TEMPERATURE DISTRIBUTION DURING POWDER COATINGS APPLYING USING PLASMA STREAM WITHIN THEIR CONTACT WITH THE SUBSTRATE LAYER


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Abstract

This paper presents the results of mathematical modeling of temperature state of the “substrate – intermediate layer” system when applying ferromagnetic powder protective coatings on the steel samples. The authors consider the issues of temperature and temperature gradients distribution in the substrate and the underlayer, and in the area of their contact and describe in detail the process of coating applying using the plasma stream produced by the electrical discharge with the liquid cathode, as well as the plasma sprayer for ferromagnetic powder applying. The paper considers the method of ferromagnetic powder producing. To solve the issue, the authors use Fourier method and give the initial data for the computational scheme implementation. The results of numerical calculations are presented in the form of dependences of temperature behavior in time in the intermediate layer contact with the substrate and the time dependence of Q = q-φ value; where q – is the heat flux density incident to the underlayer free surface; and φ – is the heat flux density within the contact of the underlayer with the substrate. Data analysis shows that within the “substrate – intermediate layer” contact heat exchange systems with the similar values of thermal and physical characteristics of the constituent materials, the slow contact temperature growth in time is observed. Heat flux density within the contact area of underlayer and substrate layer in such systems slightly differs from the flux density causing the underlayer free surface heating and they tend to equalize with time. These t1 (τ) and Q (τ) time dependences are stipulated by the condition when the substrate layer thickness exceeds considerably the underlayer thickness.

About the authors

Almaz Anzyapovich Khafizov

Branch of Kazan (Volga Region) Federal University in Naberezhnye Chelny, Naberezhnye Chelny

Author for correspondence.
Email: almazok75@yandex.ru

senior lecturer of Chair “Power and electrical engineering”

Russian Federation

Yunus Idrisovich Shakirov

Branch of Kazan (Volga Region) Federal University in Naberezhnye Chelny, Naberezhnye Chelny

Email: inekashakirov@mail.ru

PhD (Engineering), Associate Professor, Head of Chair “Power and electrical engineering”

Russian Federation

Samat Nizamutdinovich Timergaliev

Branch of Kazan (Volga Region) Federal University in Naberezhnye Chelny, Naberezhnye Chelny

Email: samat_tim@mail.ru

Doctor of Science (Physics and Mathematics), Professor, Head of Chair “Mathematics”

Russian Federation

Vladimir Ivanovich Ilyin

Branch of Kazan (Volga Region) Federal University in Naberezhnye Chelny, Naberezhnye Chelny

Email: fake@neicon.ru

PhD (Engineering), assistant professor of Chair “Power and electrical engineering”

