The goal of this course is to acquire knowledge about some aspects of the compressible flows and mastering of mathematical methods for modeling these flows present in a variety of practical problems. The student should: 1. acquire adequate theoretical knowledge in the field of advanced gas dynamics; 2. be trained to perform calculations of compressible flows; 3. become familiar with the preparation and procedures for experimental research in gas dynamics.

Attendance and regular monitoring of the theoretical and practical training the student should master the basic knowledge in the field of gas dynamics. This will enable him, on the one hand, to solve specific engineering problems in the elementary problems of compressible flows, and, on the other hand, help him to better understand other courses based on this scientific area.

Basic concepts. Basic equations. Continuity, momentum and energy equation. The concept of entropy. General theorems of gas dynamics. Disturbances of the final intensity. The normal shock wave. Oblique shock waves. Interaction and reflection of shock waves. Prantdl-Mayer expansion. Flow through the nozzle. Equations for isentropic flow with varying cross-section. Convergent and de Laval nozzle - regimes of flow in the nozzle. Non-isentropic flow. The influence of friction in the flows of gas in the pipes. Adiabatic and isothermal flow with friction. Flow with heat transfer.Characteristics of sonic flow over a body. Critical Mach number. Boundary layer. Interaction of shock waves and boundary layer. Experimental methods and devices. Methods for flow visualization. Various types of wind tunnels. Basic methods for measuring pressure and temperature. Anemometric methods.

Application of the basic equations of gas flow. Speed of sound. Critical and total values of physical quantities. Assessing the impact of compressibility. Isentropic gas flow. Calculation of normal shock wave. Conditions for the formation of oblique shock wave. Calculation of oblique shock wave. Calculation of gas flow through a sequence of shock waves. Interaction of shock waves in the flow field. Prandtl-Mayer expansion. Non-linearized airfoil theory. Calculation of the forces exerted by the fluid on airfoil in super-sonic flow. Calculation of flow through the nozzle. Flow through convergent nozzle. Flow through de Laval nozzle. Supersonic diffuser. Determining the value of reactive force. Non-isentropic flows. Calculation of adiabatic flows of viscous gas. Calculation of isothermal flow of viscous gas. Calculation of inviscid flows with heat transfer. Linearized airfoil theory.

Passed exam in course Fluid Mechanics and Thermodynamics

1.Handouts;

Total assigned hours: 65

New material: 30
Elaboration and examples (recapitulation): 20

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: 60
Project: 0
Final exam: 40
Requirement for taking the exam (required number of points): 50

Handouts, 2023.; Tables for calculation of compressible flows with theoretical handouts, Snežana S. Milićev, Aleksandar S. Ćoćić, Faculty of Mechanical Engineering, 2017.; Modern Comp ressible Flow: With Historical Perspective, Anderson, McGraw Hill, 2002.; Compressible Fluid Flow, M. A. Saad, 2020.