• MACHINES

    Thermodynamic Modeling and Matlab-based Simulation of a Stirling Engine for Micro- Scale Power Generation

    Machines. Technologies. Materials., Vol. 19 (2025), Issue 12, pg(s) 456-459

    The Stirling engine represents one of the most promising technologies for the efficient conversion of thermal energy into mechanical work, due to its ability to operate with almost any heat source and to achieve theoretical efficiencies approaching the Carnot cycle. This article aims to provide a detailed study of the Stirling cycle, the development of a mathematical model, numerical simulation using MATLAB and the analysis of the engine performance as a function of the main thermodynamic parameters, with special emphasis on applications in micro-power generation. A distinctive aspect of this study lies in the comprehensive treatment of the polynomial dependence of specific heat in all thermodynamic processes, enabling a more accurate representation of real gas behavior compared to idealized classical models. The mathematical model is formulated using the fundamental laws of thermodynamics and the ideal gas equation, as well as the well-known Schmidt model for the analytical description of pressure and volume throughout the cycle. A numerical simulation is then performed in MATLAB, where the work per cycle is calculated, p–V and T–s diagrams are generated, and the theoretical efficiency is evaluated for different operating temperatures and pressures. The simulation results show that increasing the temperature difference and average gas pressure significantly increases the mechanical output of the engine and the power output, while an efficient regenerator significantly improves the overall performance and brings the engine closer to Carnot efficiency. The study shows that the Stirling engine has significant potential for sustainable power generation systems, while the developed modeling and simulation framework provides a solid foundation for further experimental development and design optimization.

  • MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

    Exploring the Impact of Component Materials on the Energy Efficiency of Solar Panels for Water Heating: A Numerical and Experimental Investigation using labview Software

    Mathematical Modeling, Vol. 8 (2024), Issue 1, pg(s) 37-41

    This study examines the impact of component materials on the energy performance of solar panels designed for water heating. For this purpose, we have integrated numerical simulations and experimental analyzes enabled by algorithms developed with LabVIEW software. The primary objective of this investigation is to assess how the selection of materials in the construction of solar panels affects their overall efficiency in harnessing and converting solar energy into heat for water heating purposes. The research methodology involves the development and implementation of advanced algorithms using LabVIEW, a versatile software platform known for its proficiency in data acquisition, analysis, and control. Numerical simulations focus on modeling the behavior of solar panels under different conditions, taking into account factors such as radiation, temperature and the specific characteristics of different component materials. These simulations provide valuable assessments of theoretical aspects of solar panel performance and enable the identification of optimal material combinations. Through the physical model, experimental studies are conducted to validate the simulated results. Physical prototypes of solar panel components are built using various materials and their performance is rigorously evaluated under real-world conditions. Experimental measurements allow data collection, and enable comparative analysis with numerical simulations. The results of this study aim to contribute to the advancement of solar panel technology by providing a deeper understanding of how material choices affect energy efficiency. Moreover, the use of LabVIEW software in the development of algorithms ensures a systematic and accurate analysis of numerical and experimental data.

  • MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

    Optimization of pneumatic vane motor based on mathematical modeling and computer simulation

    Mathematical Modeling, Vol. 4 (2020), Issue 1, pg(s) 26-30

    Pneumatic vane motors are important actuators in industry, their optimization is difficult without e best mathematic model and computer simulation. In this article we presents a mathematical model for pneumatic vane type motors, construction of a simulation program associated with constructive engine parameters, experimental confirmation , and pneumatic motor performance optimization based on this model. The article begins with the description of the working principle of the vane type pneumatic motors, the geometric parameters that characterize it. The set of mathematical model equations consists in: the equations of geometry, the equation that describe the rotating moment, and equations expressing the mass flow into the motor. For the construction of the simulation program we have used the programming language of the G type LabView. Matching the results obtained from the simulation with the measured ones experimentally indicate that the built mathematical model is accurate and can be used to optimize pneumatic motors.