Russian Federation

References

  1. Shakirov Yu.I., Valiev R.I., Hafizov A.A., Shakirova G.Yu. Multi-channel plasma apparatus for processing of materials. Avtomobilnaya promyshlennost, 2011, no. 2, pp. 36–38.
  2. Shakirov Yu.I., Valiev R.I., Hafizov A.A., Shakirova G.Yu. Applying of coatings and surface hardening with ferromagnetic powder in electric discharge. Sbornik trudov mezhdunar. nauchno-tekhn. i obrazovat. konf. “Obrazovanie i nauka – proizvodstvu”. Naberezhnye Chelny: INEKA Publ., 2010, pp. 201–203.
  3. Fridman Ya.B. Mekhanicheskie svoystva metallov. Ch. 2. Mekhanicheskie ispytaniya [Mechanical properties of metals. P. 2. Mechanical tests]. Зrd ed. Moscow, Mashinostroenie Publ., 1974, 368 p.
  4. Birger I.A. Ostatochnye napryazheniya [Residual stresses]. Moscow, Mashgiz Publ., 1963, 232 p.
  5. Kolot V.A. Use of resource-saving vibration and finishing-hardening methods of processing of non-hard parts in heavy engineering. Tekhnologiya, ekonomika, organizatsiya proizvodstva i upravleniya. Seriya 8, 1991, no. 24, p. 56.
  6. Girenko V.S., Kotenko E.V. The influence of residual stresses and age hardening on the resistance of steels to brittle fracture initiation. Avtomaticheskaya svarka, 1968, no. 2, pp. 34–37.
  7. Vishnyakov Ya.D., Piskarev V.D. Upravlenie ostatochnymi napryazheniyami v metallakh i splavakh [Control of residual stresses in metals and alloys]. Moscow, Metallurgiya Publ., 1989, 254 p.
  8. Matveev N.V., Krasnov A.N., Miloserdov I.V., Oreshchenkov Yu.V., Izvolenskii E.V. Residual stresses in titanium nitride coating deposited in a vacuum. Strength of Materials, 1985, vol. 17, no. 5, pp. 692–696.
  9. Mrochek Zh.A., Antonenko A.B., Vershina A.K. Distribution of temperature and heat flow within the contact of base coat with interlayer during arc welding applying of protective coating. Elektronnaya obrabotka materialov, 1987, no. 1, pp. 23–26.
  10. Birger I.A., Mavlyutov R.R. Soprotivlenie materialov [Strength of materials]. Moscow, Nauka Publ., 1986, 560 p.
  11. Khafizov A.A., Valiev R.A., Valiev R.I., Shakirov Yu.I. Steel surface modification with plasma spraying electrothermal installation using a liquid electrode. Journal of Physics: Conference Series, 2014, vol. 567. doi: 10.1088/1742-6596/567/1/012026.
  12. Khafizov A.A., Shakirov B.Yu., Shakirov Yu.I. Surface hardening of components by automatic plasma electrothermal installation with molten cathode. IOP Conf. Series: Materials Science and Engineering, 2014, vol. 69. doi: 10.1088/1757-899X/69/1/012019.
  13. Valiev R.I., Gaysin A.F., Gaysin F.M., Gumerov A.Z., Nasibullin R.T., Sadriev R.Sh., Sarimov L.R., Khafizov A.A. Some peculiarities of producing fine ferrous oxide powders in low-temperature plasma of electric discharge with fluid cathode. Izvestiya vysshikh uchebnykh zavedeniy. Fizika, 2014, vol. 57, no. 3-3, pp. 66–69.
  14. Shakirov Yu.I., Valiev R.I., Khafizov A.A., Shakirova G.Yu. Production of ferromagnetic powders in electric discharge for manufacturing of vehicle parts. Materialy VI Mezhdunar. nauchno-prakt. konf. “Avtomobil i tekhnosfera”. Kazan, 2011, pp. 140–141.
  15. Sobolev S.L. Uravneniya matematicheskoy fiziki [Equitation of mathematical physics]. Moscow, Nauka Publ., 1966, 444 p.
  16. Koshlyakov N.S., Gliner E.B., Smirnov M.M. Uravneniya v chastnykh proizvodnykh matematicheskoy fiziki [Equitation in partial derivatives of mathematical physics]. Moscow, Vysshaya shkola Publ., 1970, 710 p.
  17. Volterra V. Teoriya funktsionalov, integralnykh i integro-differentsialnykh uravneniy [Theory of functionals and of integral and integro-defferential equations]. Moscow, Nauka Publ., 1982, 304 p.
  18. Lebedev N.N. Spetsialnye funktsii i ikh prilozheniya [Special functions and their applications]. Leningrad, Fizmatgiz Publ., 1963, 358 p.
  19. Bakhvalov N.S., Zhidkov N.P., Kobelkov G.M. Chislennye medoty [Numerical methods]. Moscow, Nauka Publ., 1987, 600 p.
  20. Hamming R.W. Chislennye medoty [Numerical methods for scientists and engineers]. 2nd ed. Moscow, Nauka Publ., 1972, 400 p.

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