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Theoretical Studies of Parabolic and Hyperbolic Motion Equations to Refine the Liquid Rocket Engine Processes Design Parameters

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Abstract—

The problems of operation of a liquid-propellant rocket engine (LRE) on real gases with viscosity and compressibility are considered. The equations for laminar flow, which take into account the viscoelastic term characterizing the real flow, are analyzed and compared with the Euler equation for an ideal gas. The possibility of profiling supersonic nozzles of liquid-propellant rocket engines and other rocket engines is shown, taking into account the viscoelastic properties of real gas.

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REFERENCES

  1. Lipov, A.V., Teoriya teploprovodnosti (Heat Conduction Theory), Moscow: Vysshaya Shkola, 1967.

  2. Kudinov, V.A. and Kudinov, I.V., Metody resheniya parabolicheskikh i giperbolicheskikh uravnenii teploprovodnosti (Methods for Solving Parabolic and Hyperbolic Equations of Heat Conduction), Moscow: Librokom, 2019.

  3. Trikomi, F.D., O lineinykh uravneniyakh smeshannogo tipa (On Linear Equations of Mixed Type), Moscow: Gostekhizdat, 1947.

  4. Avduevskii, V.S., Galitseiskii, B.M., Glebov, G.A., et al., Osnovy teploperedachi v aviatsionnoi i raketno-kosmicheskoi tekhnike (Fundamentals of Heat Transfer in Aviation and Rocket and Space Engineering), Moscow: Mashinostroenie, 1975.

  5. Kochetkov, Yu.M., Turbulence of supersonic currents. In memory of Gilevich, Dvigatel’, 2013, no. 2, pp. 48–50.

  6. Kochetkov, Yu.M., Turbulence and mathematical proof of its impossibility in supersonic flow, Dvigatel’, 2018, no. 3, pp. 12–15.

  7. Mkrtchyan, M.K. and Kochetkov, Yu.M., Gas dynamic characteristics computing of a liquid propellant rocket engine for laminar flows, Vestn. Mosk. Aviats. Inst., 2021, vol. 28, no. 2, pp. 166–176.

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  8. Mkrtchyan, M.K., Energy equation in Poisson form for solving laminar flow problems, Dvigatel’, 2021, nos. 1–2, p. 49.

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Authors and Affiliations

  1. Moscow Aviation Institute (NRU), Moscow, Russia

    Nikolai Y. Kochetkov

  2. “Region” State Research and Production Enterprise, Moscow, Russia

    Mger K. Mkrtchyan

Authors
  1. Nikolai Y. Kochetkov
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  2. Mger K. Mkrtchyan
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Corresponding authors

Correspondence to Nikolai Y. Kochetkov or Mger K. Mkrtchyan.

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The authors declare that they have no conflicts of interest.

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Kochetkov, N.Y., Mkrtchyan, M.K. Theoretical Studies of Parabolic and Hyperbolic Motion Equations to Refine the Liquid Rocket Engine Processes Design Parameters. Russ. Engin. Res. 43, 541–544 (2023). https://doi.org/10.3103/S1068798X23050507

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  • DOI: https://doi.org/10.3103/S1068798X23050507

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