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Name of the discipline

Continuum mechanics

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Course of study, specialty

3, specialty “Mechanics and mathematical modeling”

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Semester of training

6

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Amount of credits

2

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Surname, name, patronymic of the lecturer

Cand. fiz.-mat. Sci., Associate Professor Konon P.N.

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Objectives of studying the discipline

The aim of the course is to study models, methods and methods for solving problems of gas dynamics as a continuous medium.

  As a result of the study, the student should be able to:

• use the basic equations of mechanics of continuous media in the formulation of specific teaching and applied problems of gas dynamics;
• apply knowledge in the field of differential and integral equations, the theory of functions of a complex variable in the solution of these problems;
• apply approximate, asymptotic and numerical methods for solving problems of gas dynamics.

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Prerequisites

Theoretical mechanics. Equations of mathematical physics.

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Contents of the disciplines

• Model of a compressible gas medium.
• Fundamentals of thermodynamics.
• The Bernoulli integral for adiabatic flows of perfect gas. Flows in the Laval nozzle and a simple nozzle.
• One-dimensional nonstationary gas motions. Theory of sound.
• Surface of rupture inside ideal media. The problem of a strong nuclear explosion.
• Two – dimensional stationary gas motions. Chaplygin’s equation.
• The Euler-Tricomi equation.
• Transonic gas flow. Supersonic gas flow.

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Recommended literature

1. Cherny G. G. Gas dynamics. – M .: Nauka, 1989.
2. Sedov L.I. Continuum mechanics. T. 1.2. -Moscow: Nauka, 1994.
3. Landau L.D., Lifshits E.M. Hydromechanics.- M .: Nauka, 1986.
4. Kochin N.E., Kibel I.A., Roze N.V. Theoretical hydromechanics. Р. 1, 2. – Moscow: Fizmatgiz, 1963.
5. Loitsyansky L.G. Mechanics of a liquid and gas. – Moscow: Nauka, 1974.
6. The mechanics of continuous media in problems. Ed. M.E. Eglith. – Moscow: Moscow Lyceum, vols. I – II, 1996.

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Methods of teaching

Lectures. Practical lessons. Individual tasks. Test papers.

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Language of instruction

Russian

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Conditions (requirements)

The score on the exam is set taking into account:

• 40% – work in practical classes,
• 60% – verbal response in the exam.

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Format of current certification

Examination, offset