body movement simulation such as vertical jump by a forward dynamic model, optimal control theories must be used. In the recent years, new methods were created for solving optimization problems which they were adopted from animal behaviors and environment events such as Genetic algorithm, Particle swarm and Imperialism competitive. In this work, the skeletal model was constructed by Ne...

Purpose: The present study examined selected kinematic characteristics analysis of knee and ankle joints during block jump in elite junior volleyball players. Methods: Thirty male junior elite volleyball players (Mean±SD age: 18.14±1.12 y, height: 197.10±3.16 cm, sports history: 4.39±0.95 y, & weight: 771.20±59.83 N) participated in this study. A time-synchronized 5-camera sampling at 100 Hz w...