Skip to main content
SpringerLink
Log in

Mathematical Model of the Operation of Adiabatic Calorimetric Meters of Energy Flows of Particle Beams in the Dynamic Mode

  • Published:
Russian Microelectronics Aims and scope Submit manuscript

Abstract

A detailed analysis of the mathematical model of the adiabatic calorimeter is presented. An unsteady solution of the corresponding heat equation is presented and its features are considered. Two definitions of the response time of an adiabatic calorimeter operating, generally speaking, in a nonstationary mode are proposed. The question of determining the sensitivity of an adiabatic calorimeter is considered. Based on these definitions, a solution to the problem of the optimal choice of the material of the receiving plate in terms of the ratio of sensitivity and response time is proposed. Comparisons are made with some published experimental and theoretical results. The results obtained in this study can be used in the development and design of calorimetric systems for the diagnostics of beams of fast neutral particles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

Similar content being viewed by others

REFERENCES

  1. Kudrya, V.P. and Maishev, Yu.P., Fundamentals of the fast neutral beams diagnostics, Proc. SPIE, 2016, vol. 10224, pp. 10224-2C-1–12. https://doi.org/10.1117/12.2266889

  2. Kudrya, V.P. and Maishev, Yu.P., Physical principles of diagnostics of beams of fast neutral particles. I. Determination of the composition of the beam and the energy characteristics of its components, in Tr. FTIAN (Scientific Works of Phys. Technol. Inst. RAS), Moscow: Nauka, 2017, vol. 26, pp. 103–116. ISBN 978-5-02-039983-9.

  3. Kudrya, V.P. and Maishev, Yu.P., Physical principles of diagnostics of beams of fast neutral particles. II. Methods for determining the total flux of particles in a beam, in Tr. FTIAN (Scientific Works of Phys. Technol. Inst. RAS), Moscow: Nauka, 2018, vol. 27, pp. 89–98. ISBN 978-5-02-040089-4.

  4. Barr, W.L., A pulsed source of fast hydrogen atoms, J. Appl. Phys., 1971, vol. 42, no. 13, pp. 5411–5417. https://doi.org/10.1063/1.1659958

    Article  Google Scholar 

  5. Christodoulides, C.E. and Freeman, J.H., Ion beam studies. Part II: A calorimetric method for ion beam studies, Nucl. Instrum. Methods Phys. Res., 1976, vol. 135, no. 1, pp. 13–19. https://doi.org/10.1016/0029-554X(76)90819-3

    Article  Google Scholar 

  6. Mizutani, T. and Nishimatsu, S., Sputtering yield and radiation damage by neutral beam bombardment, J. Vac. Sci. Technol., A, 1988, vol. 6, no. 3, pp. 1417–1420. https://doi.org/10.1116/1.575717

    Article  Google Scholar 

  7. Shimokawa, F. and Nagai, K., A low-energy fast-atom source, Nucl. Instrum. Methods Phys. Res., Sect. B, 1988, vol. 33, nos. 1–4, pp. 867–870. https://doi.org/10.1016/0168-583X(88)90701-X

    Article  Google Scholar 

  8. Carslaw, H. and Jaeger, J., Conduction of Heat in Solids, Oxford: Clarendon, 1959, 2nd ed.

    MATH  Google Scholar 

  9. Roslyakov, G.V. and Fiksel’, G.I., Source of low-energy hydrogen atoms, Sov. J. Plasma Phys., 1986, vol. 12, no. 2, p. 136–139.

    Google Scholar 

  10. Burrell, C.F., Cooper, W.S., Steele, W.F., and Smith, R.R., Calorimetric and optical beam diagnostics of the LBL 120-keV neutral beam test facility, Preprint LBL-6383, Berkeley, CA: Lawrence Berkeley Laboratory, 1977. https://escholarship.org/uc/item/5hf1q80t.

  11. Watkins, J.G., Lasnier, C.J., Whyte, D.G., Stangeby, P.C., and Ulrickson, M.A., Calorimeter probe for the DIII-D divertor, Rev. Sci. Instrum., 2003, vol. 74, no. 3, pp. 1574–1577. https://doi.org/10.1063/1.1527241

    Article  Google Scholar 

  12. LBL/LLL CTR Staff, TFTR neutral beam injection system conceptual design, Preprint LBL-3296, Berkeley, CA: Lawrence Berkeley Laboratory, 1975. https://escholarship.org/uc/item/7j253360.

  13. Haughian, J.M., Cooper, W.S., and Paterson, J.A., The design and development of multi-megawatt beam dumps, Preprint LBL-5901, Berkeley, CA: Lawrence Berkeley Laboratory, 1976. https://escholarship.org/ uc/item/3jt946zn.

  14. Broido, A. and Willoughby, A.B., Measurement of intense beams of thermal radiation, J. Opt. Soc. Am., 1958, vol. 48, no. 5, pp. 344–350. https://doi.org/10.1364/JOSA.48.000344

    Article  Google Scholar 

Download references

Funding

The work was carried out as part of a state assignment of the Valiev Physics and Technology Institute, Russian Academy of Sciences, Ministry of Education and Science of Russian Federarion, no. 0066-2019-0004.

Author information

Authors and Affiliations

  1. Valiev Physics and Technology Institute, Russian Academy of Sciences, 117218, Moscow, Russia

    V. P. Kudrya

Authors
  1. V. P. Kudrya
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. P. Kudrya.

Ethics declarations

The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kudrya, V.P. Mathematical Model of the Operation of Adiabatic Calorimetric Meters of Energy Flows of Particle Beams in the Dynamic Mode. Russ Microelectron 51, 97–103 (2022). https://doi.org/10.1134/S1063739722010073

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063739722010073

Keywords:

Search

Navigation