2021 №4(38)
https://rep.ksu.kz//handle/data/10796
2022-05-19T21:16:40ZINVARIANT RELATIVISTIC THEORY OF IDEAL GAS
https://rep.ksu.kz//handle/data/11881
INVARIANT RELATIVISTIC THEORY OF IDEAL GAS
Zhumaev, M.R.
The purpose of this study is to develop an original theory of a relativistic ideal gas and to prove the validity
of the postulate of the special theory of relativity for the characteristic (i.e., arithmetic mean, root-mean-square)
velocities of particles of a relativistic ideal gas even in the massless limit. In this work, the following original
methods are used for the first time in the theory of a relativistic ideal gas: the method of nonlinear transformation
to prove of the distribution function to find the distribution function of the velocities of particles of a relativistic
ideal gas; the equation of state of a relativistic ideal gas was first obtained by averaging the relativistic -
invariant components of the energy - momentum tensor of a system of noninteracting particles, i.e. ideal gas by
the distribution function of the velocities of their particles. The uniqueness and definiteness of the distribution
function of the velocities of the particles of a relativistic ideal gas are proved on the basis of the well-known
relativistic invariance of the distribution function. For the first time, expressions were obtained for the arithmetic
mean and mean square velocities of particles of a relativistic ideal gas. For the first time, a fundamental
conclusion is made about the validity of the postulates of the special theory of relativity for the characteristic
velocities of particles of a relativistic ideal gas. An equation of state for a relativistic ideal gas is obtained, which
relates its pressure, average energy density and temperature.
2021-03-01T00:00:00ZELLIPTICALLY POLARIZED LASER-ASSISTED ELASTIC ELECTRONHYDROGEN ATOM COLLISION IN COULOMB POTENTIAL
https://rep.ksu.kz//handle/data/11880
ELLIPTICALLY POLARIZED LASER-ASSISTED ELASTIC ELECTRONHYDROGEN ATOM COLLISION IN COULOMB POTENTIAL
Yadav, K.; Dhobi, S.H.; Maharajan, S.; Gupta, S.P.; Karki, B.; Nakarmi, J.J.
The advancement of laser technology is causing the research field of optics to become more active, and with
the help of advancement of technology, more detailed information can be obtained. The primary goal of this work
is to calculate differential cross section by using a mathematical model in presence of coulomb potential and
elliptically polarized beam with single photon absorption. The developed model shows the differential cross
section increases with wavelength and decreases with electron energy with elliptically polarized beam. The
differential cross section become maximum at 1.56 radian polarized angle and minimum at -1.56 radian polarized
angle. The observation is based on 1.5eV laser photon energy, laser field intensity 1014Wcm−2, polarized angle
1.56 radian angle, and electron energy 0 to 600eV. Using the born first approximation and the Volkov wave
function, the developed equation is obtained. The numerically obtained differential cross section in this work is
approximately 10−19𝑚2to 10−20𝑚2, which is less than the differential cross section obtained by Flegel et al.
(2013), which is approximately 10−17𝑚2.
2021-03-01T00:00:00ZCONTROL OF STARTING MODES OF AN APRON CONVEYOR MULTI-MOTOR ELECTRIC DRIVE
https://rep.ksu.kz//handle/data/11879
CONTROL OF STARTING MODES OF AN APRON CONVEYOR MULTI-MOTOR ELECTRIC DRIVE
Кеlisbekov, А.К.; Daniyarov, N.А.; Аkhmetbekova, А.М.; Оrazbayev, К.N.
The practice of operating an apron conveyor at mining enterprises has shown that, due to their design
features, they can be successfully applied in various industries for transporting a wide range of goods. Starting a
multi-drive chain conveyor of large length is a rather difficult task, since this process can be accompanied by
excessive relaxation of the traction body. Especially unfavorable are the conditions for starting an apron
conveyor, the belt of which has sagging sections, as a result of which the rigidity of the working body, which is a
function of its tension and load on it, is relatively small. In this regard, ensuring a smooth start of a multi-motor
chain conveyor is an important practical task and is undoubtedly relevant for managing and maintaining a
workable dynamic state of the main an apron conveyor structure operated in difficult mining and geological
conditions.A method of controlling the starting mode of a multi-motor electric drive operation of an apron
conveyor to ensure its smooth start and to reduce dynamic loads, to increase the service life of the traction belt
and to reduce maintenance costs was developed.
2021-03-01T00:00:00ZHYDROSTATIC GENERATOR OF NON-PERIODIC PRESSURE IMPULSES FOR TESTING TECHNICAL PRODUCTS
https://rep.ksu.kz//handle/data/11878
HYDROSTATIC GENERATOR OF NON-PERIODIC PRESSURE IMPULSES FOR TESTING TECHNICAL PRODUCTS
Nizhegorodov, A.I.; Gavrilin, A.N.; Moyzes, B.B.; Ismailov, G.M.
The article reviews the possibility of using the hydrostatic generators of oscillators with nonlinear power
elements (elastic shells) as part of the structures of various test benches in the field of mechanical tests for
vibration strength and vibration resistance, as well as when testing with external and internal pressure. The
hydrostatic generator of non-periodic pressure impulses for engineering products testing is a new patented
technical solution in the field of testing machines. The ratios of the angular velocities of the shafts, which provides
the movement of the operating fluid into the actuator of the test bench in the form of a non-periodic function and
with impulses varying in amplitude in a random manner were obtained. It makes a continuous and non-repetitive
sequence of pressure impulses and corresponds to the operation of the tested objects in real conditions. The
random nature of the amplitudes settings is provided by signals controlled from electric generators through
controlled hydraulic valves. The development of a hydrostatic generator with a power element in the form of an
elastic shell is represented by a hydromechanical diagram of a generator of non-periodic pressure impulses with
corresponding kinematic and dynamic dependencies. In addition, there were developed three hydro-mechanical
systems with the use of a new hydrostatic generator for engineering products testing both for mechanical random
vibration and for testing the external and internal pressure of engineering objects that operate in such conditions.
The result of the research is the expansion of the range of systems and methods for the test processes
implementation under random non-periodic force effects on various engineering objects.
2021-03-01T00:00:00Z