Representations of solutions of the wave equation based on relativistic wavelets

A representation of solutions of the wave equation with two spatial coordinates in terms of localized elementary ones is presented. Elementary solutions are constructed from four solutions with the help of transformations of the affine Poincar\'e group, i.e., with the help of translations, dilations in space and time and Lorentz transformations. The representation can be interpreted in terms of the initial-boundary value problem for the wave equation in a half-plane. It gives the solution as an integral representation of two types of solutions: propagating localized solutions running away from the boundary under different angles and packet-like surface waves running along the boundary and exponentially decreasing away from the boundary. Properties of elementary solutions are discussed. A numerical investigation of coefficients of the decomposition is carried out. An example of the field created by sources moving along a line with different speeds is considered, and the dependence of coefficients on speeds of sources is discussed.Comment: submitted to J. Phys. A: Math. Theor., 20 pages, 6 figure

Study the influence of parameters on the mixing quality fodder

The paper presents experimental research improved blade mixer full preparation of feed mixtures for cattle. The influence of design parameters and operating modes of the mixer to the quality of the preparation of the feed mixture. An experimental set of rational values of the area, which provide for improvement of the quality of the test tap and optimal power consumption for agitator drive. We obtain a graph of the influence of geometric and kinematic parameters of the homogeneity of mixing of feed and energy costs on the agitator drive

Ground of structural parameters and modes operations of blade mixer

В статті проведений аналіз останніх досліджень і публікацій по змішуванню кормів та запропонована вдосконалена конструкція лопатевого змішувача кормів. Теоретично обґрунтувано режими роботи лопатевої мішалки, конструктивні параметри та продуктивність. Приведені умови руху частки вздовж мішалки і в радіальному напрямку, що забезпечує потоково-контурну схему руху кормосуміші по поверхні лопаті і в зоні інерційного руху в режимі підвищеної динамічності процесу. Підвищення продуктивності експериментальної мішалки підтверджується обґрунтованою формулою продуктивності змішувача. Studies are brought in article on mix provender. The advanced design of the blade mixer is offered. He consists of leading gross, rack, horizontal pipes with flat blade. The corner of the slopping of the blades different to axis of the mixer in fresh rows. For improvement of the process of the mix in designs are bolted radial finger. The technological scheme characterizes the principle robots mixer. The state of working mixer characterizes the angular velocity of the blades, step of the installing the blades, axial velocity of the motion stern, corner of the slopping of the blades. All are these factors raise capacity of the experimental mixer