Journal of Applied Science and Engineering A

Motion and structure from the linear and non-linear algorithms

Tserennadmid Tumurbaatar — 2022-12-31

This study presents the estimations of the 3D motion of a moving object in an image sequence taken from a monocular camera through linear and non-linear equations and determines the differences between linear and non[1]linear algorithms in terms of theoretical level and estimation accuracy with noisy point correspondences. Firstly, we investigated linear and non-linear algorithms for determining 3D motion at the theoretical level. Second, we estimated the 3D motion of the moving object in an image frame at two different instants of time with feature point correspondences in real-time. Finally, we implemented an accuracy analysis of the results from the linear and non-linear estimations. We showed that the non-linear approach produced more accurate results than the linear approach from noisy point correspondences.

A note on self-commutators of Volterra operator and its square

Lkhamjav Khadkhuu — 2022-12-31

Let V be the classical Volterra operator on L²(0, 1). The quadratic forms and their applications are used in many branches of mathematics. In this area of mathematics have studied many properties for concrete operator such as the numerical range. In recent year, the concept of Volterra operator has attached the serious attention of many researchers. In this paper, we compute the operator norm of self-commutators of V and its square. We also study the length of arc and the area of numerical range of V.

Numerical solution to the time-dependent Gross-Pitaevskii equation

Tsogbayar Tsednee — 2022-12-31

In this work we employ the split-step technique combined with a Legendre pseudospectral representation to solve various time-dependent GrossPitaevskii equations (GPE). Our findings based on the numerical accuracy of this approach applied for one-dimensional (1D) and two-dimensional (2D) problems show that it can provide accurate and stable solutions. Moreover, this approach has been applied to study the dynamics of the Bose-Einstein condensate which is modeled with the GPE. The breathing of condensate with a repulsive and attractive interactions trapped in 1D and 2D harmonic potentials has been simulated as well.

Investigation on sorption of Au(III) onto silicon-organic polymers with thioacetamide, thiocarbamide, and dioxothiocarbamide groups

Ganchimeg Yunden — 2022-12-31

Silicon-organic polymers containing thioacetamide, thiocarbamide, and dioxothiocarbamide groups were used in this investigation. The polymers were produced by the hydrolytic poly-condensation reaction of silicon-organic monomer, 3-triethoxysilylpropylamine. Au(III) sorption onto the polymers has been studied. The optimal condition of the sorption is confirmed by sorption experiments which were carried out at various times and in acidic solution conditions. Based on the result of the instrumental analysis and the values of thermodynamic parameters, such as ΔG°, ΔH°, and ΔS° can be concluded that Au(III) can be connected with the electro-donor nitrogen and sulfur atoms of the functional group of the polymer by chemical and coordination bonds.

Thermal free-surface immersed-boundary lattice Boltzmann method for free surface flows with a liquid-solid phase transition

Ayurzana Badarch — 2022-12-31

This paper reports on the progress of the liquid-solid phase transition modeling of water in open channel flow by using the lattice Boltzmann method with the immersed boundary modification. The phase transition in a fluid flow has a moving interface between the liquid and solid state, which leads complicated treatments in existing numerical models. By applying the immersed boundary modification in the lattice Boltzmann method and the non-iterative enthalpy approach for the separation of the states, the moving boundary of the melting or solidification front is solved without any difficulty. The ice bed and the submerged ice cover under dynamic flow conditions is exercised to demonstrate the model performance. The model is extremely suitable in the formulation in terms of its simple and compact framework extendable to any dimensions.

Study on Ni/ZrO2 catalyst preparation

Uyanga Dashnamjil — 2022-12-31

In this work, the influence of catalyst preparation temperature on its structure was investigated. We have synthesized 12 different Ni/ZrO₂ catalysts by varying the calcination temperature, time, and active metal content, and these catalysts will be further used in the carbon dioxide methanation reaction. Structure and properties of the catalysts were determined using XRD and SEM analysis. Therefore, Ni content of the catalysts were measured by ICP-OES.
Regarding to the crystal size calculation using XRD data by Scherer equation, when calcination time was increased the average crystal size of nickel oxide was decreased from 42.38 nm to 38.93 nm whereas it decreased to 39.23 nm when the calcination temperature was increased. This shows that the distribution of active metals in the catalyst increases when the heat treatment parameters are increased. In addition, it can be assumed that the activity of the catalyst can be enhanced when the calcination temperature and time were increases.

Antiproton impact ionization of hydrogen atom: Differential cross sections computed by Coulomb wave function discrete variable representation method

Zorigt Gombosuren — 2022-12-31

Our aim is using the Coulomb wave function discrete variable representation method (CWDVR) for the calculation of collision problem in first time. Nonrelativistic collision of antiproton with hydrogen atom is described by solving the time-dependent Schrodinger equation numerically. Two collision amplitudes are used for calculation of the differential cross sections, one of them corresponds to impact parameter of the projectile while other one is determined by projectile momentum transfer and found by Fourier transform of the first one. The ionization amplitude calculated by projecting of the wave function onto continuum wave function of the ejected electron. The differential cross sections calculated depending on projectile impact energy, scattering angle and electron ejection energy and angles, which is a result that can be measured experimentally. Our results are in good agreement with the relativistic calculation results.