Mathematical Modeling
Vol. 6 (2022), Issue 1

Table of Contents

  • THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

  • MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

    • Behaviour of SPP waves frequency spectrum for dielectric/metal/dielectric structures

      pg(s) 6-8

      In this paper, the authors studied the influence of different phenomena and materials properties on the frequency spectrum of the surface plasmon-polariton (SPP) waves behaviour in “dielectric/metal/dielectric” structures. Among them are spatial dispersion, quantization of energy levels, electron-electron interaction (Coulomb correlations) thickness of a metal layer. Established that for atomically thin metal films mentioned effects affect the frequency spectrum significantly. Mentioned that taking into account quantum-sized effects reveals a specific oscillatory picture of the spectrum that repeats one obtained for chemical potential. Proposed model yields results that have a quite good agreement with an experimental data.

    • Verified model of plasticization of polymers during injection moulding as a tool optimizing the design of injection moulding machine components

      pg(s) 9-12

      The article briefly presents the possibilities of the created and verified model of polymer plasticization during injection molding. Exemplary characteristics generated by the model are presented and examples of applications of the described model for supporting the design of plasticizing systems of injection molding machines are indicated.

    • Study of binary liquid capillary bridges stretched between two solid flat surfaces

      pg(s) 13-16

      Liquid capillary bridges (CBs), created between two flat solid surfaces, parallel to each other, are of significant importance for number of scientific and industrial applications. In this paper, we present our experimental investigation of the liquid CBs at stretching, created by two immiscible liquids: cedar oil–water and paraffin-water with common interface. The behaviour of these binary structures was studied and compared with that of the single liquid CBs. It was found that the binary liquid CBs exist in the same definition domain as the single liquid CBs. Moreover, the current paper is focused not only on static, but also on non-equilibrium behaviour of CBs. We demonstrate that the binary liquid CBs can be engineered by the proper combination of polar (water) and non-polar (oil) fluids and these CBs exist within the theoretically predicted domain. The experimental results of water/cedar oil and water/paraffin binary CBs shows that the paraffin spreads in water surface and modifies the overall surface tension of the system, while the cedar oil and water retain their surface properties within the binary structure.

  • MATHEMATICAL MODELLING OF SOCIO-ECONOMIC PROCESSES AND SYSTEMS

    • Linear and nonlinear panel regression models for fiscal policy evaluation

      pg(s) 17-19

      In this paper, we analyse the relationship between the primary surplus/deficit and debt for the group of eleven Central and Eastern European EU countries. Temporary spending and temporary output are also added to the regression equation as explanatory variables. We use annual data for the period between 1997 and 2020, obtained from Eurostat. The estimated panel regression model passes the employed specification and diagnostic tests. Our analysis reveals there is a significant positive response of the primary surplus to an increase in debt, providing empirical support for the sustainability of fiscal policy in the observed panel of countries during the observed period.

    • Conceptual model for developing a Sustainability Balanced Scorecard – taking into account ESG aspects

      pg(s) 20-22

      Sustainability is a complex issue and framework for companies, with the common goal of meeting economics, environmental awareness and social justice. The focus should be on achieving medium- and long-term goals, and the environmental and social impacts of corporate operations should be examined. The Sustainability Balanced Scorecard, which takes into account ESG aspects, is one of the strategic controlling tools that can be adapted to this framework. The Sustainability Balanced Scorecard also includes a sustainability dimension to embed environmental, social or ethical considerations, including sustainability objectives and performance indicators. The paper attempts to identify the most usable, optimized Sustainability Balance Scorecard model for companies that will be part of sustainability reports in the near future. I have done research on Environmental Management Accounting / Green Controlling, the paper presents a conceptual model, using an interpretive and synthesizing approach by recombination of work in the field.

    • Techno-Economic aspects of small PV plants up to 2MWp in Albania.

      pg(s) 23-26

      The economic benefits have been also addressed, evaluating the energy production and distribution throughout the year and cost of electricity generation for small PV plants up to 2MW. Renewable energy sources, including solar, wind, hydropower, biofuels and other renewable sources that may be developed in the future are the main focus of the energy transition ensuring a safe step on the path to an intensity system. low energy, with minimal impact of greenhouse gases (GHG) and with a minimal cost for end users. Over the last two years PV systems have attracted a large amount of monetary and investment globally, especially in EU countries. The responsible ministry (MEI) and its subordinate institutions have drafted and approved the “National Strategy of Energy 2018-2030 “, consisting of 6 possible scenarios of energy transition towards a sustainable, reliable and diversified energy system. The national strategy seeks to meet its objectives based on Renewable Energy Sources (RES) and Energy Efficiency (EE). Hence, the economic aspects and identification of the most influenced parameters is identified and highlighted.