The goal of the course is to acquaint students with the types of mathematical models of engine working process and all aspects of so-called "zero-dimensional" model of engine real cycle. Mathematical modeling and computer simulation of working cycle have important role in engine design optimization and improvement of engine performances, energetic and ecological characteristics. Acquiring new knowledge on role and importance of modelling dynamic processes in IC Engines. Broadening theoretical knowledge and analytical approach to thermodynamics, heat and mass transfer, fluid mechanics and fuel combustion by studying dynamic processes in IC Engine cylinder and collectors. Broadening knowledge and skills in applied computational methods and modular programming. Developing practical skills to design complex model structures and apply extensive and efficient numerical methods for studying and research of IC Engine dynamic processes.

Understanding the reality and complexity of Heat Engines working cycles. Capabilities to design complex models and sub-models structures using multidisciplinary approach. Capabilities to analyse engine processes and performance using advanced simulation models. Establishing the Cause & Effect relationship between working cycle and engine performance.

1.Importance of mathematical modeling and computer simulation of engine working process for engine design optimization and improving of engine performances, energetic and ecological characteristics. 2. Basic differential equations of so called "zero-dimensional" model of real working cycle for engine cylinder as open thermodynamical system based on first and second lows of thermodynamic and low of mass conservation. 3. Modeling of gas flow through the restriction points (intake and exhaust valves, crevices) based on isentropic flow of compressible fluid. Analytical and experimental determination of flow coefficients. 4. Modeling of heat transfer to cylinder walls. Theoretical fundamentals and practical equations for the evaluation of heat transfer coefficient. 5. Modeling of engine combustion process (heat release). Types of engine heat release models. The model engine heat release based one stage and two stage Wiebe functions and the correlation of Viebe function parameters with engine type and engine speed and load. "Quasi-dimensional" models of engine heat release: model of turbulent flame front propagation for spark ignition engines; model of multi-zone combustion in fuel spray for diesel engines "model Hiroyasu". 6. Specific problems of numerical solutions of model differential equations. 7. Experimental testing of engine working process: recording of in-cylinder pressure history; identification of model non sufficient known parameters; verification of cycle simulation results based on experimental results.

1. Cylinder model structure development – Demonstration and Analysis of different models 2. Properties of the working fluid – Demonstration and comparative analysis, empirical models and chemical equilibrium 3. Wiebe single & multi-stage parametric combustion model, flame propagation models, Hiroyasu model 4. Heat transfer models – Demonstration and comparative analysis of different models 5. Gas dynamics – Model structure development, analysis and demonstration using commercial software packages 6. Student project task –SI/CI IC engine simulation model development 7. Laboratory Task: - In-cylinder pressure measurement and combustion analysis

Passed exam in Numerical methods. Good practical knowledge of Matlab/Simulink

Mathworks Matlab/Simulink IDE (Licenced) Ricardo WAVE – 1D Engine and gas dynamics simulation software package (Licenced) LMS Imagine.Lab AMESim – Simulation software for modelling and analysis of 1D systems (Licenced) Laboratories equipped with IC Engine testing equipement (fully equiped IC Engine test benches) DAQ Measurement equipement (National Instruments PXI based system with Labview Developement software)

Total assigned hours: 65

New material: 50
Elaboration and examples (recapitulation): 0

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 10
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 5

Activity during lectures: 0
Test/test: 0
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 70
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 50

Selected books from premium publishers: Springer Verlag, Teubner, McGraw-Hill, Butterworth-Heinemann, Elsevier; Extensive selection of articles and papers: IMechE, SAE, JSAE, ASME, MTZ/ATZ, Elsevier etc.; J. Heywood: Internal Combustion Engine Fundamentals, McGraw Hill, ISBN-13: 978-1260116106, 2018; R. Pischinger , M. Klell , T. Sams: Thermodynamik der Verbrennungskraftmaschine, ISBN: 978-3-211-99277-7, Springer Verlag, 2010; G. P. Merker et. al.: Simulating combustion and pollutant formation for engine development, Springer Verlag, ISBN 10 3-540-25161-8, 13 978-3-540-25161-3, 2006